---
_id: '46372'
abstract:
- lang: eng
  text: We present a new hybrid evolutionary algorithm for the effective hypervolume
    approximation of the Pareto front of a given differentiable multi-objective optimization
    problem. Starting point for the local search (LS) mechanism is a new division
    of the decision space as we will argue that in each of these regions a different
    LS strategy seems to be most promising. For the LS in two out of the three regions
    we will utilize and adapt the Directed Search method which is capable of steering
    the search into any direction given in objective space and which is thus well
    suited for the problem at hand. We further on integrate the resulting LS mechanism
    into SMS-EMOA, a state-of-the-art evolutionary algorithm for hypervolume approximations.
    Finally, we will present some numerical results on several benchmark problems
    with two and three objectives indicating the strength and competitiveness of the
    novel hybrid.
author:
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: Hernandez VA
  full_name: Sosa, Hernandez VA
  last_name: Sosa
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
citation:
  ama: Schütze O, Sosa HV, Trautmann H, Rudolph G. The Hypervolume based Directed
    Search Method for Multi-Objective Optimization Problems. <i>Journal of Heuristics</i>.
    2016;22(3):273–300. doi:<a href="https://doi.org/10.1007/s10732-016-9310-0">10.1007/s10732-016-9310-0</a>
  apa: Schütze, O., Sosa, H. V., Trautmann, H., &#38; Rudolph, G. (2016). The Hypervolume
    based Directed Search Method for Multi-Objective Optimization Problems. <i>Journal
    of Heuristics</i>, <i>22</i>(3), 273–300. <a href="https://doi.org/10.1007/s10732-016-9310-0">https://doi.org/10.1007/s10732-016-9310-0</a>
  bibtex: '@article{Schütze_Sosa_Trautmann_Rudolph_2016, title={The Hypervolume based
    Directed Search Method for Multi-Objective Optimization Problems}, volume={22},
    DOI={<a href="https://doi.org/10.1007/s10732-016-9310-0">10.1007/s10732-016-9310-0</a>},
    number={3}, journal={Journal of Heuristics}, author={Schütze, O and Sosa, Hernandez
    VA and Trautmann, Heike and Rudolph, G}, year={2016}, pages={273–300} }'
  chicago: 'Schütze, O, Hernandez VA Sosa, Heike Trautmann, and G Rudolph. “The Hypervolume
    Based Directed Search Method for Multi-Objective Optimization Problems.” <i>Journal
    of Heuristics</i> 22, no. 3 (2016): 273–300. <a href="https://doi.org/10.1007/s10732-016-9310-0">https://doi.org/10.1007/s10732-016-9310-0</a>.'
  ieee: 'O. Schütze, H. V. Sosa, H. Trautmann, and G. Rudolph, “The Hypervolume based
    Directed Search Method for Multi-Objective Optimization Problems,” <i>Journal
    of Heuristics</i>, vol. 22, no. 3, pp. 273–300, 2016, doi: <a href="https://doi.org/10.1007/s10732-016-9310-0">10.1007/s10732-016-9310-0</a>.'
  mla: Schütze, O., et al. “The Hypervolume Based Directed Search Method for Multi-Objective
    Optimization Problems.” <i>Journal of Heuristics</i>, vol. 22, no. 3, 2016, pp.
    273–300, doi:<a href="https://doi.org/10.1007/s10732-016-9310-0">10.1007/s10732-016-9310-0</a>.
  short: O. Schütze, H.V. Sosa, H. Trautmann, G. Rudolph, Journal of Heuristics 22
    (2016) 273–300.
date_created: 2023-08-04T15:19:11Z
date_updated: 2023-10-16T13:40:43Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/s10732-016-9310-0
intvolume: '        22'
issue: '3'
language:
- iso: eng
page: 273–300
publication: Journal of Heuristics
status: public
title: The Hypervolume based Directed Search Method for Multi-Objective Optimization
  Problems
type: journal_article
user_id: '15504'
volume: 22
year: '2016'
...
---
_id: '46368'
abstract:
- lang: eng
  text: Exploratory Landscape Analysis (ELA) aims at understanding characteristics
    of single-objective continuous (black-box) optimization problems in an automated
    way. Moreover, the approach provides the basis for constructing algorithm selection
    models for unseen problem instances. Recently, it has gained increasing attention
    and numerical features have been designed by various research groups. This paper
    introduces the R-Package FLACCO which makes all relevant features available in
    a unified framework together with efficient helper functions. Moreover, a case
    study which gives perspectives to ELA for multi-objective optimization problems
    is presented.
author:
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Kerschke P, Trautmann H. The R-Package FLACCO for Exploratory Landscape Analysis
    with Applications to Multi-Objective Optimization Problems. In: <i>Proceedings
    of the IEEE Congress on Evolutionary Computation (CEC)</i>. ; 2016. doi:<a href="https://doi.org/10.1109/CEC.2016.7748359">10.1109/CEC.2016.7748359</a>'
  apa: Kerschke, P., &#38; Trautmann, H. (2016). The R-Package FLACCO for Exploratory
    Landscape Analysis with Applications to Multi-Objective Optimization Problems.
    <i>Proceedings of the IEEE Congress on Evolutionary Computation (CEC)</i>. <a
    href="https://doi.org/10.1109/CEC.2016.7748359">https://doi.org/10.1109/CEC.2016.7748359</a>
  bibtex: '@inproceedings{Kerschke_Trautmann_2016, place={Vancouver, BC, Kanada},
    title={The R-Package FLACCO for Exploratory Landscape Analysis with Applications
    to Multi-Objective Optimization Problems}, DOI={<a href="https://doi.org/10.1109/CEC.2016.7748359">10.1109/CEC.2016.7748359</a>},
    booktitle={Proceedings of the IEEE Congress on Evolutionary Computation (CEC)},
    author={Kerschke, Pascal and Trautmann, Heike}, year={2016} }'
  chicago: Kerschke, Pascal, and Heike Trautmann. “The R-Package FLACCO for Exploratory
    Landscape Analysis with Applications to Multi-Objective Optimization Problems.”
    In <i>Proceedings of the IEEE Congress on Evolutionary Computation (CEC)</i>.
    Vancouver, BC, Kanada, 2016. <a href="https://doi.org/10.1109/CEC.2016.7748359">https://doi.org/10.1109/CEC.2016.7748359</a>.
  ieee: 'P. Kerschke and H. Trautmann, “The R-Package FLACCO for Exploratory Landscape
    Analysis with Applications to Multi-Objective Optimization Problems,” 2016, doi:
    <a href="https://doi.org/10.1109/CEC.2016.7748359">10.1109/CEC.2016.7748359</a>.'
  mla: Kerschke, Pascal, and Heike Trautmann. “The R-Package FLACCO for Exploratory
    Landscape Analysis with Applications to Multi-Objective Optimization Problems.”
    <i>Proceedings of the IEEE Congress on Evolutionary Computation (CEC)</i>, 2016,
    doi:<a href="https://doi.org/10.1109/CEC.2016.7748359">10.1109/CEC.2016.7748359</a>.
  short: 'P. Kerschke, H. Trautmann, in: Proceedings of the IEEE Congress on Evolutionary
    Computation (CEC), Vancouver, BC, Kanada, 2016.'
date_created: 2023-08-04T15:14:52Z
date_updated: 2023-10-16T13:39:06Z
department:
- _id: '34'
- _id: '819'
doi: 10.1109/CEC.2016.7748359
language:
- iso: eng
place: Vancouver, BC, Kanada
publication: Proceedings of the IEEE Congress on Evolutionary Computation (CEC)
status: public
title: The R-Package FLACCO for Exploratory Landscape Analysis with Applications to
  Multi-Objective Optimization Problems
type: conference
user_id: '15504'
year: '2016'
...
---
_id: '46370'
abstract:
- lang: eng
  text: This report documents the talks and discussions at the Dagstuhl Seminar 15211
    "Theory of Evolutionary Algorithms". This seminar, now in its 8th edition, is
    the main meeting point of the highly active theory of randomized search heuristics
    subcommunities in Australia, Asia, North America, and Europe. Topics intensively
    discussed include rigorous runtime analysis and computational complexity theory
    for randomised search heuristics, information geometry of randomised search, and
    synergies between the theory of evolutionary algorithms and theories of natural
    evolution.
author:
- first_name: F
  full_name: Neumann, F
  last_name: Neumann
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Neumann F, Trautmann H. Working Group Report: Bridging the Gap Between Experiments
    and Theory Using Feature-Based Run-Time Analysis; Theory of Evolutionary Algorithms
    (Dagstuhl Seminar 15211). <i>Dagstuhl Reports</i>. 2016;5(5):78–79. doi:<a href="https://doi.org/10.4230/DagRep.5.5.57">10.4230/DagRep.5.5.57</a>'
  apa: 'Neumann, F., &#38; Trautmann, H. (2016). Working Group Report: Bridging the
    Gap Between Experiments and Theory Using Feature-Based Run-Time Analysis; Theory
    of Evolutionary Algorithms (Dagstuhl Seminar 15211). <i>Dagstuhl Reports</i>,
    <i>5</i>(5), 78–79. <a href="https://doi.org/10.4230/DagRep.5.5.57">https://doi.org/10.4230/DagRep.5.5.57</a>'
  bibtex: '@article{Neumann_Trautmann_2016, title={Working Group Report: Bridging
    the Gap Between Experiments and Theory Using Feature-Based Run-Time Analysis;
    Theory of Evolutionary Algorithms (Dagstuhl Seminar 15211)}, volume={5}, DOI={<a
    href="https://doi.org/10.4230/DagRep.5.5.57">10.4230/DagRep.5.5.57</a>}, number={5},
    journal={Dagstuhl Reports}, author={Neumann, F and Trautmann, Heike}, year={2016},
    pages={78–79} }'
  chicago: 'Neumann, F, and Heike Trautmann. “Working Group Report: Bridging the Gap
    Between Experiments and Theory Using Feature-Based Run-Time Analysis; Theory of
    Evolutionary Algorithms (Dagstuhl Seminar 15211).” <i>Dagstuhl Reports</i> 5,
    no. 5 (2016): 78–79. <a href="https://doi.org/10.4230/DagRep.5.5.57">https://doi.org/10.4230/DagRep.5.5.57</a>.'
  ieee: 'F. Neumann and H. Trautmann, “Working Group Report: Bridging the Gap Between
    Experiments and Theory Using Feature-Based Run-Time Analysis; Theory of Evolutionary
    Algorithms (Dagstuhl Seminar 15211),” <i>Dagstuhl Reports</i>, vol. 5, no. 5,
    pp. 78–79, 2016, doi: <a href="https://doi.org/10.4230/DagRep.5.5.57">10.4230/DagRep.5.5.57</a>.'
  mla: 'Neumann, F., and Heike Trautmann. “Working Group Report: Bridging the Gap
    Between Experiments and Theory Using Feature-Based Run-Time Analysis; Theory of
    Evolutionary Algorithms (Dagstuhl Seminar 15211).” <i>Dagstuhl Reports</i>, vol.
    5, no. 5, 2016, pp. 78–79, doi:<a href="https://doi.org/10.4230/DagRep.5.5.57">10.4230/DagRep.5.5.57</a>.'
  short: F. Neumann, H. Trautmann, Dagstuhl Reports 5 (2016) 78–79.
date_created: 2023-08-04T15:17:00Z
date_updated: 2023-10-16T13:40:00Z
department:
- _id: '34'
- _id: '819'
doi: 10.4230/DagRep.5.5.57
intvolume: '         5'
issue: '5'
language:
- iso: eng
page: 78–79
publication: Dagstuhl Reports
status: public
title: 'Working Group Report: Bridging the Gap Between Experiments and Theory Using
  Feature-Based Run-Time Analysis; Theory of Evolutionary Algorithms (Dagstuhl Seminar
  15211)'
type: journal_article
user_id: '15504'
volume: 5
year: '2016'
...
---
_id: '46365'
abstract:
- lang: eng
  text: Despite the intrinsic hardness of the Traveling Salesperson Problem (TSP)
    heuristic solvers, e.g., LKH+restart and EAX+restart, are remarkably successful
    in generating satisfactory or even optimal solutions. However, the reasons for
    their success are not yet fully understood. Recent approaches take an analytical
    viewpoint and try to identify instance features, which make an instance hard or
    easy to solve. We contribute to this area by generating instance sets for couples
    of TSP algorithms A and B by maximizing/minimizing their performance difference
    in order to generate instances which are easier to solve for one solver and much
    harder to solve for the other. This instance set offers the potential to identify
    key features which allow to distinguish between the problem hardness classes of
    both algorithms.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Bossek J, Trautmann H. Evolving Instances for Maximizing Performance Differences
    of State-of-The-Art Inexact TSP Solvers. In: Festa P, Sellmann M, Vanschoren J,
    eds. <i>Learning and Intelligent Optimization</i>. Vol 10079. Lecture Notes in
    Computer Science. Springer International Publishing; 2016:48–59. doi:<a href="https://doi.org/10.1007/978-3-319-50349-3_4">10.1007/978-3-319-50349-3_4</a>'
  apa: Bossek, J., &#38; Trautmann, H. (2016). Evolving Instances for Maximizing Performance
    Differences of State-of-The-Art Inexact TSP Solvers. In P. Festa, M. Sellmann,
    &#38; J. Vanschoren (Eds.), <i>Learning and Intelligent Optimization</i> (Vol.
    10079, pp. 48–59). Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-50349-3_4">https://doi.org/10.1007/978-3-319-50349-3_4</a>
  bibtex: '@inproceedings{Bossek_Trautmann_2016, place={Ischia, Italy}, series={Lecture
    Notes in Computer Science}, title={Evolving Instances for Maximizing Performance
    Differences of State-of-The-Art Inexact TSP Solvers}, volume={10079}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-50349-3_4">10.1007/978-3-319-50349-3_4</a>},
    booktitle={Learning and Intelligent Optimization}, publisher={Springer International
    Publishing}, author={Bossek, Jakob and Trautmann, Heike}, editor={Festa, P and
    Sellmann, M and Vanschoren, J}, year={2016}, pages={48–59}, collection={Lecture
    Notes in Computer Science} }'
  chicago: 'Bossek, Jakob, and Heike Trautmann. “Evolving Instances for Maximizing
    Performance Differences of State-of-The-Art Inexact TSP Solvers.” In <i>Learning
    and Intelligent Optimization</i>, edited by P Festa, M Sellmann, and J Vanschoren,
    10079:48–59. Lecture Notes in Computer Science. Ischia, Italy: Springer International
    Publishing, 2016. <a href="https://doi.org/10.1007/978-3-319-50349-3_4">https://doi.org/10.1007/978-3-319-50349-3_4</a>.'
  ieee: 'J. Bossek and H. Trautmann, “Evolving Instances for Maximizing Performance
    Differences of State-of-The-Art Inexact TSP Solvers,” in <i>Learning and Intelligent
    Optimization</i>, 2016, vol. 10079, pp. 48–59, doi: <a href="https://doi.org/10.1007/978-3-319-50349-3_4">10.1007/978-3-319-50349-3_4</a>.'
  mla: Bossek, Jakob, and Heike Trautmann. “Evolving Instances for Maximizing Performance
    Differences of State-of-The-Art Inexact TSP Solvers.” <i>Learning and Intelligent
    Optimization</i>, edited by P Festa et al., vol. 10079, Springer International
    Publishing, 2016, pp. 48–59, doi:<a href="https://doi.org/10.1007/978-3-319-50349-3_4">10.1007/978-3-319-50349-3_4</a>.
  short: 'J. Bossek, H. Trautmann, in: P. Festa, M. Sellmann, J. Vanschoren (Eds.),
    Learning and Intelligent Optimization, Springer International Publishing, Ischia,
    Italy, 2016, pp. 48–59.'
date_created: 2023-08-04T15:10:58Z
date_updated: 2024-06-10T11:58:25Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-50349-3_4
editor:
- first_name: P
  full_name: Festa, P
  last_name: Festa
- first_name: M
  full_name: Sellmann, M
  last_name: Sellmann
- first_name: J
  full_name: Vanschoren, J
  last_name: Vanschoren
intvolume: '     10079'
language:
- iso: eng
page: 48–59
place: Ischia, Italy
publication: Learning and Intelligent Optimization
publication_identifier:
  isbn:
  - 978-3-319-50348-6
publisher: Springer International Publishing
series_title: Lecture Notes in Computer Science
status: public
title: Evolving Instances for Maximizing Performance Differences of State-of-The-Art
  Inexact TSP Solvers
type: conference
user_id: '15504'
volume: 10079
year: '2016'
...
---
_id: '46366'
abstract:
- lang: eng
  text: State of the Art inexact solvers of the NP-hard Traveling Salesperson Problem
    (TSP) are known to mostly yield high-quality solutions in reasonable computation
    times. With the purpose of understanding different levels of instance difficulties,
    instances for the current State of the Art heuristic TSP solvers LKH+restart and
    EAX+restart are presented which are evolved using a sophisticated evolutionary
    algorithm. More specifically, the performance differences of the respective solvers
    are maximized resulting in instances which are easier to solve for one solver
    and much more difficult for the other. Focusing on both optimization directions,
    instance features are identified which characterize both types of instances and
    increase the understanding of solver performance differences.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Bossek J, Trautmann H. Understanding Characteristics of Evolved Instances
    for State-of-the-Art Inexact TSP Solvers with Maximum Performance Difference.
    In: Adorni G, Cagnoni S, Gori M, Maratea M, eds. <i>AI*IA 2016 Advances in Artificial
    Intelligence</i>. Vol 10037. Lecture Notes in Computer Science. Springer; 2016:3–12.
    doi:<a href="https://doi.org/10.1007/978-3-319-49130-1_1">10.1007/978-3-319-49130-1_1</a>'
  apa: Bossek, J., &#38; Trautmann, H. (2016). Understanding Characteristics of Evolved
    Instances for State-of-the-Art Inexact TSP Solvers with Maximum Performance Difference.
    In G. Adorni, S. Cagnoni, M. Gori, &#38; M. Maratea (Eds.), <i>AI*IA 2016 Advances
    in Artificial Intelligence</i> (Vol. 10037, pp. 3–12). Springer. <a href="https://doi.org/10.1007/978-3-319-49130-1_1">https://doi.org/10.1007/978-3-319-49130-1_1</a>
  bibtex: '@inproceedings{Bossek_Trautmann_2016, place={Cham}, series={Lecture Notes
    in Computer Science}, title={Understanding Characteristics of Evolved Instances
    for State-of-the-Art Inexact TSP Solvers with Maximum Performance Difference},
    volume={10037}, DOI={<a href="https://doi.org/10.1007/978-3-319-49130-1_1">10.1007/978-3-319-49130-1_1</a>},
    booktitle={AI*IA 2016 Advances in Artificial Intelligence}, publisher={Springer},
    author={Bossek, Jakob and Trautmann, Heike}, editor={Adorni, G and Cagnoni, S
    and Gori, M and Maratea, M}, year={2016}, pages={3–12}, collection={Lecture Notes
    in Computer Science} }'
  chicago: 'Bossek, Jakob, and Heike Trautmann. “Understanding Characteristics of
    Evolved Instances for State-of-the-Art Inexact TSP Solvers with Maximum Performance
    Difference.” In <i>AI*IA 2016 Advances in Artificial Intelligence</i>, edited
    by G Adorni, S Cagnoni, M Gori, and M Maratea, 10037:3–12. Lecture Notes in Computer
    Science. Cham: Springer, 2016. <a href="https://doi.org/10.1007/978-3-319-49130-1_1">https://doi.org/10.1007/978-3-319-49130-1_1</a>.'
  ieee: 'J. Bossek and H. Trautmann, “Understanding Characteristics of Evolved Instances
    for State-of-the-Art Inexact TSP Solvers with Maximum Performance Difference,”
    in <i>AI*IA 2016 Advances in Artificial Intelligence</i>, 2016, vol. 10037, pp.
    3–12, doi: <a href="https://doi.org/10.1007/978-3-319-49130-1_1">10.1007/978-3-319-49130-1_1</a>.'
  mla: Bossek, Jakob, and Heike Trautmann. “Understanding Characteristics of Evolved
    Instances for State-of-the-Art Inexact TSP Solvers with Maximum Performance Difference.”
    <i>AI*IA 2016 Advances in Artificial Intelligence</i>, edited by G Adorni et al.,
    vol. 10037, Springer, 2016, pp. 3–12, doi:<a href="https://doi.org/10.1007/978-3-319-49130-1_1">10.1007/978-3-319-49130-1_1</a>.
  short: 'J. Bossek, H. Trautmann, in: G. Adorni, S. Cagnoni, M. Gori, M. Maratea
    (Eds.), AI*IA 2016 Advances in Artificial Intelligence, Springer, Cham, 2016,
    pp. 3–12.'
date_created: 2023-08-04T15:11:47Z
date_updated: 2024-06-10T11:58:12Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-49130-1_1
editor:
- first_name: G
  full_name: Adorni, G
  last_name: Adorni
- first_name: S
  full_name: Cagnoni, S
  last_name: Cagnoni
- first_name: M
  full_name: Gori, M
  last_name: Gori
- first_name: M
  full_name: Maratea, M
  last_name: Maratea
intvolume: '     10037'
language:
- iso: eng
page: 3–12
place: Cham
publication: AI*IA 2016 Advances in Artificial Intelligence
publication_identifier:
  isbn:
  - 978-3-319-49129-5
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Understanding Characteristics of Evolved Instances for State-of-the-Art Inexact
  TSP Solvers with Maximum Performance Difference
type: conference
user_id: '15504'
volume: 10037
year: '2016'
...
---
_id: '46373'
abstract:
- lang: eng
  text: The need for automatic methods of topic discovery in the Internet grows exponentially
    with the amount of available textual information. Nowadays it becomes impossible
    to manually read even a small part of the information in order to reveal the underlying
    topics. Social media provide us with a great pool of user generated content, where
    topic discovery may be extremely useful for businesses, politicians, researchers,
    and other stakeholders. However, conventional topic discovery methods, which are
    widely used in large text corpora, face several challenges when they are applied
    in social media and particularly in Twitter – the most popular microblogging platform.
    To the best of our knowledge no comprehensive overview of these challenges and
    of the methods dedicated to address these challenges does exist in IS literature
    until now. Therefore, this paper provides an overview of these challenges, matching
    methods and their expected usefulness for social media analytics.
author:
- first_name: Andrey
  full_name: Chinnov, Andrey
  last_name: Chinnov
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Christian
  full_name: Meske, Christian
  last_name: Meske
- first_name: Stefan
  full_name: Stieglitz, Stefan
  last_name: Stieglitz
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Chinnov A, Kerschke P, Meske C, Stieglitz S, Trautmann H. An Overview of Topic
    Discovery in Twitter Communication through Social Media Analytics. In: <i>Proceedings
    of the 20$^th$ Americas Conference on Information Systems (AMCIS ’15)</i>. ; 2015:1–10.'
  apa: Chinnov, A., Kerschke, P., Meske, C., Stieglitz, S., &#38; Trautmann, H. (2015).
    An Overview of Topic Discovery in Twitter Communication through Social Media Analytics.
    <i>Proceedings of the 20$^th$ Americas Conference on Information Systems (AMCIS
    ’15)</i>, 1–10.
  bibtex: '@inproceedings{Chinnov_Kerschke_Meske_Stieglitz_Trautmann_2015, place={Puerto
    Rico}, title={An Overview of Topic Discovery in Twitter Communication through
    Social Media Analytics}, booktitle={Proceedings of the 20$^th$ Americas Conference
    on Information Systems (AMCIS ’15)}, author={Chinnov, Andrey and Kerschke, Pascal
    and Meske, Christian and Stieglitz, Stefan and Trautmann, Heike}, year={2015},
    pages={1–10} }'
  chicago: Chinnov, Andrey, Pascal Kerschke, Christian Meske, Stefan Stieglitz, and
    Heike Trautmann. “An Overview of Topic Discovery in Twitter Communication through
    Social Media Analytics.” In <i>Proceedings of the 20$^th$ Americas Conference
    on Information Systems (AMCIS ’15)</i>, 1–10. Puerto Rico, 2015.
  ieee: A. Chinnov, P. Kerschke, C. Meske, S. Stieglitz, and H. Trautmann, “An Overview
    of Topic Discovery in Twitter Communication through Social Media Analytics,” in
    <i>Proceedings of the 20$^th$ Americas Conference on Information Systems (AMCIS
    ’15)</i>, 2015, pp. 1–10.
  mla: Chinnov, Andrey, et al. “An Overview of Topic Discovery in Twitter Communication
    through Social Media Analytics.” <i>Proceedings of the 20$^th$ Americas Conference
    on Information Systems (AMCIS ’15)</i>, 2015, pp. 1–10.
  short: 'A. Chinnov, P. Kerschke, C. Meske, S. Stieglitz, H. Trautmann, in: Proceedings
    of the 20$^th$ Americas Conference on Information Systems (AMCIS ’15), Puerto
    Rico, 2015, pp. 1–10.'
date_created: 2023-08-04T15:20:52Z
date_updated: 2023-10-16T13:41:00Z
department:
- _id: '34'
- _id: '819'
language:
- iso: eng
page: 1–10
place: Puerto Rico
publication: Proceedings of the 20$^th$ Americas Conference on Information Systems
  (AMCIS ’15)
publication_identifier:
  isbn:
  - 978-0-9966831-0-4
status: public
title: An Overview of Topic Discovery in Twitter Communication through Social Media
  Analytics
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '46375'
abstract:
- lang: eng
  text: In single-objective optimization different optimization strategies exist depending
    on the structure and characteristics of the underlying problem. In particular,
    the presence of so-called funnels in multimodal problems offers the possibility
    of applying techniques exploiting the global structure of the function. The recently
    proposed Exploratory Landscape Analysis approach automatically identifies problem
    characteristics based on a moderately small initial sample of the objective function
    and proved to be effective for algorithm selection problems in continuous black-box
    optimization. In this paper, specific features for detecting funnel structures
    are introduced and combined with the existing ones in order to classify optimization
    problems regarding the funnel property. The effectiveness of the approach is shown
    by experiments on specifically generated test instances and validation experiments
    on standard benchmark problems.
author:
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Mike
  full_name: Preuss, Mike
  last_name: Preuss
- first_name: Simon
  full_name: Wessing, Simon
  last_name: Wessing
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Kerschke P, Preuss M, Wessing S, Trautmann H. Detecting Funnel Structures
    by Means of Exploratory Landscape Analysis. In: Silva S, ed. <i>Proceedings of
    the Genetic and Evolutionary Computation Conference (GECCO ’15)</i>. ACM; 2015:265–272.
    doi:<a href="https://doi.org/10.1145/2739480.2754642">10.1145/2739480.2754642</a>'
  apa: Kerschke, P., Preuss, M., Wessing, S., &#38; Trautmann, H. (2015). Detecting
    Funnel Structures by Means of Exploratory Landscape Analysis. In S. Silva (Ed.),
    <i>Proceedings of the Genetic and Evolutionary Computation Conference (GECCO ’15)</i>
    (pp. 265–272). ACM. <a href="https://doi.org/10.1145/2739480.2754642">https://doi.org/10.1145/2739480.2754642</a>
  bibtex: '@inproceedings{Kerschke_Preuss_Wessing_Trautmann_2015, place={New York,
    NY, USA}, title={Detecting Funnel Structures by Means of Exploratory Landscape
    Analysis}, DOI={<a href="https://doi.org/10.1145/2739480.2754642">10.1145/2739480.2754642</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference
    (GECCO ’15)}, publisher={ACM}, author={Kerschke, Pascal and Preuss, Mike and Wessing,
    Simon and Trautmann, Heike}, editor={Silva, Sara}, year={2015}, pages={265–272}
    }'
  chicago: 'Kerschke, Pascal, Mike Preuss, Simon Wessing, and Heike Trautmann. “Detecting
    Funnel Structures by Means of Exploratory Landscape Analysis.” In <i>Proceedings
    of the Genetic and Evolutionary Computation Conference (GECCO ’15)</i>, edited
    by Sara Silva, 265–272. New York, NY, USA: ACM, 2015. <a href="https://doi.org/10.1145/2739480.2754642">https://doi.org/10.1145/2739480.2754642</a>.'
  ieee: 'P. Kerschke, M. Preuss, S. Wessing, and H. Trautmann, “Detecting Funnel Structures
    by Means of Exploratory Landscape Analysis,” in <i>Proceedings of the Genetic
    and Evolutionary Computation Conference (GECCO ’15)</i>, 2015, pp. 265–272, doi:
    <a href="https://doi.org/10.1145/2739480.2754642">10.1145/2739480.2754642</a>.'
  mla: Kerschke, Pascal, et al. “Detecting Funnel Structures by Means of Exploratory
    Landscape Analysis.” <i>Proceedings of the Genetic and Evolutionary Computation
    Conference (GECCO ’15)</i>, edited by Sara Silva, ACM, 2015, pp. 265–272, doi:<a
    href="https://doi.org/10.1145/2739480.2754642">10.1145/2739480.2754642</a>.
  short: 'P. Kerschke, M. Preuss, S. Wessing, H. Trautmann, in: S. Silva (Ed.), Proceedings
    of the Genetic and Evolutionary Computation Conference (GECCO ’15), ACM, New York,
    NY, USA, 2015, pp. 265–272.'
date_created: 2023-08-04T15:22:39Z
date_updated: 2023-10-16T13:41:38Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2739480.2754642
editor:
- first_name: Sara
  full_name: Silva, Sara
  last_name: Silva
language:
- iso: eng
page: 265–272
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO
  ’15)
publication_identifier:
  isbn:
  - 978-1-4503-3472-3
publisher: ACM
status: public
title: Detecting Funnel Structures by Means of Exploratory Landscape Analysis
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '46376'
abstract:
- lang: eng
  text: We investigate per-instance algorithm selection techniques for solving the
    Travelling Salesman Problem (TSP), based on the two state-of-the-art inexact TSP
    solvers, LKH and EAX. Our comprehensive experiments demonstrate that the solvers
    exhibit complementary performance across a diverse set of instances, and the potential
    for improving the state of the art by selecting between them is significant. Using
    TSP features from the literature as well as a set of novel features, we show that
    we can capitalise on this potential by building an efficient selector that achieves
    significant performance improvements in practice. Our selectors represent a significant
    improvement in the state-of-the-art in inexact TSP solving, and hence in the ability
    to find optimal solutions (without proof of optimality) for challenging TSP instances
    in practice.
author:
- first_name: Lars
  full_name: Kotthoff, Lars
  last_name: Kotthoff
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Holger
  full_name: Hoos, Holger
  last_name: Hoos
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Kotthoff L, Kerschke P, Hoos H, Trautmann H. Improving the State of the Art
    in Inexact TSP Solving Using Per-Instance Algorithm Selection. In: Dhaenens C,
    Jourdan L, Marmion M-E, eds. <i>Learning and Intelligent Optimization</i>. Springer
    International Publishing; 2015:202–217.'
  apa: Kotthoff, L., Kerschke, P., Hoos, H., &#38; Trautmann, H. (2015). Improving
    the State of the Art in Inexact TSP Solving Using Per-Instance Algorithm Selection.
    In C. Dhaenens, L. Jourdan, &#38; M.-E. Marmion (Eds.), <i>Learning and Intelligent
    Optimization</i> (pp. 202–217). Springer International Publishing.
  bibtex: '@inproceedings{Kotthoff_Kerschke_Hoos_Trautmann_2015, place={Cham}, title={Improving
    the State of the Art in Inexact TSP Solving Using Per-Instance Algorithm Selection},
    booktitle={Learning and Intelligent Optimization}, publisher={Springer International
    Publishing}, author={Kotthoff, Lars and Kerschke, Pascal and Hoos, Holger and
    Trautmann, Heike}, editor={Dhaenens, Clarisse and Jourdan, Laetitia and Marmion,
    Marie-Eléonore}, year={2015}, pages={202–217} }'
  chicago: 'Kotthoff, Lars, Pascal Kerschke, Holger Hoos, and Heike Trautmann. “Improving
    the State of the Art in Inexact TSP Solving Using Per-Instance Algorithm Selection.”
    In <i>Learning and Intelligent Optimization</i>, edited by Clarisse Dhaenens,
    Laetitia Jourdan, and Marie-Eléonore Marmion, 202–217. Cham: Springer International
    Publishing, 2015.'
  ieee: L. Kotthoff, P. Kerschke, H. Hoos, and H. Trautmann, “Improving the State
    of the Art in Inexact TSP Solving Using Per-Instance Algorithm Selection,” in
    <i>Learning and Intelligent Optimization</i>, 2015, pp. 202–217.
  mla: Kotthoff, Lars, et al. “Improving the State of the Art in Inexact TSP Solving
    Using Per-Instance Algorithm Selection.” <i>Learning and Intelligent Optimization</i>,
    edited by Clarisse Dhaenens et al., Springer International Publishing, 2015, pp.
    202–217.
  short: 'L. Kotthoff, P. Kerschke, H. Hoos, H. Trautmann, in: C. Dhaenens, L. Jourdan,
    M.-E. Marmion (Eds.), Learning and Intelligent Optimization, Springer International
    Publishing, Cham, 2015, pp. 202–217.'
date_created: 2023-08-04T15:24:20Z
date_updated: 2023-10-16T13:41:54Z
department:
- _id: '34'
- _id: '819'
editor:
- first_name: Clarisse
  full_name: Dhaenens, Clarisse
  last_name: Dhaenens
- first_name: Laetitia
  full_name: Jourdan, Laetitia
  last_name: Jourdan
- first_name: Marie-Eléonore
  full_name: Marmion, Marie-Eléonore
  last_name: Marmion
language:
- iso: eng
page: 202–217
place: Cham
publication: Learning and Intelligent Optimization
publication_identifier:
  isbn:
  - 978-3-319-19084-6
publisher: Springer International Publishing
status: public
title: Improving the State of the Art in Inexact TSP Solving Using Per-Instance Algorithm
  Selection
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '46379'
abstract:
- lang: eng
  text: In multiobjective optimization, set-based performance indicators are commonly
    used to assess the quality of a Pareto front approximation. Based on the scalarization
    obtained by these indicators, a performance comparison of multiobjective optimization
    algorithms becomes possible. The R2 and the Hypervolume (HV) indicator represent
    two recommended approaches which have shown a correlated behavior in recent empirical
    studies. Whereas the HV indicator has been comprehensively analyzed in the last
    years, almost no studies on the R2 indicator exist. In this extended version of
    our previous conference paper, we thus perform a comprehensive investigation of
    the properties of the R2 indicator in a theoretical and empirical way. The influence
    of the number and distribution of the weight vectors on the optimal distribution
    of µ solutions is analyzed. Based on a comparative analysis, specific characteristics
    and differences of the R2 and HV indicator are presented. Furthermore, the R2
    indicator is integrated into an indicator-based steady-state evolutionary multiobjective
    optimization algorithm (EMOA). It is shown that the so-called R2-EMOA can accurately
    approximate the optimal distribution of µ solutions regarding R2.
author:
- first_name: D
  full_name: Brockhoff, D
  last_name: Brockhoff
- first_name: T
  full_name: Wagner, T
  last_name: Wagner
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: Brockhoff D, Wagner T, Trautmann H. R2 Indicator Based Multiobjective Search.
    <i>Evolutionary Computation Journal</i>. 2015;23(3):369–395. doi:<a href="https://doi.org/10.1162/EVCO_a_00135">10.1162/EVCO_a_00135</a>
  apa: Brockhoff, D., Wagner, T., &#38; Trautmann, H. (2015). R2 Indicator Based Multiobjective
    Search. <i>Evolutionary Computation Journal</i>, <i>23</i>(3), 369–395. <a href="https://doi.org/10.1162/EVCO_a_00135">https://doi.org/10.1162/EVCO_a_00135</a>
  bibtex: '@article{Brockhoff_Wagner_Trautmann_2015, title={R2 Indicator Based Multiobjective
    Search}, volume={23}, DOI={<a href="https://doi.org/10.1162/EVCO_a_00135">10.1162/EVCO_a_00135</a>},
    number={3}, journal={Evolutionary Computation Journal}, author={Brockhoff, D and
    Wagner, T and Trautmann, Heike}, year={2015}, pages={369–395} }'
  chicago: 'Brockhoff, D, T Wagner, and Heike Trautmann. “R2 Indicator Based Multiobjective
    Search.” <i>Evolutionary Computation Journal</i> 23, no. 3 (2015): 369–395. <a
    href="https://doi.org/10.1162/EVCO_a_00135">https://doi.org/10.1162/EVCO_a_00135</a>.'
  ieee: 'D. Brockhoff, T. Wagner, and H. Trautmann, “R2 Indicator Based Multiobjective
    Search,” <i>Evolutionary Computation Journal</i>, vol. 23, no. 3, pp. 369–395,
    2015, doi: <a href="https://doi.org/10.1162/EVCO_a_00135">10.1162/EVCO_a_00135</a>.'
  mla: Brockhoff, D., et al. “R2 Indicator Based Multiobjective Search.” <i>Evolutionary
    Computation Journal</i>, vol. 23, no. 3, 2015, pp. 369–395, doi:<a href="https://doi.org/10.1162/EVCO_a_00135">10.1162/EVCO_a_00135</a>.
  short: D. Brockhoff, T. Wagner, H. Trautmann, Evolutionary Computation Journal 23
    (2015) 369–395.
date_created: 2023-08-04T15:28:25Z
date_updated: 2023-10-16T13:42:47Z
department:
- _id: '34'
- _id: '819'
doi: 10.1162/EVCO_a_00135
intvolume: '        23'
issue: '3'
language:
- iso: eng
page: 369–395
publication: Evolutionary Computation Journal
status: public
title: R2 Indicator Based Multiobjective Search
type: journal_article
user_id: '15504'
volume: 23
year: '2015'
...
---
_id: '46374'
abstract:
- lang: eng
  text: "We consider a routing problem for a single vehicle serving customer Locations
    in the course of time. A subset of these customers must necessarily be served,
    while the complement of this subset contains dynamic customers which request for
    service over time, and which do not necessarily need to be served. The decision
    maker’s conflicting goals are serving as many customers as possible as well as
    minimizing total travel distance. We solve this bi-objective Problem with an evolutionary
    multi-objective algorithm in order to provide an a-posteriori evaluation tool
    for enabling decision makers to assess the single objective solution strategies
    that they actually use in real-time. We present the modifications to be applied
    to the evolutionary multi-objective algorithm NSGA2 in order to solve the routing
    problem, we describe a number of real-time single-objective solution strategies,
    and we finally use the gained efficient trade-off solutions of NSGA2 to exemplarily
    evaluate the real-time strategies. Our results show that the evolutionary multi-objective
    approach is well-suited to generate benchmarks for assessing dynamic heuristic
    strategies. Our findings point into future directions for designing dynamic multi-objective
    approaches for the vehicle routing problem with time windows.\r\n"
author:
- first_name: C
  full_name: Grimme, C
  last_name: Grimme
- first_name: S
  full_name: Meisel, S
  last_name: Meisel
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: M
  full_name: Wölck, M
  last_name: Wölck
citation:
  ama: 'Grimme C, Meisel S, Trautmann H, Rudolph G, Wölck M. Multi-Objective Analysis
    of Approaches to Dynamic Routing Of a Vehicle. In: <i>Proceedings of the European
    Conference On Information Systems</i>. ; 2015.'
  apa: Grimme, C., Meisel, S., Trautmann, H., Rudolph, G., &#38; Wölck, M. (2015).
    Multi-Objective Analysis of Approaches to Dynamic Routing Of a Vehicle. <i>Proceedings
    of the European Conference On Information Systems</i>.
  bibtex: '@inproceedings{Grimme_Meisel_Trautmann_Rudolph_Wölck_2015, place={Münster,
    Germany}, title={Multi-Objective Analysis of Approaches to Dynamic Routing Of
    a Vehicle}, booktitle={Proceedings of the European Conference On Information Systems},
    author={Grimme, C and Meisel, S and Trautmann, Heike and Rudolph, G and Wölck,
    M}, year={2015} }'
  chicago: Grimme, C, S Meisel, Heike Trautmann, G Rudolph, and M Wölck. “Multi-Objective
    Analysis of Approaches to Dynamic Routing Of a Vehicle.” In <i>Proceedings of
    the European Conference On Information Systems</i>. Münster, Germany, 2015.
  ieee: C. Grimme, S. Meisel, H. Trautmann, G. Rudolph, and M. Wölck, “Multi-Objective
    Analysis of Approaches to Dynamic Routing Of a Vehicle,” 2015.
  mla: Grimme, C., et al. “Multi-Objective Analysis of Approaches to Dynamic Routing
    Of a Vehicle.” <i>Proceedings of the European Conference On Information Systems</i>,
    2015.
  short: 'C. Grimme, S. Meisel, H. Trautmann, G. Rudolph, M. Wölck, in: Proceedings
    of the European Conference On Information Systems, Münster, Germany, 2015.'
date_created: 2023-08-04T15:21:44Z
date_updated: 2023-10-16T13:41:16Z
department:
- _id: '34'
- _id: '819'
language:
- iso: eng
place: Münster, Germany
publication: Proceedings of the European Conference On Information Systems
status: public
title: Multi-Objective Analysis of Approaches to Dynamic Routing Of a Vehicle
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '46380'
abstract:
- lang: eng
  text: 'We present methods to answer two basic questions that arise when benchmarking
    optimization algorithms. The first one is: which algorithm is the "best" one?
    and the second one is: which algorithm should I use for my real-world problem?
    Both are connected and neither is easy to answer. We present a theoretical framework
    for designing and analyzing the raw data of such benchmark experiments. This represents
    a first step in answering the aforementioned questions. The 2009 and 2010 BBOB
    benchmark results are analyzed by means of this framework and we derive insight
    regarding the answers to the two questions. Furthermore, we discuss how to properly
    aggregate rankings from algorithm evaluations on individual problems into a consensus,
    its theoretical background and which common pitfalls should be avoided. Finally,
    we address the grouping of test problems into sets with similar optimizer rankings
    and investigate whether these are reflected by already proposed test problem characteristics,
    finding that this is not always the case.'
author:
- first_name: O
  full_name: Mersmann, O
  last_name: Mersmann
- first_name: M
  full_name: Preuss, M
  last_name: Preuss
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: B
  full_name: Bischl, B
  last_name: Bischl
- first_name: C
  full_name: Weihs, C
  last_name: Weihs
citation:
  ama: Mersmann O, Preuss M, Trautmann H, Bischl B, Weihs C. Analyzing the BBOB Results
    by Means of Benchmarking Concepts. <i>Evolutionary Computation Journal</i>. 2015;23(1):161–185.
  apa: Mersmann, O., Preuss, M., Trautmann, H., Bischl, B., &#38; Weihs, C. (2015).
    Analyzing the BBOB Results by Means of Benchmarking Concepts. <i>Evolutionary
    Computation Journal</i>, <i>23</i>(1), 161–185.
  bibtex: '@article{Mersmann_Preuss_Trautmann_Bischl_Weihs_2015, title={Analyzing
    the BBOB Results by Means of Benchmarking Concepts}, volume={23}, number={1},
    journal={Evolutionary Computation Journal}, author={Mersmann, O and Preuss, M
    and Trautmann, Heike and Bischl, B and Weihs, C}, year={2015}, pages={161–185}
    }'
  chicago: 'Mersmann, O, M Preuss, Heike Trautmann, B Bischl, and C Weihs. “Analyzing
    the BBOB Results by Means of Benchmarking Concepts.” <i>Evolutionary Computation
    Journal</i> 23, no. 1 (2015): 161–185.'
  ieee: O. Mersmann, M. Preuss, H. Trautmann, B. Bischl, and C. Weihs, “Analyzing
    the BBOB Results by Means of Benchmarking Concepts,” <i>Evolutionary Computation
    Journal</i>, vol. 23, no. 1, pp. 161–185, 2015.
  mla: Mersmann, O., et al. “Analyzing the BBOB Results by Means of Benchmarking Concepts.”
    <i>Evolutionary Computation Journal</i>, vol. 23, no. 1, 2015, pp. 161–185.
  short: O. Mersmann, M. Preuss, H. Trautmann, B. Bischl, C. Weihs, Evolutionary Computation
    Journal 23 (2015) 161–185.
date_created: 2023-08-04T15:30:11Z
date_updated: 2023-10-16T13:43:06Z
department:
- _id: '34'
- _id: '819'
intvolume: '        23'
issue: '1'
language:
- iso: eng
page: 161–185
publication: Evolutionary Computation Journal
status: public
title: Analyzing the BBOB Results by Means of Benchmarking Concepts
type: journal_article
user_id: '15504'
volume: 23
year: '2015'
...
---
_id: '46377'
abstract:
- lang: eng
  text: 'We evaluate the performance of a multi-objective evolutionary algorithm on
    a class of dynamic routing problems with a single vehicle. In particular we focus
    on relating algorithmic performance to the most prominent characteristics of problem
    instances. The routing problem considers two types of customers: mandatory customers
    must be visited whereas optional customers do not necessarily have to be visited.
    Moreover, mandatory customers are known prior to the start of the tour whereas
    optional customers request for service at later points in time with the vehicle
    already being on its way. The multi-objective optimization problem then results
    as maximizing the number of visited customers while simultaneously minimizing
    total travel time. As an a-posteriori evaluation tool, the evolutionary algorithm
    aims at approximating the related Pareto set for specifically designed benchmarking
    instances differing in terms of number of customers, geographical layout, fraction
    of mandatory customers, and request times of optional customers. Conceptional
    and experimental comparisons to online heuristic procedures are provided.'
author:
- first_name: Stephan
  full_name: Meisel, Stephan
  last_name: Meisel
- first_name: Christian
  full_name: Grimme, Christian
  last_name: Grimme
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Martin
  full_name: Wölck, Martin
  last_name: Wölck
- first_name: Guenter
  full_name: Rudolph, Guenter
  last_name: Rudolph
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Meisel S, Grimme C, Bossek J, Wölck M, Rudolph G, Trautmann H. Evaluation
    of a Multi-Objective EA on Benchmark Instances for Dynamic Routing of a Vehicle.
    In: <i>Proceedings of the Genetic and Evolutionary Computation Conference (GECCO
    ’15)</i>. ; 2015:425–432. doi:<a href="https://doi.org/10.1145/2739480.2754705">10.1145/2739480.2754705</a>'
  apa: Meisel, S., Grimme, C., Bossek, J., Wölck, M., Rudolph, G., &#38; Trautmann,
    H. (2015). Evaluation of a Multi-Objective EA on Benchmark Instances for Dynamic
    Routing of a Vehicle. <i>Proceedings of the Genetic and Evolutionary Computation
    Conference (GECCO ’15)</i>, 425–432. <a href="https://doi.org/10.1145/2739480.2754705">https://doi.org/10.1145/2739480.2754705</a>
  bibtex: '@inproceedings{Meisel_Grimme_Bossek_Wölck_Rudolph_Trautmann_2015, place={Madrid,
    Spain}, title={Evaluation of a Multi-Objective EA on Benchmark Instances for Dynamic
    Routing of a Vehicle}, DOI={<a href="https://doi.org/10.1145/2739480.2754705">10.1145/2739480.2754705</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference
    (GECCO ’15)}, author={Meisel, Stephan and Grimme, Christian and Bossek, Jakob
    and Wölck, Martin and Rudolph, Guenter and Trautmann, Heike}, year={2015}, pages={425–432}
    }'
  chicago: Meisel, Stephan, Christian Grimme, Jakob Bossek, Martin Wölck, Guenter
    Rudolph, and Heike Trautmann. “Evaluation of a Multi-Objective EA on Benchmark
    Instances for Dynamic Routing of a Vehicle.” In <i>Proceedings of the Genetic
    and Evolutionary Computation Conference (GECCO ’15)</i>, 425–432. Madrid, Spain,
    2015. <a href="https://doi.org/10.1145/2739480.2754705">https://doi.org/10.1145/2739480.2754705</a>.
  ieee: 'S. Meisel, C. Grimme, J. Bossek, M. Wölck, G. Rudolph, and H. Trautmann,
    “Evaluation of a Multi-Objective EA on Benchmark Instances for Dynamic Routing
    of a Vehicle,” in <i>Proceedings of the Genetic and Evolutionary Computation Conference
    (GECCO ’15)</i>, 2015, pp. 425–432, doi: <a href="https://doi.org/10.1145/2739480.2754705">10.1145/2739480.2754705</a>.'
  mla: Meisel, Stephan, et al. “Evaluation of a Multi-Objective EA on Benchmark Instances
    for Dynamic Routing of a Vehicle.” <i>Proceedings of the Genetic and Evolutionary
    Computation Conference (GECCO ’15)</i>, 2015, pp. 425–432, doi:<a href="https://doi.org/10.1145/2739480.2754705">10.1145/2739480.2754705</a>.
  short: 'S. Meisel, C. Grimme, J. Bossek, M. Wölck, G. Rudolph, H. Trautmann, in:
    Proceedings of the Genetic and Evolutionary Computation Conference (GECCO ’15),
    Madrid, Spain, 2015, pp. 425–432.'
date_created: 2023-08-04T15:24:41Z
date_updated: 2024-06-10T11:57:57Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2739480.2754705
language:
- iso: eng
page: 425–432
place: Madrid, Spain
publication: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO
  ’15)
publication_identifier:
  isbn:
  - 978-1-4503-3472-3
status: public
title: Evaluation of a Multi-Objective EA on Benchmark Instances for Dynamic Routing
  of a Vehicle
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '46381'
abstract:
- lang: eng
  text: Exploratory Landscape Analysis is an effective and sophisticated approach
    to characterize the properties of continuous optimization problems. The overall
    aim is to exploit this knowledge to give recommendations of the individually best
    suited algorithm for unseen optimization problems. Recent research revealed a
    high potential of this methodology in this respect based on a set of well-defined,
    computable features which only requires a quite small sample of function evaluations.
    In this paper, new features based on the cell mapping concept are introduced and
    shown to improve the existing feature set in terms of predicting expert-designed
    high-level properties, such as the degree of multimodality or the global structure,
    for 2-dimensional single objective optimization problems.
author:
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Mike
  full_name: Preuss, Mike
  last_name: Preuss
- first_name: Carlos
  full_name: Hernández, Carlos
  last_name: Hernández
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Jian-Qiao
  full_name: Sun, Jian-Qiao
  last_name: Sun
- first_name: Christian
  full_name: Grimme, Christian
  last_name: Grimme
- first_name: Günter
  full_name: Rudolph, Günter
  last_name: Rudolph
- first_name: Bernd
  full_name: Bischl, Bernd
  last_name: Bischl
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Kerschke P, Preuss M, Hernández C, et al. Cell Mapping Techniques for Exploratory
    Landscape Analysis. In: Tantar A-A, Tantar E, Sun J-Q, et al., eds. <i>EVOLVE
    — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
    V</i>. Vol 288. Advances in Intelligent Systems and Computing. Springer International
    Publishing; 2014:115–131. doi:<a href="https://doi.org/10.1007/978-3-319-07494-8_9">10.1007/978-3-319-07494-8_9</a>'
  apa: Kerschke, P., Preuss, M., Hernández, C., Schütze, O., Sun, J.-Q., Grimme, C.,
    Rudolph, G., Bischl, B., &#38; Trautmann, H. (2014). Cell Mapping Techniques for
    Exploratory Landscape Analysis. In A.-A. Tantar, E. Tantar, J.-Q. Sun, W. Zhang,
    Q. Ding, O. Schütze, M. T. M. Emmerich, P. Legrand, M. P. Del, &#38; C. C. A.
    Coello (Eds.), <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics,
    and Evolutionary Computation V</i> (Vol. 288, pp. 115–131). Springer International
    Publishing. <a href="https://doi.org/10.1007/978-3-319-07494-8_9">https://doi.org/10.1007/978-3-319-07494-8_9</a>
  bibtex: '@inbook{Kerschke_Preuss_Hernández_Schütze_Sun_Grimme_Rudolph_Bischl_Trautmann_2014,
    place={Cham}, series={Advances in Intelligent Systems and Computing}, title={Cell
    Mapping Techniques for Exploratory Landscape Analysis}, volume={288}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-07494-8_9">10.1007/978-3-319-07494-8_9</a>},
    booktitle={EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation V}, publisher={Springer International Publishing}, author={Kerschke,
    Pascal and Preuss, Mike and Hernández, Carlos and Schütze, Oliver and Sun, Jian-Qiao
    and Grimme, Christian and Rudolph, Günter and Bischl, Bernd and Trautmann, Heike},
    editor={Tantar, Alexandru-Adrian and Tantar, Emilia and Sun, Jian-Qiao and Zhang,
    Wei and Ding, Qian and Schütze, Oliver and Emmerich, Michael T M and Legrand,
    Pierrick and Del, Moral Pierre and Coello, Coello Carlos A}, year={2014}, pages={115–131},
    collection={Advances in Intelligent Systems and Computing} }'
  chicago: 'Kerschke, Pascal, Mike Preuss, Carlos Hernández, Oliver Schütze, Jian-Qiao
    Sun, Christian Grimme, Günter Rudolph, Bernd Bischl, and Heike Trautmann. “Cell
    Mapping Techniques for Exploratory Landscape Analysis.” In <i>EVOLVE — A Bridge
    between Probability, Set Oriented Numerics, and Evolutionary Computation V</i>,
    edited by Alexandru-Adrian Tantar, Emilia Tantar, Jian-Qiao Sun, Wei Zhang, Qian
    Ding, Oliver Schütze, Michael T M Emmerich, Pierrick Legrand, Moral Pierre Del,
    and Coello Carlos A Coello, 288:115–131. Advances in Intelligent Systems and Computing.
    Cham: Springer International Publishing, 2014. <a href="https://doi.org/10.1007/978-3-319-07494-8_9">https://doi.org/10.1007/978-3-319-07494-8_9</a>.'
  ieee: 'P. Kerschke <i>et al.</i>, “Cell Mapping Techniques for Exploratory Landscape
    Analysis,” in <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics,
    and Evolutionary Computation V</i>, vol. 288, A.-A. Tantar, E. Tantar, J.-Q. Sun,
    W. Zhang, Q. Ding, O. Schütze, M. T. M. Emmerich, P. Legrand, M. P. Del, and C.
    C. A. Coello, Eds. Cham: Springer International Publishing, 2014, pp. 115–131.'
  mla: Kerschke, Pascal, et al. “Cell Mapping Techniques for Exploratory Landscape
    Analysis.” <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics, and
    Evolutionary Computation V</i>, edited by Alexandru-Adrian Tantar et al., vol.
    288, Springer International Publishing, 2014, pp. 115–131, doi:<a href="https://doi.org/10.1007/978-3-319-07494-8_9">10.1007/978-3-319-07494-8_9</a>.
  short: 'P. Kerschke, M. Preuss, C. Hernández, O. Schütze, J.-Q. Sun, C. Grimme,
    G. Rudolph, B. Bischl, H. Trautmann, in: A.-A. Tantar, E. Tantar, J.-Q. Sun, W.
    Zhang, Q. Ding, O. Schütze, M.T.M. Emmerich, P. Legrand, M.P. Del, C.C.A. Coello
    (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation V, Springer International Publishing, Cham, 2014, pp. 115–131.'
date_created: 2023-08-04T15:31:52Z
date_updated: 2023-10-16T13:43:42Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-07494-8_9
editor:
- first_name: Alexandru-Adrian
  full_name: Tantar, Alexandru-Adrian
  last_name: Tantar
- first_name: Emilia
  full_name: Tantar, Emilia
  last_name: Tantar
- first_name: Jian-Qiao
  full_name: Sun, Jian-Qiao
  last_name: Sun
- first_name: Wei
  full_name: Zhang, Wei
  last_name: Zhang
- first_name: Qian
  full_name: Ding, Qian
  last_name: Ding
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Michael T M
  full_name: Emmerich, Michael T M
  last_name: Emmerich
- first_name: Pierrick
  full_name: Legrand, Pierrick
  last_name: Legrand
- first_name: Moral Pierre
  full_name: Del, Moral Pierre
  last_name: Del
- first_name: Coello Carlos A
  full_name: Coello, Coello Carlos A
  last_name: Coello
intvolume: '       288'
language:
- iso: eng
page: 115–131
place: Cham
publication: EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
  Computation V
publication_identifier:
  isbn:
  - 978-3-319-07493-1
publisher: Springer International Publishing
series_title: Advances in Intelligent Systems and Computing
status: public
title: Cell Mapping Techniques for Exploratory Landscape Analysis
type: book_chapter
user_id: '15504'
volume: 288
year: '2014'
...
---
_id: '46382'
abstract:
- lang: eng
  text: The incorporation of expert knowledge into multiobjective optimization is
    an important issue which in this paper is reflected in terms of an aspiration
    set consisting of multiple reference points. The behaviour of the recently introduced
    evolutionary multiobjective algorithm AS-EMOA is analysed in detail and comparatively
    studied for bi-objective optimization problems w.r.t. R-NSGA2 and a respective
    variant. It will be shown that the averaged Hausdorff distance, integrated into
    AS-EMOA, is an efficient means to accurately approximate the desired aspiration
    set.
author:
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: C
  full_name: Grimme, C
  last_name: Grimme
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Rudolph G, Schütze O, Grimme C, Trautmann H. A Multiobjective Evolutionary
    Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets. In: Tantar
    A, Tantar E, Sun J, et al., eds. <i>EVOLVE — A Bridge between Probability, Set
    Oriented Numerics, and Evolutionary Computation V</i>. Vol 288. Advances in Intelligent
    Systems and Computing. Springer International Publishing; 2014:261–273. doi:<a
    href="https://doi.org/10.1007/978-3-319-07494-8_18">10.1007/978-3-319-07494-8_18</a>'
  apa: Rudolph, G., Schütze, O., Grimme, C., &#38; Trautmann, H. (2014). A Multiobjective
    Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets.
    In A. Tantar, E. Tantar, J. Sun, W. Zhang, Q. Ding, O. Schütze, M. Emmerich, P.
    Legrand, M. P. Del, &#38; C. C. Coello (Eds.), <i>EVOLVE — A Bridge between Probability,
    Set Oriented Numerics, and Evolutionary Computation V</i> (Vol. 288, pp. 261–273).
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-07494-8_18">https://doi.org/10.1007/978-3-319-07494-8_18</a>
  bibtex: '@inbook{Rudolph_Schütze_Grimme_Trautmann_2014, series={Advances in Intelligent
    Systems and Computing}, title={A Multiobjective Evolutionary Algorithm Guided
    by Averaged Hausdorff Distance to Aspiration Sets}, volume={288}, DOI={<a href="https://doi.org/10.1007/978-3-319-07494-8_18">10.1007/978-3-319-07494-8_18</a>},
    booktitle={EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation V}, publisher={Springer International Publishing}, author={Rudolph,
    G and Schütze, O and Grimme, C and Trautmann, Heike}, editor={Tantar, A and Tantar,
    E and Sun, J and Zhang, W and Ding, Q and Schütze, O and Emmerich, M and Legrand,
    P and Del, Moral P and Coello, Coello CA}, year={2014}, pages={261–273}, collection={Advances
    in Intelligent Systems and Computing} }'
  chicago: Rudolph, G, O Schütze, C Grimme, and Heike Trautmann. “A Multiobjective
    Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets.”
    In <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation V</i>, edited by A Tantar, E Tantar, J Sun, W Zhang, Q Ding, O Schütze,
    M Emmerich, P Legrand, Moral P Del, and Coello CA Coello, 288:261–273. Advances
    in Intelligent Systems and Computing. Springer International Publishing, 2014.
    <a href="https://doi.org/10.1007/978-3-319-07494-8_18">https://doi.org/10.1007/978-3-319-07494-8_18</a>.
  ieee: G. Rudolph, O. Schütze, C. Grimme, and H. Trautmann, “A Multiobjective Evolutionary
    Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets,” in <i>EVOLVE
    — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
    V</i>, vol. 288, A. Tantar, E. Tantar, J. Sun, W. Zhang, Q. Ding, O. Schütze,
    M. Emmerich, P. Legrand, M. P. Del, and C. C. Coello, Eds. Springer International
    Publishing, 2014, pp. 261–273.
  mla: Rudolph, G., et al. “A Multiobjective Evolutionary Algorithm Guided by Averaged
    Hausdorff Distance to Aspiration Sets.” <i>EVOLVE — A Bridge between Probability,
    Set Oriented Numerics, and Evolutionary Computation V</i>, edited by A Tantar
    et al., vol. 288, Springer International Publishing, 2014, pp. 261–273, doi:<a
    href="https://doi.org/10.1007/978-3-319-07494-8_18">10.1007/978-3-319-07494-8_18</a>.
  short: 'G. Rudolph, O. Schütze, C. Grimme, H. Trautmann, in: A. Tantar, E. Tantar,
    J. Sun, W. Zhang, Q. Ding, O. Schütze, M. Emmerich, P. Legrand, M.P. Del, C.C.
    Coello (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics, and
    Evolutionary Computation V, Springer International Publishing, 2014, pp. 261–273.'
date_created: 2023-08-04T15:33:57Z
date_updated: 2023-10-16T13:43:23Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-07494-8_18
editor:
- first_name: A
  full_name: Tantar, A
  last_name: Tantar
- first_name: E
  full_name: Tantar, E
  last_name: Tantar
- first_name: J
  full_name: Sun, J
  last_name: Sun
- first_name: W
  full_name: Zhang, W
  last_name: Zhang
- first_name: Q
  full_name: Ding, Q
  last_name: Ding
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: M
  full_name: Emmerich, M
  last_name: Emmerich
- first_name: P
  full_name: Legrand, P
  last_name: Legrand
- first_name: Moral P
  full_name: Del, Moral P
  last_name: Del
- first_name: Coello CA
  full_name: Coello, Coello CA
  last_name: Coello
intvolume: '       288'
language:
- iso: eng
page: 261–273
publication: EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
  Computation V
publication_identifier:
  isbn:
  - 978-3-319-07493-1
publisher: Springer International Publishing
series_title: Advances in Intelligent Systems and Computing
status: public
title: A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance
  to Aspiration Sets
type: book_chapter
user_id: '15504'
volume: 288
year: '2014'
...
---
_id: '46383'
abstract:
- lang: eng
  text: We propose an evolutionary multiobjective algorithm that approximates multiple
    reference points (the aspiration set) in a single run using the concept of the
    averaged Hausdorff distance.
author:
- first_name: Günter
  full_name: Rudolph, Günter
  last_name: Rudolph
- first_name: Christian
  full_name: Grimme, Christian
  last_name: Grimme
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Rudolph G, Grimme C, Schütze O, Trautmann H. An Aspiration Set EMOA Based
    on Averaged Hausdorff Distances. In: <i>Proceedings of the Learning and Intelligent
    OptimizatioN Conference (LION 8)</i>. Vol 8426. Lecture Notes in Computer Science.
    Springer; 2014:153–156.'
  apa: Rudolph, G., Grimme, C., Schütze, O., &#38; Trautmann, H. (2014). An Aspiration
    Set EMOA Based on Averaged Hausdorff Distances. <i>Proceedings of the Learning
    and Intelligent OptimizatioN Conference (LION 8)</i>, <i>8426</i>, 153–156.
  bibtex: '@inproceedings{Rudolph_Grimme_Schütze_Trautmann_2014, place={Gainesville,
    Florida, USA}, series={Lecture Notes in Computer Science}, title={An Aspiration
    Set EMOA Based on Averaged Hausdorff Distances}, volume={8426}, booktitle={Proceedings
    of the Learning and Intelligent OptimizatioN Conference (LION 8)}, publisher={Springer},
    author={Rudolph, Günter and Grimme, Christian and Schütze, Oliver and Trautmann,
    Heike}, year={2014}, pages={153–156}, collection={Lecture Notes in Computer Science}
    }'
  chicago: 'Rudolph, Günter, Christian Grimme, Oliver Schütze, and Heike Trautmann.
    “An Aspiration Set EMOA Based on Averaged Hausdorff Distances.” In <i>Proceedings
    of the Learning and Intelligent OptimizatioN Conference (LION 8)</i>, 8426:153–156.
    Lecture Notes in Computer Science. Gainesville, Florida, USA: Springer, 2014.'
  ieee: G. Rudolph, C. Grimme, O. Schütze, and H. Trautmann, “An Aspiration Set EMOA
    Based on Averaged Hausdorff Distances,” in <i>Proceedings of the Learning and
    Intelligent OptimizatioN Conference (LION 8)</i>, 2014, vol. 8426, pp. 153–156.
  mla: Rudolph, Günter, et al. “An Aspiration Set EMOA Based on Averaged Hausdorff
    Distances.” <i>Proceedings of the Learning and Intelligent OptimizatioN Conference
    (LION 8)</i>, vol. 8426, Springer, 2014, pp. 153–156.
  short: 'G. Rudolph, C. Grimme, O. Schütze, H. Trautmann, in: Proceedings of the
    Learning and Intelligent OptimizatioN Conference (LION 8), Springer, Gainesville,
    Florida, USA, 2014, pp. 153–156.'
date_created: 2023-08-04T15:34:44Z
date_updated: 2023-10-16T13:43:59Z
department:
- _id: '34'
- _id: '819'
intvolume: '      8426'
language:
- iso: eng
page: 153–156
place: Gainesville, Florida, USA
publication: Proceedings of the Learning and Intelligent OptimizatioN Conference (LION
  8)
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: An Aspiration Set EMOA Based on Averaged Hausdorff Distances
type: conference
user_id: '15504'
volume: 8426
year: '2014'
...
---
_id: '46384'
abstract:
- lang: eng
  text: Multimodal optimization requires maintenance of a good search space coverage
    and approximation of several optima at the same time. We analyze two constitutive
    optimization algorithms and show that in many cases, a phase transition occurs
    at some point, so that either diversity collapses or optimization stagnates. But
    how to derive suitable stopping criteria for multimodal optimization? Experimental
    results indicate that an algorithm’s population contains sufficient information
    to estimate the point in time when several performance indicators reach their
    optimum. Thus, stopping criteria are formulated based on summary characteristics
    employing objective values and mutation strength.
author:
- first_name: S
  full_name: Wessing, S
  last_name: Wessing
- first_name: M
  full_name: Preuss, M
  last_name: Preuss
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Wessing S, Preuss M, Trautmann H. Stopping Criteria for Multimodal Optimization.
    In: Bartz-Beielstein T, Branke J, Filipic B, Smith J, eds. <i>Proceedings of the
    Parallel Problem Solving from Nature — PPSN XIII</i>. Vol 8672. Lecture Notes
    in Computer Science. Springer; 2014:141–150. doi:<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>'
  apa: Wessing, S., Preuss, M., &#38; Trautmann, H. (2014). Stopping Criteria for
    Multimodal Optimization. In T. Bartz-Beielstein, J. Branke, B. Filipic, &#38;
    J. Smith (Eds.), <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i> (Vol. 8672, pp. 141–150). Springer. <a href="https://doi.org/10.1007/978-3-319-10762-2_14">https://doi.org/10.1007/978-3-319-10762-2_14</a>
  bibtex: '@inproceedings{Wessing_Preuss_Trautmann_2014, place={Ljubljana, Slovenia},
    series={Lecture Notes in Computer Science}, title={Stopping Criteria for Multimodal
    Optimization}, volume={8672}, DOI={<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>},
    booktitle={Proceedings of the Parallel Problem Solving from Nature — PPSN XIII},
    publisher={Springer}, author={Wessing, S and Preuss, M and Trautmann, Heike},
    editor={Bartz-Beielstein, T and Branke, J and Filipic, B and Smith, J}, year={2014},
    pages={141–150}, collection={Lecture Notes in Computer Science} }'
  chicago: 'Wessing, S, M Preuss, and Heike Trautmann. “Stopping Criteria for Multimodal
    Optimization.” In <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i>, edited by T Bartz-Beielstein, J Branke, B Filipic, and J Smith,
    8672:141–150. Lecture Notes in Computer Science. Ljubljana, Slovenia: Springer,
    2014. <a href="https://doi.org/10.1007/978-3-319-10762-2_14">https://doi.org/10.1007/978-3-319-10762-2_14</a>.'
  ieee: 'S. Wessing, M. Preuss, and H. Trautmann, “Stopping Criteria for Multimodal
    Optimization,” in <i>Proceedings of the Parallel Problem Solving from Nature —
    PPSN XIII</i>, 2014, vol. 8672, pp. 141–150, doi: <a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>.'
  mla: Wessing, S., et al. “Stopping Criteria for Multimodal Optimization.” <i>Proceedings
    of the Parallel Problem Solving from Nature — PPSN XIII</i>, edited by T Bartz-Beielstein
    et al., vol. 8672, Springer, 2014, pp. 141–150, doi:<a href="https://doi.org/10.1007/978-3-319-10762-2_14">10.1007/978-3-319-10762-2_14</a>.
  short: 'S. Wessing, M. Preuss, H. Trautmann, in: T. Bartz-Beielstein, J. Branke,
    B. Filipic, J. Smith (Eds.), Proceedings of the Parallel Problem Solving from
    Nature — PPSN XIII, Springer, Ljubljana, Slovenia, 2014, pp. 141–150.'
date_created: 2023-08-04T15:36:01Z
date_updated: 2023-10-16T13:44:15Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-10762-2_14
editor:
- first_name: T
  full_name: Bartz-Beielstein, T
  last_name: Bartz-Beielstein
- first_name: J
  full_name: Branke, J
  last_name: Branke
- first_name: B
  full_name: Filipic, B
  last_name: Filipic
- first_name: J
  full_name: Smith, J
  last_name: Smith
intvolume: '      8672'
language:
- iso: eng
page: 141–150
place: Ljubljana, Slovenia
publication: Proceedings of the Parallel Problem Solving from Nature — PPSN XIII
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Stopping Criteria for Multimodal Optimization
type: conference
user_id: '15504'
volume: 8672
year: '2014'
...
---
_id: '46385'
abstract:
- lang: eng
  text: "In many applications one is faced with the problem that multiple objectives
    have to be optimized at the same time. Since typically the solution set of such
    multi-objective optimization problems forms a manifold which cannot be computed
    analytically, one is in many cases interested in a suitable finite size approximation
    of this set. One widely used approach is to find a representative set that maximizes
    the dominated hypervolume that is defined by the images in objective space of
    these solutions and a given reference point.\r\n\r\nIn this paper, we propose
    a new point-wise iterative search procedure, Hypervolume Directed Search (HVDS),
    that aims to increase the hypervolume of a given point in an archive for bi-objective
    unconstrained optimization problems. We present the HVDS both as a standalone
    algorithm and as a local searcher within a specialized evolutionary algorithm.
    Numerical results confirm the strength of the novel approach."
author:
- first_name: Hernández V
  full_name: Sosa, Hernández V
  last_name: Sosa
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Sosa HV, Schütze O, Rudolph G, Trautmann H. The Directed Search Method for
    Pareto Front Approximations with Maximum Dominated Hypervolume. In: Emmerich M,
    Deutz A, Schuetze O, et al., eds. <i>EVOLVE — A Bridge between Probability, Set
    Oriented Numerics, and Evolutionary Computation IV</i>. Vol 227. Advances in Intelligent
    Systems and Computing. Springer International Publishing; 2013:189–205. doi:<a
    href="https://doi.org/10.1007/978-3-319-01128-8_13">10.1007/978-3-319-01128-8_13</a>'
  apa: Sosa, H. V., Schütze, O., Rudolph, G., &#38; Trautmann, H. (2013). The Directed
    Search Method for Pareto Front Approximations with Maximum Dominated Hypervolume.
    In M. Emmerich, A. Deutz, O. Schuetze, T. Bäck, A. Tantar, P. Moral, P. Legrand,
    P. Bouvry, &#38; C. Coello (Eds.), <i>EVOLVE — A Bridge between Probability, Set
    Oriented Numerics, and Evolutionary Computation IV</i> (Vol. 227, pp. 189–205).
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-01128-8_13">https://doi.org/10.1007/978-3-319-01128-8_13</a>
  bibtex: '@inbook{Sosa_Schütze_Rudolph_Trautmann_2013, series={Advances in Intelligent
    Systems and Computing}, title={The Directed Search Method for Pareto Front Approximations
    with Maximum Dominated Hypervolume}, volume={227}, DOI={<a href="https://doi.org/10.1007/978-3-319-01128-8_13">10.1007/978-3-319-01128-8_13</a>},
    booktitle={EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation IV}, publisher={Springer International Publishing}, author={Sosa,
    Hernández V and Schütze, O and Rudolph, G and Trautmann, Heike}, editor={Emmerich,
    M and Deutz, A and Schuetze, O and Bäck, T and Tantar, A and Moral, PD and Legrand,
    P and Bouvry, P and Coello, CA}, year={2013}, pages={189–205}, collection={Advances
    in Intelligent Systems and Computing} }'
  chicago: Sosa, Hernández V, O Schütze, G Rudolph, and Heike Trautmann. “The Directed
    Search Method for Pareto Front Approximations with Maximum Dominated Hypervolume.”
    In <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation IV</i>, edited by M Emmerich, A Deutz, O Schuetze, T Bäck, A Tantar,
    PD Moral, P Legrand, P Bouvry, and CA Coello, 227:189–205. Advances in Intelligent
    Systems and Computing. Springer International Publishing, 2013. <a href="https://doi.org/10.1007/978-3-319-01128-8_13">https://doi.org/10.1007/978-3-319-01128-8_13</a>.
  ieee: H. V. Sosa, O. Schütze, G. Rudolph, and H. Trautmann, “The Directed Search
    Method for Pareto Front Approximations with Maximum Dominated Hypervolume,” in
    <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation IV</i>, vol. 227, M. Emmerich, A. Deutz, O. Schuetze, T. Bäck, A.
    Tantar, P. Moral, P. Legrand, P. Bouvry, and C. Coello, Eds. Springer International
    Publishing, 2013, pp. 189–205.
  mla: Sosa, Hernández V., et al. “The Directed Search Method for Pareto Front Approximations
    with Maximum Dominated Hypervolume.” <i>EVOLVE — A Bridge between Probability,
    Set Oriented Numerics, and Evolutionary Computation IV</i>, edited by M Emmerich
    et al., vol. 227, Springer International Publishing, 2013, pp. 189–205, doi:<a
    href="https://doi.org/10.1007/978-3-319-01128-8_13">10.1007/978-3-319-01128-8_13</a>.
  short: 'H.V. Sosa, O. Schütze, G. Rudolph, H. Trautmann, in: M. Emmerich, A. Deutz,
    O. Schuetze, T. Bäck, A. Tantar, P. Moral, P. Legrand, P. Bouvry, C. Coello (Eds.),
    EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation IV, Springer International Publishing, 2013, pp. 189–205.'
date_created: 2023-08-04T15:37:00Z
date_updated: 2023-10-16T13:44:50Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-319-01128-8_13
editor:
- first_name: M
  full_name: Emmerich, M
  last_name: Emmerich
- first_name: A
  full_name: Deutz, A
  last_name: Deutz
- first_name: O
  full_name: Schuetze, O
  last_name: Schuetze
- first_name: T
  full_name: Bäck, T
  last_name: Bäck
- first_name: A
  full_name: Tantar, A
  last_name: Tantar
- first_name: PD
  full_name: Moral, PD
  last_name: Moral
- first_name: P
  full_name: Legrand, P
  last_name: Legrand
- first_name: P
  full_name: Bouvry, P
  last_name: Bouvry
- first_name: CA
  full_name: Coello, CA
  last_name: Coello
intvolume: '       227'
language:
- iso: eng
page: 189–205
publication: EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
  Computation IV
publication_identifier:
  isbn:
  - 978-3-319-01127-1
publisher: Springer International Publishing
series_title: Advances in Intelligent Systems and Computing
status: public
title: The Directed Search Method for Pareto Front Approximations with Maximum Dominated
  Hypervolume
type: book_chapter
user_id: '15504'
volume: 227
year: '2013'
...
---
_id: '46386'
abstract:
- lang: eng
  text: The averaged Hausdorff distance Δ p is a performance indicator in multi-objective
    evolutionary optimization which simultaneously takes into account proximity to
    the true Pareto front and uniform spread of solutions. Recently, the multi-objective
    evolutionary algorithm Δ p -EMOA was introduced which successfully generates evenly
    spaced Pareto front approximations for bi-objective problems by integrating an
    external archiving strategy into the SMS-EMOA based on Δ p . In this work a conceptual
    generalization of the Δ p -EMOA for higher objective space dimensions is presented
    and experimentally compared to state-of-the art EMOA as well as specialized EMOA
    variants on three-dimensional optimization problems.
author:
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: C
  full_name: Dominguez-Medina, C
  last_name: Dominguez-Medina
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
citation:
  ama: 'Trautmann H, Rudolph G, Dominguez-Medina C, Schütze O. Finding Evenly Spaced
    Pareto Fronts for Three-Objective Optimization Problems. In: Schütze O, Coello
    CC, Tantar A, et al., eds. <i>EVOLVE — A Bridge between Probability, Set Oriented
    Numerics, and Evolutionary Computation II</i>. Vol 175. Advances in Intelligent
    Systems and Computing. Springer Berlin Heidelberg; 2013:89–105. doi:<a href="https://doi.org/10.1007/978-3-642-31519-0_6">10.1007/978-3-642-31519-0_6</a>'
  apa: Trautmann, H., Rudolph, G., Dominguez-Medina, C., &#38; Schütze, O. (2013).
    Finding Evenly Spaced Pareto Fronts for Three-Objective Optimization Problems.
    In O. Schütze, C. C. Coello, A. Tantar, E. Tantar, P. Bouvry, M. P. Del, &#38;
    P. Legrand (Eds.), <i>EVOLVE — A Bridge between Probability, Set Oriented Numerics,
    and Evolutionary Computation II</i> (Vol. 175, pp. 89–105). Springer Berlin Heidelberg.
    <a href="https://doi.org/10.1007/978-3-642-31519-0_6">https://doi.org/10.1007/978-3-642-31519-0_6</a>
  bibtex: '@inbook{Trautmann_Rudolph_Dominguez-Medina_Schütze_2013, series={Advances
    in Intelligent Systems and Computing}, title={Finding Evenly Spaced Pareto Fronts
    for Three-Objective Optimization Problems}, volume={175}, DOI={<a href="https://doi.org/10.1007/978-3-642-31519-0_6">10.1007/978-3-642-31519-0_6</a>},
    booktitle={EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
    Computation II}, publisher={Springer Berlin Heidelberg}, author={Trautmann, Heike
    and Rudolph, G and Dominguez-Medina, C and Schütze, O}, editor={Schütze, O and
    Coello, Coello CA and Tantar, A and Tantar, E and Bouvry, P and Del, Moral P and
    Legrand, P}, year={2013}, pages={89–105}, collection={Advances in Intelligent
    Systems and Computing} }'
  chicago: Trautmann, Heike, G Rudolph, C Dominguez-Medina, and O Schütze. “Finding
    Evenly Spaced Pareto Fronts for Three-Objective Optimization Problems.” In <i>EVOLVE
    — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
    II</i>, edited by O Schütze, Coello CA Coello, A Tantar, E Tantar, P Bouvry, Moral
    P Del, and P Legrand, 175:89–105. Advances in Intelligent Systems and Computing.
    Springer Berlin Heidelberg, 2013. <a href="https://doi.org/10.1007/978-3-642-31519-0_6">https://doi.org/10.1007/978-3-642-31519-0_6</a>.
  ieee: H. Trautmann, G. Rudolph, C. Dominguez-Medina, and O. Schütze, “Finding Evenly
    Spaced Pareto Fronts for Three-Objective Optimization Problems,” in <i>EVOLVE
    — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
    II</i>, vol. 175, O. Schütze, C. C. Coello, A. Tantar, E. Tantar, P. Bouvry, M.
    P. Del, and P. Legrand, Eds. Springer Berlin Heidelberg, 2013, pp. 89–105.
  mla: Trautmann, Heike, et al. “Finding Evenly Spaced Pareto Fronts for Three-Objective
    Optimization Problems.” <i>EVOLVE — A Bridge between Probability, Set Oriented
    Numerics, and Evolutionary Computation II</i>, edited by O Schütze et al., vol.
    175, Springer Berlin Heidelberg, 2013, pp. 89–105, doi:<a href="https://doi.org/10.1007/978-3-642-31519-0_6">10.1007/978-3-642-31519-0_6</a>.
  short: 'H. Trautmann, G. Rudolph, C. Dominguez-Medina, O. Schütze, in: O. Schütze,
    C.C. Coello, A. Tantar, E. Tantar, P. Bouvry, M.P. Del, P. Legrand (Eds.), EVOLVE
    — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
    II, Springer Berlin Heidelberg, 2013, pp. 89–105.'
date_created: 2023-08-04T15:38:25Z
date_updated: 2023-10-16T13:45:12Z
department:
- _id: '34'
- _id: '819'
doi: 10.1007/978-3-642-31519-0_6
editor:
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: Coello CA
  full_name: Coello, Coello CA
  last_name: Coello
- first_name: A
  full_name: Tantar, A
  last_name: Tantar
- first_name: E
  full_name: Tantar, E
  last_name: Tantar
- first_name: P
  full_name: Bouvry, P
  last_name: Bouvry
- first_name: Moral P
  full_name: Del, Moral P
  last_name: Del
- first_name: P
  full_name: Legrand, P
  last_name: Legrand
intvolume: '       175'
language:
- iso: eng
page: 89–105
publication: EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
  Computation II
publication_identifier:
  isbn:
  - 978-3-642-31518-3
publisher: Springer Berlin Heidelberg
series_title: Advances in Intelligent Systems and Computing
status: public
title: Finding Evenly Spaced Pareto Fronts for Three-Objective Optimization Problems
type: book_chapter
user_id: '15504'
volume: 175
year: '2013'
...
---
_id: '46388'
abstract:
- lang: eng
  text: Understanding the behaviour of well-known algorithms for classical NP-hard
    optimisation problems is still a difficult task. With this paper, we contribute
    to this research direction and carry out a feature based comparison of local search
    and the well-known Christofides approximation algorithm for the Traveling Salesperson
    Problem. We use an evolutionary algorithm approach to construct easy and hard
    instances for the Christofides algorithm, where we measure hardness in terms of
    approximation ratio. Our results point out important features and lead to hard
    and easy instances for this famous algorithm. Furthermore, our cross-comparison
    gives new insights on the complementary benefits of the different approaches.
author:
- first_name: Samadhi
  full_name: Nallaperuma, Samadhi
  last_name: Nallaperuma
- first_name: Markus
  full_name: Wagner, Markus
  last_name: Wagner
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
- first_name: Bernd
  full_name: Bischl, Bernd
  last_name: Bischl
- first_name: Olaf
  full_name: Mersmann, Olaf
  last_name: Mersmann
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Nallaperuma S, Wagner M, Neumann F, Bischl B, Mersmann O, Trautmann H. A Feature-Based
    Comparison of Local Search and the Christofides Algorithm for the Travelling Salesperson
    Problem. In: <i>Proceedings of the Twelfth Workshop on Foundations of Genetic
    Algorithms XII</i>. FOGA XII ’13. Association for Computing Machinery; 2013:147–160.
    doi:<a href="https://doi.org/10.1145/2460239.2460253">10.1145/2460239.2460253</a>'
  apa: Nallaperuma, S., Wagner, M., Neumann, F., Bischl, B., Mersmann, O., &#38; Trautmann,
    H. (2013). A Feature-Based Comparison of Local Search and the Christofides Algorithm
    for the Travelling Salesperson Problem. <i>Proceedings of the Twelfth Workshop
    on Foundations of Genetic Algorithms XII</i>, 147–160. <a href="https://doi.org/10.1145/2460239.2460253">https://doi.org/10.1145/2460239.2460253</a>
  bibtex: '@inproceedings{Nallaperuma_Wagner_Neumann_Bischl_Mersmann_Trautmann_2013,
    place={New York, NY, USA}, series={FOGA XII ’13}, title={A Feature-Based Comparison
    of Local Search and the Christofides Algorithm for the Travelling Salesperson
    Problem}, DOI={<a href="https://doi.org/10.1145/2460239.2460253">10.1145/2460239.2460253</a>},
    booktitle={Proceedings of the Twelfth Workshop on Foundations of Genetic Algorithms
    XII}, publisher={Association for Computing Machinery}, author={Nallaperuma, Samadhi
    and Wagner, Markus and Neumann, Frank and Bischl, Bernd and Mersmann, Olaf and
    Trautmann, Heike}, year={2013}, pages={147–160}, collection={FOGA XII ’13} }'
  chicago: 'Nallaperuma, Samadhi, Markus Wagner, Frank Neumann, Bernd Bischl, Olaf
    Mersmann, and Heike Trautmann. “A Feature-Based Comparison of Local Search and
    the Christofides Algorithm for the Travelling Salesperson Problem.” In <i>Proceedings
    of the Twelfth Workshop on Foundations of Genetic Algorithms XII</i>, 147–160.
    FOGA XII ’13. New York, NY, USA: Association for Computing Machinery, 2013. <a
    href="https://doi.org/10.1145/2460239.2460253">https://doi.org/10.1145/2460239.2460253</a>.'
  ieee: 'S. Nallaperuma, M. Wagner, F. Neumann, B. Bischl, O. Mersmann, and H. Trautmann,
    “A Feature-Based Comparison of Local Search and the Christofides Algorithm for
    the Travelling Salesperson Problem,” in <i>Proceedings of the Twelfth Workshop
    on Foundations of Genetic Algorithms XII</i>, 2013, pp. 147–160, doi: <a href="https://doi.org/10.1145/2460239.2460253">10.1145/2460239.2460253</a>.'
  mla: Nallaperuma, Samadhi, et al. “A Feature-Based Comparison of Local Search and
    the Christofides Algorithm for the Travelling Salesperson Problem.” <i>Proceedings
    of the Twelfth Workshop on Foundations of Genetic Algorithms XII</i>, Association
    for Computing Machinery, 2013, pp. 147–160, doi:<a href="https://doi.org/10.1145/2460239.2460253">10.1145/2460239.2460253</a>.
  short: 'S. Nallaperuma, M. Wagner, F. Neumann, B. Bischl, O. Mersmann, H. Trautmann,
    in: Proceedings of the Twelfth Workshop on Foundations of Genetic Algorithms XII,
    Association for Computing Machinery, New York, NY, USA, 2013, pp. 147–160.'
date_created: 2023-08-04T15:42:03Z
date_updated: 2023-10-16T13:45:53Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2460239.2460253
keyword:
- approximation algorithms
- local search
- traveling salesperson problem
- feature selection
- prediction
- classification
language:
- iso: eng
page: 147–160
place: New York, NY, USA
publication: Proceedings of the Twelfth Workshop on Foundations of Genetic Algorithms
  XII
publication_identifier:
  isbn:
  - '9781450319904'
publisher: Association for Computing Machinery
series_title: FOGA XII ’13
status: public
title: A Feature-Based Comparison of Local Search and the Christofides Algorithm for
  the Travelling Salesperson Problem
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '46390'
abstract:
- lang: eng
  text: In some technical applications like multiobjective online control an evenly
    spaced approximation of the Pareto front is desired. Since standard evolutionary
    multiobjective optimization (EMO) algorithms have not been designed for that kind
    of approximation we propose an archive-based plug-in method that builds an evenly
    spaced approximation using averaged Hausdorff measure between archive and reference
    front. In case of three objectives this reference font is constructed from a triangulated
    approximation of the Pareto front from a previous experiment. The plug-in can
    be deployed in online or offline mode for any kind of EMO algorithm.
author:
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: S
  full_name: Sengupta, S
  last_name: Sengupta
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
citation:
  ama: 'Rudolph G, Trautmann H, Sengupta S, Schütze O. Evenly Spaced Pareto Front
    Approximations for Tricriteria Problems Based on Triangulation. In: Purshouse
    R, Fleming P, Fonseca C, Greco S, Shaw J, eds. <i>Evolutionary Multi-Criterion
    Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings</i>.
    Vol 7811. Lecture Notes in Computer Science. Springer; 2013:443–458. doi:<a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>'
  apa: Rudolph, G., Trautmann, H., Sengupta, S., &#38; Schütze, O. (2013). Evenly
    Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation.
    In R. Purshouse, P. Fleming, C. Fonseca, S. Greco, &#38; J. Shaw (Eds.), <i>Evolutionary
    Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield,
    UK, Proceedings</i> (Vol. 7811, pp. 443–458). Springer. <a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>
  bibtex: '@inproceedings{Rudolph_Trautmann_Sengupta_Schütze_2013, series={Lecture
    Notes in Computer Science}, title={Evenly Spaced Pareto Front Approximations for
    Tricriteria Problems Based on Triangulation}, volume={7811}, DOI={<a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>},
    booktitle={Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference,
    EMO 2013, Sheffield, UK, Proceedings}, publisher={Springer}, author={Rudolph,
    G and Trautmann, Heike and Sengupta, S and Schütze, O}, editor={Purshouse, RC
    and Fleming, PJ and Fonseca, CM and Greco, S and Shaw, J}, year={2013}, pages={443–458},
    collection={Lecture Notes in Computer Science} }'
  chicago: Rudolph, G, Heike Trautmann, S Sengupta, and O Schütze. “Evenly Spaced
    Pareto Front Approximations for Tricriteria Problems Based on Triangulation.”
    In <i>Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference,
    EMO 2013, Sheffield, UK, Proceedings</i>, edited by RC Purshouse, PJ Fleming,
    CM Fonseca, S Greco, and J Shaw, 7811:443–458. Lecture Notes in Computer Science.
    Springer, 2013. <a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>.
  ieee: 'G. Rudolph, H. Trautmann, S. Sengupta, and O. Schütze, “Evenly Spaced Pareto
    Front Approximations for Tricriteria Problems Based on Triangulation,” in <i>Evolutionary
    Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield,
    UK, Proceedings</i>, 2013, vol. 7811, pp. 443–458, doi: <a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>.'
  mla: Rudolph, G., et al. “Evenly Spaced Pareto Front Approximations for Tricriteria
    Problems Based on Triangulation.” <i>Evolutionary Multi-Criterion Optimization
    — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings</i>, edited
    by RC Purshouse et al., vol. 7811, Springer, 2013, pp. 443–458, doi:<a href="https://doi.org/10.1007/978-3-642-37140-0_34">https://doi.org/10.1007/978-3-642-37140-0_34</a>.
  short: 'G. Rudolph, H. Trautmann, S. Sengupta, O. Schütze, in: R. Purshouse, P.
    Fleming, C. Fonseca, S. Greco, J. Shaw (Eds.), Evolutionary Multi-Criterion Optimization
    — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, Springer,
    2013, pp. 443–458.'
date_created: 2023-08-04T15:43:38Z
date_updated: 2023-10-16T13:46:35Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1007/978-3-642-37140-0_34
editor:
- first_name: RC
  full_name: Purshouse, RC
  last_name: Purshouse
- first_name: PJ
  full_name: Fleming, PJ
  last_name: Fleming
- first_name: CM
  full_name: Fonseca, CM
  last_name: Fonseca
- first_name: S
  full_name: Greco, S
  last_name: Greco
- first_name: J
  full_name: Shaw, J
  last_name: Shaw
intvolume: '      7811'
language:
- iso: eng
page: 443–458
publication: Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference,
  EMO 2013, Sheffield, UK, Proceedings
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on
  Triangulation
type: conference
user_id: '15504'
volume: 7811
year: '2013'
...
