---
_id: '48869'
abstract:
- lang: eng
  text: Evolutionary algorithms have been shown to obtain good solutions for complex
    optimization problems in static and dynamic environments. It is important to understand
    the behaviour of evolutionary algorithms for complex optimization problems that
    also involve dynamic and/or stochastic components in a systematic way in order
    to further increase their applicability to real-world problems. We investigate
    the node weighted traveling salesperson problem (W-TSP), which provides an abstraction
    of a wide range of weighted TSP problems, in dynamic settings. In the dynamic
    setting of the problem, items that have to be collected as part of a TSP tour
    change over time. We first present a dynamic setup for the dynamic W-TSP parameterized
    by different types of changes that are applied to the set of items to be collected
    when traversing the tour. Our first experimental investigations study the impact
    of such changes on resulting optimized tours in order to provide structural insights
    of optimization solutions. Afterwards, we investigate simple mutation-based evolutionary
    algorithms and study the impact of the mutation operators and the use of populations
    with dealing with the dynamic changes to the node weights of the problem.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
citation:
  ama: 'Bossek J, Neumann A, Neumann F. On the Impact of Basic Mutation Operators
    and Populations within Evolutionary Algorithms for the Dynamic Weighted Traveling
    Salesperson Problem. In: <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>. GECCO’23. Association for Computing Machinery; 2023:248–256. doi:<a
    href="https://doi.org/10.1145/3583131.3590384">10.1145/3583131.3590384</a>'
  apa: Bossek, J., Neumann, A., &#38; Neumann, F. (2023). On the Impact of Basic Mutation
    Operators and Populations within Evolutionary Algorithms for the Dynamic Weighted
    Traveling Salesperson Problem. <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, 248–256. <a href="https://doi.org/10.1145/3583131.3590384">https://doi.org/10.1145/3583131.3590384</a>
  bibtex: '@inproceedings{Bossek_Neumann_Neumann_2023, place={New York, NY, USA},
    series={GECCO’23}, title={On the Impact of Basic Mutation Operators and Populations
    within Evolutionary Algorithms for the Dynamic Weighted Traveling Salesperson
    Problem}, DOI={<a href="https://doi.org/10.1145/3583131.3590384">10.1145/3583131.3590384</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Neumann,
    Aneta and Neumann, Frank}, year={2023}, pages={248–256}, collection={GECCO’23}
    }'
  chicago: 'Bossek, Jakob, Aneta Neumann, and Frank Neumann. “On the Impact of Basic
    Mutation Operators and Populations within Evolutionary Algorithms for the Dynamic
    Weighted Traveling Salesperson Problem.” In <i>Proceedings of the Genetic and
    Evolutionary Computation Conference</i>, 248–256. GECCO’23. New York, NY, USA:
    Association for Computing Machinery, 2023. <a href="https://doi.org/10.1145/3583131.3590384">https://doi.org/10.1145/3583131.3590384</a>.'
  ieee: 'J. Bossek, A. Neumann, and F. Neumann, “On the Impact of Basic Mutation Operators
    and Populations within Evolutionary Algorithms for the Dynamic Weighted Traveling
    Salesperson Problem,” in <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 2023, pp. 248–256, doi: <a href="https://doi.org/10.1145/3583131.3590384">10.1145/3583131.3590384</a>.'
  mla: Bossek, Jakob, et al. “On the Impact of Basic Mutation Operators and Populations
    within Evolutionary Algorithms for the Dynamic Weighted Traveling Salesperson
    Problem.” <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    Association for Computing Machinery, 2023, pp. 248–256, doi:<a href="https://doi.org/10.1145/3583131.3590384">10.1145/3583131.3590384</a>.
  short: 'J. Bossek, A. Neumann, F. Neumann, in: Proceedings of the Genetic and Evolutionary
    Computation Conference, Association for Computing Machinery, New York, NY, USA,
    2023, pp. 248–256.'
date_created: 2023-11-14T15:58:56Z
date_updated: 2023-12-13T10:46:27Z
department:
- _id: '819'
doi: 10.1145/3583131.3590384
extern: '1'
keyword:
- dynamic optimization
- evolutionary algorithms
- re-optimization
- weighted traveling salesperson problem
language:
- iso: eng
page: 248–256
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - '9798400701191'
publisher: Association for Computing Machinery
series_title: GECCO’23
status: public
title: On the Impact of Basic Mutation Operators and Populations within Evolutionary
  Algorithms for the Dynamic Weighted Traveling Salesperson Problem
type: conference
user_id: '102979'
year: '2023'
...
---
_id: '46310'
abstract:
- lang: eng
  text: 'Classic automated algorithm selection (AS) for (combinatorial) optimization
    problems heavily relies on so-called instance features, i.e., numerical characteristics
    of the problem at hand ideally extracted with computationally low-demanding routines.
    For the traveling salesperson problem (TSP) a plethora of features have been suggested.
    Most of these features are, if at all, only normalized imprecisely raising the
    issue of feature values being strongly affected by the instance size. Such artifacts
    may have detrimental effects on algorithm selection models. We propose a normalization
    for two feature groups which stood out in multiple AS studies on the TSP: (a)
    features based on a minimum spanning tree (MST) and (b) nearest neighbor relationships
    of the input instance. To this end we theoretically derive minimum and maximum
    values for properties of MSTs and k-nearest neighbor graphs (NNG) of Euclidean
    graphs. We analyze the differences in feature space between normalized versions
    of these features and their unnormalized counterparts. Our empirical investigations
    on various TSP benchmark sets point out that the feature scaling succeeds in eliminating
    the effect of the instance size. A proof-of-concept AS-study shows promising results:
    models trained with normalized features tend to outperform those trained with
    the respective vanilla features.'
author:
- first_name: Jonathan
  full_name: Heins, Jonathan
  last_name: Heins
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Janina
  full_name: Pohl, Janina
  last_name: Pohl
- first_name: Moritz
  full_name: Seiler, Moritz
  id: '105520'
  last_name: Seiler
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
citation:
  ama: Heins J, Bossek J, Pohl J, Seiler M, Trautmann H, Kerschke P. A study on the
    effects of normalized TSP features for automated algorithm selection. <i>Theoretical
    Computer Science</i>. 2023;940:123-145. doi:<a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>
  apa: Heins, J., Bossek, J., Pohl, J., Seiler, M., Trautmann, H., &#38; Kerschke,
    P. (2023). A study on the effects of normalized TSP features for automated algorithm
    selection. <i>Theoretical Computer Science</i>, <i>940</i>, 123–145. <a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>
  bibtex: '@article{Heins_Bossek_Pohl_Seiler_Trautmann_Kerschke_2023, title={A study
    on the effects of normalized TSP features for automated algorithm selection},
    volume={940}, DOI={<a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>},
    journal={Theoretical Computer Science}, author={Heins, Jonathan and Bossek, Jakob
    and Pohl, Janina and Seiler, Moritz and Trautmann, Heike and Kerschke, Pascal},
    year={2023}, pages={123–145} }'
  chicago: 'Heins, Jonathan, Jakob Bossek, Janina Pohl, Moritz Seiler, Heike Trautmann,
    and Pascal Kerschke. “A Study on the Effects of Normalized TSP Features for Automated
    Algorithm Selection.” <i>Theoretical Computer Science</i> 940 (2023): 123–45.
    <a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>.'
  ieee: 'J. Heins, J. Bossek, J. Pohl, M. Seiler, H. Trautmann, and P. Kerschke, “A
    study on the effects of normalized TSP features for automated algorithm selection,”
    <i>Theoretical Computer Science</i>, vol. 940, pp. 123–145, 2023, doi: <a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>.'
  mla: Heins, Jonathan, et al. “A Study on the Effects of Normalized TSP Features
    for Automated Algorithm Selection.” <i>Theoretical Computer Science</i>, vol.
    940, 2023, pp. 123–45, doi:<a href="https://doi.org/10.1016/j.tcs.2022.10.019">https://doi.org/10.1016/j.tcs.2022.10.019</a>.
  short: J. Heins, J. Bossek, J. Pohl, M. Seiler, H. Trautmann, P. Kerschke, Theoretical
    Computer Science 940 (2023) 123–145.
date_created: 2023-08-04T07:18:38Z
date_updated: 2024-06-10T11:57:21Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1016/j.tcs.2022.10.019
intvolume: '       940'
keyword:
- Feature normalization
- Algorithm selection
- Traveling salesperson problem
language:
- iso: eng
page: 123-145
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
status: public
title: A study on the effects of normalized TSP features for automated algorithm selection
type: journal_article
user_id: '15504'
volume: 940
year: '2023'
...
---
_id: '48881'
abstract:
- lang: eng
  text: 'Classic automated algorithm selection (AS) for (combinatorial) optimization
    problems heavily relies on so-called instance features, i.e., numerical characteristics
    of the problem at hand ideally extracted with computationally low-demanding routines.
    For the traveling salesperson problem (TSP) a plethora of features have been suggested.
    Most of these features are, if at all, only normalized imprecisely raising the
    issue of feature values being strongly affected by the instance size. Such artifacts
    may have detrimental effects on algorithm selection models. We propose a normalization
    for two feature groups which stood out in multiple AS studies on the TSP: (a)
    features based on a minimum spanning tree (MST) and (b) a k-nearest neighbor graph
    (NNG) transformation of the input instance. To this end we theoretically derive
    minimum and maximum values for properties of MSTs and k-NNGs of Euclidean graphs.
    We analyze the differences in feature space between normalized versions of these
    features and their unnormalized counterparts. Our empirical investigations on
    various TSP benchmark sets point out that the feature scaling succeeds in eliminating
    the effect of the instance size. Eventually, a proof-of-concept AS-study shows
    promising results: models trained with normalized features tend to outperform
    those trained with the respective vanilla features.'
author:
- first_name: Jonathan
  full_name: Heins, Jonathan
  last_name: Heins
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Janina
  full_name: Pohl, Janina
  last_name: Pohl
- first_name: Moritz
  full_name: Seiler, Moritz
  last_name: Seiler
- first_name: Heike
  full_name: Trautmann, Heike
  last_name: Trautmann
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
citation:
  ama: 'Heins J, Bossek J, Pohl J, Seiler M, Trautmann H, Kerschke P. On the Potential
    of Normalized TSP Features for Automated Algorithm Selection. In: <i>Proceedings
    of the 16th ACM/SIGEVO Conference on Foundations of Genetic Algorithms</i>. Association
    for Computing Machinery; 2021:1–15.'
  apa: Heins, J., Bossek, J., Pohl, J., Seiler, M., Trautmann, H., &#38; Kerschke,
    P. (2021). On the Potential of Normalized TSP Features for Automated Algorithm
    Selection. In <i>Proceedings of the 16th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms</i> (pp. 1–15). Association for Computing Machinery.
  bibtex: '@inbook{Heins_Bossek_Pohl_Seiler_Trautmann_Kerschke_2021, place={New York,
    NY, USA}, title={On the Potential of Normalized TSP Features for Automated Algorithm
    Selection}, booktitle={Proceedings of the 16th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms}, publisher={Association for Computing Machinery}, author={Heins,
    Jonathan and Bossek, Jakob and Pohl, Janina and Seiler, Moritz and Trautmann,
    Heike and Kerschke, Pascal}, year={2021}, pages={1–15} }'
  chicago: 'Heins, Jonathan, Jakob Bossek, Janina Pohl, Moritz Seiler, Heike Trautmann,
    and Pascal Kerschke. “On the Potential of Normalized TSP Features for Automated
    Algorithm Selection.” In <i>Proceedings of the 16th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms</i>, 1–15. New York, NY, USA: Association for Computing
    Machinery, 2021.'
  ieee: 'J. Heins, J. Bossek, J. Pohl, M. Seiler, H. Trautmann, and P. Kerschke, “On
    the Potential of Normalized TSP Features for Automated Algorithm Selection,” in
    <i>Proceedings of the 16th ACM/SIGEVO Conference on Foundations of Genetic Algorithms</i>,
    New York, NY, USA: Association for Computing Machinery, 2021, pp. 1–15.'
  mla: Heins, Jonathan, et al. “On the Potential of Normalized TSP Features for Automated
    Algorithm Selection.” <i>Proceedings of the 16th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms</i>, Association for Computing Machinery, 2021, pp. 1–15.
  short: 'J. Heins, J. Bossek, J. Pohl, M. Seiler, H. Trautmann, P. Kerschke, in:
    Proceedings of the 16th ACM/SIGEVO Conference on Foundations of Genetic Algorithms,
    Association for Computing Machinery, New York, NY, USA, 2021, pp. 1–15.'
date_created: 2023-11-14T15:58:58Z
date_updated: 2023-12-13T10:47:23Z
department:
- _id: '819'
extern: '1'
keyword:
- automated algorithm selection
- graph theory
- instance features
- normalization
- traveling salesperson problem (TSP)
language:
- iso: eng
page: 1–15
place: New York, NY, USA
publication: Proceedings of the 16th ACM/SIGEVO Conference on Foundations of Genetic
  Algorithms
publication_identifier:
  isbn:
  - 978-1-4503-8352-3
publisher: Association for Computing Machinery
status: public
title: On the Potential of Normalized TSP Features for Automated Algorithm Selection
type: book_chapter
user_id: '102979'
year: '2021'
...
---
_id: '48893'
abstract:
- lang: eng
  text: Computing diverse sets of high-quality solutions has gained increasing attention
    among the evolutionary computation community in recent years. It allows practitioners
    to choose from a set of high-quality alternatives. In this paper, we employ a
    population diversity measure, called the high-order entropy measure, in an evolutionary
    algorithm to compute a diverse set of high-quality solutions for the Traveling
    Salesperson Problem. In contrast to previous studies, our approach allows diversifying
    segments of tours containing several edges based on the entropy measure. We examine
    the resulting evolutionary diversity optimisation approach precisely in terms
    of the final set of solutions and theoretical properties. Experimental results
    show significant improvements compared to a recently proposed edge-based diversity
    optimisation approach when working with a large population of solutions or long
    segments.
author:
- first_name: Adel
  full_name: Nikfarjam, Adel
  last_name: Nikfarjam
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
citation:
  ama: 'Nikfarjam A, Bossek J, Neumann A, Neumann F. Entropy-Based Evolutionary Diversity
    Optimisation for the Traveling Salesperson Problem. In: <i>Proceedings of the
    Genetic and Evolutionary Computation Conference</i>. GECCO’21. Association for
    Computing Machinery; 2021:600–608. doi:<a href="https://doi.org/10.1145/3449639.3459384">10.1145/3449639.3459384</a>'
  apa: Nikfarjam, A., Bossek, J., Neumann, A., &#38; Neumann, F. (2021). Entropy-Based
    Evolutionary Diversity Optimisation for the Traveling Salesperson Problem. <i>Proceedings
    of the Genetic and Evolutionary Computation Conference</i>, 600–608. <a href="https://doi.org/10.1145/3449639.3459384">https://doi.org/10.1145/3449639.3459384</a>
  bibtex: '@inproceedings{Nikfarjam_Bossek_Neumann_Neumann_2021, place={New York,
    NY, USA}, series={GECCO’21}, title={Entropy-Based Evolutionary Diversity Optimisation
    for the Traveling Salesperson Problem}, DOI={<a href="https://doi.org/10.1145/3449639.3459384">10.1145/3449639.3459384</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Nikfarjam, Adel and Bossek,
    Jakob and Neumann, Aneta and Neumann, Frank}, year={2021}, pages={600–608}, collection={GECCO’21}
    }'
  chicago: 'Nikfarjam, Adel, Jakob Bossek, Aneta Neumann, and Frank Neumann. “Entropy-Based
    Evolutionary Diversity Optimisation for the Traveling Salesperson Problem.” In
    <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, 600–608.
    GECCO’21. New York, NY, USA: Association for Computing Machinery, 2021. <a href="https://doi.org/10.1145/3449639.3459384">https://doi.org/10.1145/3449639.3459384</a>.'
  ieee: 'A. Nikfarjam, J. Bossek, A. Neumann, and F. Neumann, “Entropy-Based Evolutionary
    Diversity Optimisation for the Traveling Salesperson Problem,” in <i>Proceedings
    of the Genetic and Evolutionary Computation Conference</i>, 2021, pp. 600–608,
    doi: <a href="https://doi.org/10.1145/3449639.3459384">10.1145/3449639.3459384</a>.'
  mla: Nikfarjam, Adel, et al. “Entropy-Based Evolutionary Diversity Optimisation
    for the Traveling Salesperson Problem.” <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, Association for Computing Machinery, 2021, pp. 600–608,
    doi:<a href="https://doi.org/10.1145/3449639.3459384">10.1145/3449639.3459384</a>.
  short: 'A. Nikfarjam, J. Bossek, A. Neumann, F. Neumann, in: Proceedings of the
    Genetic and Evolutionary Computation Conference, Association for Computing Machinery,
    New York, NY, USA, 2021, pp. 600–608.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:50:06Z
department:
- _id: '819'
doi: 10.1145/3449639.3459384
extern: '1'
keyword:
- evolutionary algorithms
- evolutionary diversity optimisation
- high-order entropy
- traveling salesperson problem
language:
- iso: eng
page: 600–608
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-8350-9
publisher: Association for Computing Machinery
series_title: GECCO’21
status: public
title: Entropy-Based Evolutionary Diversity Optimisation for the Traveling Salesperson
  Problem
type: conference
user_id: '102979'
year: '2021'
...
---
_id: '48892'
abstract:
- lang: eng
  text: Evolutionary algorithms based on edge assembly crossover (EAX) constitute
    some of the best performing incomplete solvers for the well-known traveling salesperson
    problem (TSP). Often, it is desirable to compute not just a single solution for
    a given problem, but a diverse set of high quality solutions from which a decision
    maker can choose one for implementation. Currently, there are only a few approaches
    for computing a diverse solution set for the TSP. Furthermore, almost all of them
    assume that the optimal solution is known. In this paper, we introduce evolutionary
    diversity optimisation (EDO) approaches for the TSP that find a diverse set of
    tours when the optimal tour is known or unknown. We show how to adopt EAX to not
    only find a high-quality solution but also to maximise the diversity of the population.
    The resulting EAX-based EDO approach, termed EAX-EDO is capable of obtaining diverse
    high-quality tours when the optimal solution for the TSP is known or unknown.
    A comparison to existing approaches shows that they are clearly outperformed by
    EAX-EDO.
author:
- first_name: Adel
  full_name: Nikfarjam, Adel
  last_name: Nikfarjam
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
citation:
  ama: 'Nikfarjam A, Bossek J, Neumann A, Neumann F. Computing Diverse Sets of High
    Quality TSP Tours by EAX-based Evolutionary Diversity Optimisation. In: <i>Proceedings
    of the 16th ACM}/SIGEVO Conference on Foundations of Genetic Algorithms</i>. Association
    for Computing Machinery; 2021:1–11.'
  apa: Nikfarjam, A., Bossek, J., Neumann, A., &#38; Neumann, F. (2021). Computing
    Diverse Sets of High Quality TSP Tours by EAX-based Evolutionary Diversity Optimisation.
    In <i>Proceedings of the 16th ACM}/SIGEVO Conference on Foundations of Genetic
    Algorithms</i> (pp. 1–11). Association for Computing Machinery.
  bibtex: '@inbook{Nikfarjam_Bossek_Neumann_Neumann_2021, place={New York, NY, USA},
    title={Computing Diverse Sets of High Quality TSP Tours by EAX-based Evolutionary
    Diversity Optimisation}, booktitle={Proceedings of the 16th ACM}/SIGEVO Conference
    on Foundations of Genetic Algorithms}, publisher={Association for Computing Machinery},
    author={Nikfarjam, Adel and Bossek, Jakob and Neumann, Aneta and Neumann, Frank},
    year={2021}, pages={1–11} }'
  chicago: 'Nikfarjam, Adel, Jakob Bossek, Aneta Neumann, and Frank Neumann. “Computing
    Diverse Sets of High Quality TSP Tours by EAX-Based Evolutionary Diversity Optimisation.”
    In <i>Proceedings of the 16th ACM}/SIGEVO Conference on Foundations of Genetic
    Algorithms</i>, 1–11. New York, NY, USA: Association for Computing Machinery,
    2021.'
  ieee: 'A. Nikfarjam, J. Bossek, A. Neumann, and F. Neumann, “Computing Diverse Sets
    of High Quality TSP Tours by EAX-based Evolutionary Diversity Optimisation,” in
    <i>Proceedings of the 16th ACM}/SIGEVO Conference on Foundations of Genetic Algorithms</i>,
    New York, NY, USA: Association for Computing Machinery, 2021, pp. 1–11.'
  mla: Nikfarjam, Adel, et al. “Computing Diverse Sets of High Quality TSP Tours by
    EAX-Based Evolutionary Diversity Optimisation.” <i>Proceedings of the 16th ACM}/SIGEVO
    Conference on Foundations of Genetic Algorithms</i>, Association for Computing
    Machinery, 2021, pp. 1–11.
  short: 'A. Nikfarjam, J. Bossek, A. Neumann, F. Neumann, in: Proceedings of the
    16th ACM}/SIGEVO Conference on Foundations of Genetic Algorithms, Association
    for Computing Machinery, New York, NY, USA, 2021, pp. 1–11.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:49:59Z
department:
- _id: '819'
extern: '1'
keyword:
- edge assembly crossover (EAX)
- evolutionary algorithms
- evolutionary diversity optimisation (EDO)
- traveling salesperson problem (TSP)
language:
- iso: eng
page: 1–11
place: New York, NY, USA
publication: Proceedings of the 16th ACM}/SIGEVO Conference on Foundations of Genetic
  Algorithms
publication_identifier:
  isbn:
  - 978-1-4503-8352-3
publisher: Association for Computing Machinery
status: public
title: Computing Diverse Sets of High Quality TSP Tours by EAX-based Evolutionary
  Diversity Optimisation
type: book_chapter
user_id: '102979'
year: '2021'
...
---
_id: '48897'
abstract:
- lang: eng
  text: 'In this work we focus on the well-known Euclidean Traveling Salesperson Problem
    (TSP) and two highly competitive inexact heuristic TSP solvers, EAX and LKH, in
    the context of per-instance algorithm selection (AS). We evolve instances with
    nodes where the solvers show strongly different performance profiles. These instances
    serve as a basis for an exploratory study on the identification of well-discriminating
    problem characteristics (features). Our results in a nutshell: we show that even
    though (1) promising features exist, (2) these are in line with previous results
    from the literature, and (3) models trained with these features are more accurate
    than models adopting sophisticated feature selection methods, the advantage is
    not close to the virtual best solver in terms of penalized average runtime and
    so is the performance gain over the single best solver. However, we show that
    a feature-free deep neural network based approach solely based on visual representation
    of the instances already matches classical AS model results and thus shows huge
    potential for future studies.'
author:
- first_name: Moritz
  full_name: Seiler, Moritz
  last_name: Seiler
- first_name: Janina
  full_name: Pohl, Janina
  last_name: Pohl
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Heike
  full_name: Trautmann, Heike
  last_name: Trautmann
citation:
  ama: 'Seiler M, Pohl J, Bossek J, Kerschke P, Trautmann H. Deep Learning as a Competitive
    Feature-Free Approach for Automated Algorithm Selection on the Traveling Salesperson
    Problem. In: <i>Parallel Problem Solving from {Nature} (PPSN XVI)</i>. Springer-Verlag;
    2020:48–64. doi:<a href="https://doi.org/10.1007/978-3-030-58112-1_4">10.1007/978-3-030-58112-1_4</a>'
  apa: Seiler, M., Pohl, J., Bossek, J., Kerschke, P., &#38; Trautmann, H. (2020).
    Deep Learning as a Competitive Feature-Free Approach for Automated Algorithm Selection
    on the Traveling Salesperson Problem. <i>Parallel Problem Solving from {Nature}
    (PPSN XVI)</i>, 48–64. <a href="https://doi.org/10.1007/978-3-030-58112-1_4">https://doi.org/10.1007/978-3-030-58112-1_4</a>
  bibtex: '@inproceedings{Seiler_Pohl_Bossek_Kerschke_Trautmann_2020, place={Berlin,
    Heidelberg}, title={Deep Learning as a Competitive Feature-Free Approach for Automated
    Algorithm Selection on the Traveling Salesperson Problem}, DOI={<a href="https://doi.org/10.1007/978-3-030-58112-1_4">10.1007/978-3-030-58112-1_4</a>},
    booktitle={Parallel Problem Solving from {Nature} (PPSN XVI)}, publisher={Springer-Verlag},
    author={Seiler, Moritz and Pohl, Janina and Bossek, Jakob and Kerschke, Pascal
    and Trautmann, Heike}, year={2020}, pages={48–64} }'
  chicago: 'Seiler, Moritz, Janina Pohl, Jakob Bossek, Pascal Kerschke, and Heike
    Trautmann. “Deep Learning as a Competitive Feature-Free Approach for Automated
    Algorithm Selection on the Traveling Salesperson Problem.” In <i>Parallel Problem
    Solving from {Nature} (PPSN XVI)</i>, 48–64. Berlin, Heidelberg: Springer-Verlag,
    2020. <a href="https://doi.org/10.1007/978-3-030-58112-1_4">https://doi.org/10.1007/978-3-030-58112-1_4</a>.'
  ieee: 'M. Seiler, J. Pohl, J. Bossek, P. Kerschke, and H. Trautmann, “Deep Learning
    as a Competitive Feature-Free Approach for Automated Algorithm Selection on the
    Traveling Salesperson Problem,” in <i>Parallel Problem Solving from {Nature} (PPSN
    XVI)</i>, 2020, pp. 48–64, doi: <a href="https://doi.org/10.1007/978-3-030-58112-1_4">10.1007/978-3-030-58112-1_4</a>.'
  mla: Seiler, Moritz, et al. “Deep Learning as a Competitive Feature-Free Approach
    for Automated Algorithm Selection on the Traveling Salesperson Problem.” <i>Parallel
    Problem Solving from {Nature} (PPSN XVI)</i>, Springer-Verlag, 2020, pp. 48–64,
    doi:<a href="https://doi.org/10.1007/978-3-030-58112-1_4">10.1007/978-3-030-58112-1_4</a>.
  short: 'M. Seiler, J. Pohl, J. Bossek, P. Kerschke, H. Trautmann, in: Parallel Problem
    Solving from {Nature} (PPSN XVI), Springer-Verlag, Berlin, Heidelberg, 2020, pp.
    48–64.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:49:45Z
department:
- _id: '819'
doi: 10.1007/978-3-030-58112-1_4
extern: '1'
keyword:
- Automated algorithm selection
- Deep learning
- Feature-based approaches
- Traveling Salesperson Problem
language:
- iso: eng
page: 48–64
place: Berlin, Heidelberg
publication: Parallel Problem Solving from {Nature} (PPSN XVI)
publication_identifier:
  isbn:
  - 978-3-030-58111-4
publisher: Springer-Verlag
status: public
title: Deep Learning as a Competitive Feature-Free Approach for Automated Algorithm
  Selection on the Traveling Salesperson Problem
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48848'
abstract:
- lang: eng
  text: We build upon a recently proposed multi-objective view onto performance measurement
    of single-objective stochastic solvers. The trade-off between the fraction of
    failed runs and the mean runtime of successful runs \textendash both to be minimized
    \textendash is directly analyzed based on a study on algorithm selection of inexact
    state-of-the-art solvers for the famous Traveling Salesperson Problem (TSP). Moreover,
    we adopt the hypervolume indicator (HV) commonly used in multi-objective optimization
    for simultaneously assessing both conflicting objectives and investigate relations
    to commonly used performance indicators, both theoretically and empirically. Next
    to Penalized Average Runtime (PAR) and Penalized Quantile Runtime (PQR), the HV
    measure is used as a core concept within the construction of per-instance algorithm
    selection models offering interesting insights into complementary behavior of
    inexact TSP solvers. \textbullet The multi-objective perspective is naturally
    generalizable to multiple objectives. \textbullet Proof of relationship between
    HV and the PAR in the considered bi-objective space. \textbullet New insights
    into complementary behavior of stochastic optimization algorithms.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Heike
  full_name: Trautmann, Heike
  last_name: Trautmann
citation:
  ama: Bossek J, Kerschke P, Trautmann H. A Multi-Objective Perspective on Performance
    Assessment and Automated Selection of Single-Objective Optimization Algorithms.
    <i>Applied Soft Computing</i>. 2020;88(C). doi:<a href="https://doi.org/10.1016/j.asoc.2019.105901">10.1016/j.asoc.2019.105901</a>
  apa: Bossek, J., Kerschke, P., &#38; Trautmann, H. (2020). A Multi-Objective Perspective
    on Performance Assessment and Automated Selection of Single-Objective Optimization
    Algorithms. <i>Applied Soft Computing</i>, <i>88</i>(C). <a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>
  bibtex: '@article{Bossek_Kerschke_Trautmann_2020, title={A Multi-Objective Perspective
    on Performance Assessment and Automated Selection of Single-Objective Optimization
    Algorithms}, volume={88}, DOI={<a href="https://doi.org/10.1016/j.asoc.2019.105901">10.1016/j.asoc.2019.105901</a>},
    number={C}, journal={Applied Soft Computing}, author={Bossek, Jakob and Kerschke,
    Pascal and Trautmann, Heike}, year={2020} }'
  chicago: Bossek, Jakob, Pascal Kerschke, and Heike Trautmann. “A Multi-Objective
    Perspective on Performance Assessment and Automated Selection of Single-Objective
    Optimization Algorithms.” <i>Applied Soft Computing</i> 88, no. C (2020). <a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>.
  ieee: 'J. Bossek, P. Kerschke, and H. Trautmann, “A Multi-Objective Perspective
    on Performance Assessment and Automated Selection of Single-Objective Optimization
    Algorithms,” <i>Applied Soft Computing</i>, vol. 88, no. C, 2020, doi: <a href="https://doi.org/10.1016/j.asoc.2019.105901">10.1016/j.asoc.2019.105901</a>.'
  mla: Bossek, Jakob, et al. “A Multi-Objective Perspective on Performance Assessment
    and Automated Selection of Single-Objective Optimization Algorithms.” <i>Applied
    Soft Computing</i>, vol. 88, no. C, 2020, doi:<a href="https://doi.org/10.1016/j.asoc.2019.105901">10.1016/j.asoc.2019.105901</a>.
  short: J. Bossek, P. Kerschke, H. Trautmann, Applied Soft Computing 88 (2020).
date_created: 2023-11-14T15:58:53Z
date_updated: 2023-12-13T10:52:17Z
department:
- _id: '819'
doi: 10.1016/j.asoc.2019.105901
intvolume: '        88'
issue: C
keyword:
- Algorithm selection
- Combinatorial optimization
- Multi-objective optimization
- Performance measurement
- Traveling Salesperson Problem
language:
- iso: eng
publication: Applied Soft Computing
publication_identifier:
  issn:
  - 1568-4946
status: public
title: A Multi-Objective Perspective on Performance Assessment and Automated Selection
  of Single-Objective Optimization Algorithms
type: journal_article
user_id: '102979'
volume: 88
year: '2020'
...
---
_id: '46334'
abstract:
- lang: eng
  text: We build upon a recently proposed multi-objective view onto performance measurement
    of single-objective stochastic solvers. The trade-off between the fraction of
    failed runs and the mean runtime of successful runs – both to be minimized – is
    directly analyzed based on a study on algorithm selection of inexact state-of-the-art
    solvers for the famous Traveling Salesperson Problem (TSP). Moreover, we adopt
    the hypervolume indicator (HV) commonly used in multi-objective optimization for
    simultaneously assessing both conflicting objectives and investigate relations
    to commonly used performance indicators, both theoretically and empirically. Next
    to Penalized Average Runtime (PAR) and Penalized Quantile Runtime (PQR), the HV
    measure is used as a core concept within the construction of per-instance algorithm
    selection models offering interesting insights into complementary behavior of
    inexact TSP solvers.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- 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: Bossek J, Kerschke P, Trautmann H. A multi-objective perspective on performance
    assessment and automated selection of single-objective optimization algorithms.
    <i>Applied Soft Computing</i>. 2020;88:105901. doi:<a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>
  apa: Bossek, J., Kerschke, P., &#38; Trautmann, H. (2020). A multi-objective perspective
    on performance assessment and automated selection of single-objective optimization
    algorithms. <i>Applied Soft Computing</i>, <i>88</i>, 105901. <a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>
  bibtex: '@article{Bossek_Kerschke_Trautmann_2020, title={A multi-objective perspective
    on performance assessment and automated selection of single-objective optimization
    algorithms}, volume={88}, DOI={<a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>},
    journal={Applied Soft Computing}, author={Bossek, Jakob and Kerschke, Pascal and
    Trautmann, Heike}, year={2020}, pages={105901} }'
  chicago: 'Bossek, Jakob, Pascal Kerschke, and Heike Trautmann. “A Multi-Objective
    Perspective on Performance Assessment and Automated Selection of Single-Objective
    Optimization Algorithms.” <i>Applied Soft Computing</i> 88 (2020): 105901. <a
    href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>.'
  ieee: 'J. Bossek, P. Kerschke, and H. Trautmann, “A multi-objective perspective
    on performance assessment and automated selection of single-objective optimization
    algorithms,” <i>Applied Soft Computing</i>, vol. 88, p. 105901, 2020, doi: <a
    href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>.'
  mla: Bossek, Jakob, et al. “A Multi-Objective Perspective on Performance Assessment
    and Automated Selection of Single-Objective Optimization Algorithms.” <i>Applied
    Soft Computing</i>, vol. 88, 2020, p. 105901, doi:<a href="https://doi.org/10.1016/j.asoc.2019.105901">https://doi.org/10.1016/j.asoc.2019.105901</a>.
  short: J. Bossek, P. Kerschke, H. Trautmann, Applied Soft Computing 88 (2020) 105901.
date_created: 2023-08-04T07:42:26Z
date_updated: 2024-06-10T12:00:46Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1016/j.asoc.2019.105901
intvolume: '        88'
keyword:
- Algorithm selection
- Multi-objective optimization
- Performance measurement
- Combinatorial optimization
- Traveling Salesperson Problem
language:
- iso: eng
page: '105901'
publication: Applied Soft Computing
publication_identifier:
  issn:
  - 1568-4946
status: public
title: A multi-objective perspective on performance assessment and automated selection
  of single-objective optimization algorithms
type: journal_article
user_id: '15504'
volume: 88
year: '2020'
...
---
_id: '48842'
abstract:
- lang: eng
  text: 'Evolutionary algorithms have successfully been applied to evolve problem
    instances that exhibit a significant difference in performance for a given algorithm
    or a pair of algorithms inter alia for the Traveling Salesperson Problem (TSP).
    Creating a large variety of instances is crucial for successful applications in
    the blooming field of algorithm selection. In this paper, we introduce new and
    creative mutation operators for evolving instances of the TSP. We show that adopting
    those operators in an evolutionary algorithm allows for the generation of benchmark
    sets with highly desirable properties: (1) novelty by clear visual distinction
    to established benchmark sets in the field, (2) visual and quantitative diversity
    in the space of TSP problem characteristics, and (3) significant performance differences
    with respect to the restart versions of heuristic state-of-the-art TSP solvers
    EAX and LKH. The important aspect of diversity is addressed and achieved solely
    by the proposed mutation operators and not enforced by explicit diversity preservation.'
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Aneta
  full_name: Neumann, Aneta
  last_name: Neumann
- first_name: Markus
  full_name: Wagner, Markus
  last_name: Wagner
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
- first_name: Heike
  full_name: Trautmann, Heike
  last_name: Trautmann
citation:
  ama: 'Bossek J, Kerschke P, Neumann A, Wagner M, Neumann F, Trautmann H. Evolving
    Diverse TSP Instances by Means of Novel and Creative Mutation Operators. In: <i>Proceedings
    of the 15th ACM/SIGEVO Conference on Foundations of Genetic Algorithms</i>. FOGA
    ’19. Association for Computing Machinery; 2019:58–71. doi:<a href="https://doi.org/10.1145/3299904.3340307">10.1145/3299904.3340307</a>'
  apa: Bossek, J., Kerschke, P., Neumann, A., Wagner, M., Neumann, F., &#38; Trautmann,
    H. (2019). Evolving Diverse TSP Instances by Means of Novel and Creative Mutation
    Operators. <i>Proceedings of the 15th ACM/SIGEVO Conference on Foundations of
    Genetic Algorithms</i>, 58–71. <a href="https://doi.org/10.1145/3299904.3340307">https://doi.org/10.1145/3299904.3340307</a>
  bibtex: '@inproceedings{Bossek_Kerschke_Neumann_Wagner_Neumann_Trautmann_2019, place={New
    York, NY, USA}, series={FOGA ’19}, title={Evolving Diverse TSP Instances by Means
    of Novel and Creative Mutation Operators}, DOI={<a href="https://doi.org/10.1145/3299904.3340307">10.1145/3299904.3340307</a>},
    booktitle={Proceedings of the 15th ACM/SIGEVO Conference on Foundations of Genetic
    Algorithms}, publisher={Association for Computing Machinery}, author={Bossek,
    Jakob and Kerschke, Pascal and Neumann, Aneta and Wagner, Markus and Neumann,
    Frank and Trautmann, Heike}, year={2019}, pages={58–71}, collection={FOGA ’19}
    }'
  chicago: 'Bossek, Jakob, Pascal Kerschke, Aneta Neumann, Markus Wagner, Frank Neumann,
    and Heike Trautmann. “Evolving Diverse TSP Instances by Means of Novel and Creative
    Mutation Operators.” In <i>Proceedings of the 15th ACM/SIGEVO Conference on Foundations
    of Genetic Algorithms</i>, 58–71. FOGA ’19. New York, NY, USA: Association for
    Computing Machinery, 2019. <a href="https://doi.org/10.1145/3299904.3340307">https://doi.org/10.1145/3299904.3340307</a>.'
  ieee: 'J. Bossek, P. Kerschke, A. Neumann, M. Wagner, F. Neumann, and H. Trautmann,
    “Evolving Diverse TSP Instances by Means of Novel and Creative Mutation Operators,”
    in <i>Proceedings of the 15th ACM/SIGEVO Conference on Foundations of Genetic
    Algorithms</i>, 2019, pp. 58–71, doi: <a href="https://doi.org/10.1145/3299904.3340307">10.1145/3299904.3340307</a>.'
  mla: Bossek, Jakob, et al. “Evolving Diverse TSP Instances by Means of Novel and
    Creative Mutation Operators.” <i>Proceedings of the 15th ACM/SIGEVO Conference
    on Foundations of Genetic Algorithms</i>, Association for Computing Machinery,
    2019, pp. 58–71, doi:<a href="https://doi.org/10.1145/3299904.3340307">10.1145/3299904.3340307</a>.
  short: 'J. Bossek, P. Kerschke, A. Neumann, M. Wagner, F. Neumann, H. Trautmann,
    in: Proceedings of the 15th ACM/SIGEVO Conference on Foundations of Genetic Algorithms,
    Association for Computing Machinery, New York, NY, USA, 2019, pp. 58–71.'
date_created: 2023-11-14T15:58:52Z
date_updated: 2023-12-13T10:42:57Z
department:
- _id: '819'
doi: 10.1145/3299904.3340307
extern: '1'
keyword:
- benchmarking
- instance features
- optimization
- problem generation
- traveling salesperson problem
language:
- iso: eng
page: 58–71
place: New York, NY, USA
publication: Proceedings of the 15th ACM/SIGEVO Conference on Foundations of Genetic
  Algorithms
publication_identifier:
  isbn:
  - 978-1-4503-6254-2
publication_status: published
publisher: Association for Computing Machinery
series_title: FOGA ’19
status: public
title: Evolving Diverse TSP Instances by Means of Novel and Creative Mutation Operators
type: conference
user_id: '102979'
year: '2019'
...
---
_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'
...
