---
_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: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO
’15). ; 2015:425–432. doi:10.1145/2739480.2754705'
apa: Meisel, S., Grimme, C., Bossek, J., Wölck, M., Rudolph, G., & Trautmann,
H. (2015). Evaluation of a Multi-Objective EA on Benchmark Instances for Dynamic
Routing of a Vehicle. Proceedings of the Genetic and Evolutionary Computation
Conference (GECCO ’15), 425–432. https://doi.org/10.1145/2739480.2754705
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={10.1145/2739480.2754705},
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 Proceedings of the Genetic
and Evolutionary Computation Conference (GECCO ’15), 425–432. Madrid, Spain,
2015. https://doi.org/10.1145/2739480.2754705.
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 Proceedings of the Genetic and Evolutionary Computation Conference
(GECCO ’15), 2015, pp. 425–432, doi: 10.1145/2739480.2754705.'
mla: Meisel, Stephan, et al. “Evaluation of a Multi-Objective EA on Benchmark Instances
for Dynamic Routing of a Vehicle.” Proceedings of the Genetic and Evolutionary
Computation Conference (GECCO ’15), 2015, pp. 425–432, doi:10.1145/2739480.2754705.
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. EVOLVE
— A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
V. Vol 288. Advances in Intelligent Systems and Computing. Springer International
Publishing; 2014:115–131. doi:10.1007/978-3-319-07494-8_9'
apa: Kerschke, P., Preuss, M., Hernández, C., Schütze, O., Sun, J.-Q., Grimme, C.,
Rudolph, G., Bischl, B., & 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, & C. C. A.
Coello (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics,
and Evolutionary Computation V (Vol. 288, pp. 115–131). Springer International
Publishing. https://doi.org/10.1007/978-3-319-07494-8_9
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={10.1007/978-3-319-07494-8_9},
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 EVOLVE — A Bridge
between Probability, Set Oriented Numerics, and Evolutionary Computation V,
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. https://doi.org/10.1007/978-3-319-07494-8_9.'
ieee: 'P. Kerschke et al., “Cell Mapping Techniques for Exploratory Landscape
Analysis,” in EVOLVE — A Bridge between Probability, Set Oriented Numerics,
and Evolutionary Computation V, 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.” EVOLVE — A Bridge between Probability, Set Oriented Numerics, and
Evolutionary Computation V, edited by Alexandru-Adrian Tantar et al., vol.
288, Springer International Publishing, 2014, pp. 115–131, doi:10.1007/978-3-319-07494-8_9.
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. EVOLVE — A Bridge between Probability, Set
Oriented Numerics, and Evolutionary Computation V. Vol 288. Advances in Intelligent
Systems and Computing. Springer International Publishing; 2014:261–273. doi:10.1007/978-3-319-07494-8_18'
apa: Rudolph, G., Schütze, O., Grimme, C., & 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, & C. C. Coello (Eds.), EVOLVE — A Bridge between Probability,
Set Oriented Numerics, and Evolutionary Computation V (Vol. 288, pp. 261–273).
Springer International Publishing. https://doi.org/10.1007/978-3-319-07494-8_18
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={10.1007/978-3-319-07494-8_18},
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 EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
Computation V, 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.
https://doi.org/10.1007/978-3-319-07494-8_18.
ieee: G. Rudolph, O. Schütze, C. Grimme, and H. Trautmann, “A Multiobjective Evolutionary
Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets,” in EVOLVE
— A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
V, 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.” EVOLVE — A Bridge between Probability,
Set Oriented Numerics, and Evolutionary Computation V, edited by A Tantar
et al., vol. 288, Springer International Publishing, 2014, pp. 261–273, doi:10.1007/978-3-319-07494-8_18.
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: Proceedings of the Learning and Intelligent
OptimizatioN Conference (LION 8). Vol 8426. Lecture Notes in Computer Science.
Springer; 2014:153–156.'
apa: Rudolph, G., Grimme, C., Schütze, O., & Trautmann, H. (2014). An Aspiration
Set EMOA Based on Averaged Hausdorff Distances. Proceedings of the Learning
and Intelligent OptimizatioN Conference (LION 8), 8426, 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 Proceedings
of the Learning and Intelligent OptimizatioN Conference (LION 8), 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 Proceedings of the Learning and
Intelligent OptimizatioN Conference (LION 8), 2014, vol. 8426, pp. 153–156.
mla: Rudolph, Günter, et al. “An Aspiration Set EMOA Based on Averaged Hausdorff
Distances.” Proceedings of the Learning and Intelligent OptimizatioN Conference
(LION 8), 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. Proceedings of the
Parallel Problem Solving from Nature — PPSN XIII. Vol 8672. Lecture Notes
in Computer Science. Springer; 2014:141–150. doi:10.1007/978-3-319-10762-2_14'
apa: Wessing, S., Preuss, M., & Trautmann, H. (2014). Stopping Criteria for
Multimodal Optimization. In T. Bartz-Beielstein, J. Branke, B. Filipic, &
J. Smith (Eds.), Proceedings of the Parallel Problem Solving from Nature —
PPSN XIII (Vol. 8672, pp. 141–150). Springer. https://doi.org/10.1007/978-3-319-10762-2_14
bibtex: '@inproceedings{Wessing_Preuss_Trautmann_2014, place={Ljubljana, Slovenia},
series={Lecture Notes in Computer Science}, title={Stopping Criteria for Multimodal
Optimization}, volume={8672}, DOI={10.1007/978-3-319-10762-2_14},
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 Proceedings of the Parallel Problem Solving from Nature —
PPSN XIII, edited by T Bartz-Beielstein, J Branke, B Filipic, and J Smith,
8672:141–150. Lecture Notes in Computer Science. Ljubljana, Slovenia: Springer,
2014. https://doi.org/10.1007/978-3-319-10762-2_14.'
ieee: 'S. Wessing, M. Preuss, and H. Trautmann, “Stopping Criteria for Multimodal
Optimization,” in Proceedings of the Parallel Problem Solving from Nature —
PPSN XIII, 2014, vol. 8672, pp. 141–150, doi: 10.1007/978-3-319-10762-2_14.'
mla: Wessing, S., et al. “Stopping Criteria for Multimodal Optimization.” Proceedings
of the Parallel Problem Solving from Nature — PPSN XIII, edited by T Bartz-Beielstein
et al., vol. 8672, Springer, 2014, pp. 141–150, doi:10.1007/978-3-319-10762-2_14.
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. EVOLVE — A Bridge between Probability, Set
Oriented Numerics, and Evolutionary Computation IV. Vol 227. Advances in Intelligent
Systems and Computing. Springer International Publishing; 2013:189–205. doi:10.1007/978-3-319-01128-8_13'
apa: Sosa, H. V., Schütze, O., Rudolph, G., & 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, & C. Coello (Eds.), EVOLVE — A Bridge between Probability, Set
Oriented Numerics, and Evolutionary Computation IV (Vol. 227, pp. 189–205).
Springer International Publishing. https://doi.org/10.1007/978-3-319-01128-8_13
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={10.1007/978-3-319-01128-8_13},
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 EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
Computation IV, 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. https://doi.org/10.1007/978-3-319-01128-8_13.
ieee: H. V. Sosa, O. Schütze, G. Rudolph, and H. Trautmann, “The Directed Search
Method for Pareto Front Approximations with Maximum Dominated Hypervolume,” in
EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary
Computation IV, 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.” EVOLVE — A Bridge between Probability,
Set Oriented Numerics, and Evolutionary Computation IV, edited by M Emmerich
et al., vol. 227, Springer International Publishing, 2013, pp. 189–205, doi:10.1007/978-3-319-01128-8_13.
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. EVOLVE — A Bridge between Probability, Set Oriented
Numerics, and Evolutionary Computation II. Vol 175. Advances in Intelligent
Systems and Computing. Springer Berlin Heidelberg; 2013:89–105. doi:10.1007/978-3-642-31519-0_6'
apa: Trautmann, H., Rudolph, G., Dominguez-Medina, C., & 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, &
P. Legrand (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics,
and Evolutionary Computation II (Vol. 175, pp. 89–105). Springer Berlin Heidelberg.
https://doi.org/10.1007/978-3-642-31519-0_6
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={10.1007/978-3-642-31519-0_6},
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 EVOLVE
— A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
II, 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. https://doi.org/10.1007/978-3-642-31519-0_6.
ieee: H. Trautmann, G. Rudolph, C. Dominguez-Medina, and O. Schütze, “Finding Evenly
Spaced Pareto Fronts for Three-Objective Optimization Problems,” in EVOLVE
— A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation
II, 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.” EVOLVE — A Bridge between Probability, Set Oriented
Numerics, and Evolutionary Computation II, edited by O Schütze et al., vol.
175, Springer Berlin Heidelberg, 2013, pp. 89–105, doi:10.1007/978-3-642-31519-0_6.
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: Proceedings of the Twelfth Workshop on Foundations of Genetic
Algorithms XII. FOGA XII ’13. Association for Computing Machinery; 2013:147–160.
doi:10.1145/2460239.2460253'
apa: Nallaperuma, S., Wagner, M., Neumann, F., Bischl, B., Mersmann, O., & Trautmann,
H. (2013). A Feature-Based Comparison of Local Search and the Christofides Algorithm
for the Travelling Salesperson Problem. Proceedings of the Twelfth Workshop
on Foundations of Genetic Algorithms XII, 147–160. https://doi.org/10.1145/2460239.2460253
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={10.1145/2460239.2460253},
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 Proceedings
of the Twelfth Workshop on Foundations of Genetic Algorithms XII, 147–160.
FOGA XII ’13. New York, NY, USA: Association for Computing Machinery, 2013. https://doi.org/10.1145/2460239.2460253.'
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 Proceedings of the Twelfth Workshop
on Foundations of Genetic Algorithms XII, 2013, pp. 147–160, doi: 10.1145/2460239.2460253.'
mla: Nallaperuma, Samadhi, et al. “A Feature-Based Comparison of Local Search and
the Christofides Algorithm for the Travelling Salesperson Problem.” Proceedings
of the Twelfth Workshop on Foundations of Genetic Algorithms XII, Association
for Computing Machinery, 2013, pp. 147–160, doi:10.1145/2460239.2460253.
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. Evolutionary Multi-Criterion
Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings.
Vol 7811. Lecture Notes in Computer Science. Springer; 2013:443–458. doi:https://doi.org/10.1007/978-3-642-37140-0_34'
apa: Rudolph, G., Trautmann, H., Sengupta, S., & Schütze, O. (2013). Evenly
Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation.
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 (Vol. 7811, pp. 443–458). Springer. https://doi.org/10.1007/978-3-642-37140-0_34
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={https://doi.org/10.1007/978-3-642-37140-0_34},
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 Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference,
EMO 2013, Sheffield, UK, Proceedings, edited by RC Purshouse, PJ Fleming,
CM Fonseca, S Greco, and J Shaw, 7811:443–458. Lecture Notes in Computer Science.
Springer, 2013. https://doi.org/10.1007/978-3-642-37140-0_34.
ieee: 'G. Rudolph, H. Trautmann, S. Sengupta, and O. Schütze, “Evenly Spaced Pareto
Front Approximations for Tricriteria Problems Based on Triangulation,” in Evolutionary
Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield,
UK, Proceedings, 2013, vol. 7811, pp. 443–458, doi: https://doi.org/10.1007/978-3-642-37140-0_34.'
mla: Rudolph, G., et al. “Evenly Spaced Pareto Front Approximations for Tricriteria
Problems Based on Triangulation.” Evolutionary Multi-Criterion Optimization
— 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, edited
by RC Purshouse et al., vol. 7811, Springer, 2013, pp. 443–458, doi:https://doi.org/10.1007/978-3-642-37140-0_34.
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'
...
---
_id: '46391'
abstract:
- lang: eng
text: Indicator based evolutionary algorithms have caught the interest of many researchers
for the treatment of multi-objective optimization problems in the recent past
since they deliver the desired approximation of the solution set and due to a
usually better performance compared to dominance based algorithms. Nevertheless,
these methods still suffer the drawback that many function evaluations are required
to obtain a suitable representation of the solution set. The aim of this study
is to present the Directed Search (DS) Method as local searcher within global
indicator based optimization algorithms. For this, we will present the DS in the
context of hypervolume maximization leading to both a new local search algorithm
and a new memetic algorithm. Further, we will present first attempts to adapt
the DS to a class of parameter dependent problems.
author:
- first_name: VA
full_name: Sosa-Hernandez, VA
last_name: Sosa-Hernandez
- first_name: O
full_name: Schütze, O
last_name: Schütze
- first_name: G
full_name: Rudoph, G
last_name: Rudoph
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
citation:
ama: 'Sosa-Hernandez V, Schütze O, Rudoph G, Trautmann H. Directed Search Method
for Indicator-based Multi-objective Evolutionary Algorithms. In: Proceeding
of the Fifteenth Annual Conference Companion on Genetic and Evolutionary Computation
Conference Companion. GECCO ’13 Companion. ACM; 2013:1699–1702. doi:10.1145/2464576.2482756'
apa: Sosa-Hernandez, V., Schütze, O., Rudoph, G., & Trautmann, H. (2013). Directed
Search Method for Indicator-based Multi-objective Evolutionary Algorithms. Proceeding
of the Fifteenth Annual Conference Companion on Genetic and Evolutionary Computation
Conference Companion, 1699–1702. https://doi.org/10.1145/2464576.2482756
bibtex: '@inproceedings{Sosa-Hernandez_Schütze_Rudoph_Trautmann_2013, place={New
York, NY, USA}, series={GECCO ’13 Companion}, title={Directed Search Method for
Indicator-based Multi-objective Evolutionary Algorithms}, DOI={10.1145/2464576.2482756},
booktitle={Proceeding of the Fifteenth Annual Conference Companion on Genetic
and Evolutionary Computation Conference Companion}, publisher={ACM}, author={Sosa-Hernandez,
VA and Schütze, O and Rudoph, G and Trautmann, Heike}, year={2013}, pages={1699–1702},
collection={GECCO ’13 Companion} }'
chicago: 'Sosa-Hernandez, VA, O Schütze, G Rudoph, and Heike Trautmann. “Directed
Search Method for Indicator-Based Multi-Objective Evolutionary Algorithms.” In
Proceeding of the Fifteenth Annual Conference Companion on Genetic and Evolutionary
Computation Conference Companion, 1699–1702. GECCO ’13 Companion. New York,
NY, USA: ACM, 2013. https://doi.org/10.1145/2464576.2482756.'
ieee: 'V. Sosa-Hernandez, O. Schütze, G. Rudoph, and H. Trautmann, “Directed Search
Method for Indicator-based Multi-objective Evolutionary Algorithms,” in Proceeding
of the Fifteenth Annual Conference Companion on Genetic and Evolutionary Computation
Conference Companion, 2013, pp. 1699–1702, doi: 10.1145/2464576.2482756.'
mla: Sosa-Hernandez, VA, et al. “Directed Search Method for Indicator-Based Multi-Objective
Evolutionary Algorithms.” Proceeding of the Fifteenth Annual Conference Companion
on Genetic and Evolutionary Computation Conference Companion, ACM, 2013, pp.
1699–1702, doi:10.1145/2464576.2482756.
short: 'V. Sosa-Hernandez, O. Schütze, G. Rudoph, H. Trautmann, in: Proceeding of
the Fifteenth Annual Conference Companion on Genetic and Evolutionary Computation
Conference Companion, ACM, New York, NY, USA, 2013, pp. 1699–1702.'
date_created: 2023-08-04T15:45:26Z
date_updated: 2023-10-16T13:46:54Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2464576.2482756
language:
- iso: eng
page: 1699–1702
place: New York, NY, USA
publication: Proceeding of the Fifteenth Annual Conference Companion on Genetic and
Evolutionary Computation Conference Companion
publisher: ACM
series_title: GECCO ’13 Companion
status: public
title: Directed Search Method for Indicator-based Multi-objective Evolutionary Algorithms
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '46387'
abstract:
- lang: eng
text: Here we address the problem of computing finite size Hausdorff approximations
of the Pareto front of four-objective optimization problems by means of evolutionary
computing. Since many applications desire an approximation evenly spread along
the Pareto front and approximations that are good in the Hausdorff sense are typically
evenly spread along the Pareto front we consider three different evolutionary
multi-objective algorithms tailored to that purpose, where two of them are based
on the Part and Selection Algorithm (PSA). Finally, we present some numerical
results indicating the strength of the novel methods.
author:
- first_name: C
full_name: Dominguez-Medina, C
last_name: Dominguez-Medina
- first_name: G
full_name: Rudolph, G
last_name: Rudolph
- first_name: O
full_name: Schütze, O
last_name: Schütze
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
citation:
ama: 'Dominguez-Medina C, Rudolph G, Schütze O, Trautmann H. Evenly spaced Pareto
fronts of quad-objective problems using PSA partitioning technique. In: Proceedings
of the 2013 IEEE Congress on Evolutionary Computation (CEC). ; 2013:3190–3197.
doi:https://doi.org/10.1109/CEC.2013.6557960'
apa: Dominguez-Medina, C., Rudolph, G., Schütze, O., & Trautmann, H. (2013).
Evenly spaced Pareto fronts of quad-objective problems using PSA partitioning
technique. Proceedings of the 2013 IEEE Congress on Evolutionary Computation
(CEC), 3190–3197. https://doi.org/10.1109/CEC.2013.6557960
bibtex: '@inproceedings{Dominguez-Medina_Rudolph_Schütze_Trautmann_2013, place={Cancun,
Mexico}, title={Evenly spaced Pareto fronts of quad-objective problems using PSA
partitioning technique}, DOI={https://doi.org/10.1109/CEC.2013.6557960},
booktitle={Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)},
author={Dominguez-Medina, C and Rudolph, G and Schütze, O and Trautmann, Heike},
year={2013}, pages={3190–3197} }'
chicago: Dominguez-Medina, C, G Rudolph, O Schütze, and Heike Trautmann. “Evenly
Spaced Pareto Fronts of Quad-Objective Problems Using PSA Partitioning Technique.”
In Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC),
3190–3197. Cancun, Mexico, 2013. https://doi.org/10.1109/CEC.2013.6557960.
ieee: 'C. Dominguez-Medina, G. Rudolph, O. Schütze, and H. Trautmann, “Evenly spaced
Pareto fronts of quad-objective problems using PSA partitioning technique,” in
Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC),
2013, pp. 3190–3197, doi: https://doi.org/10.1109/CEC.2013.6557960.'
mla: Dominguez-Medina, C., et al. “Evenly Spaced Pareto Fronts of Quad-Objective
Problems Using PSA Partitioning Technique.” Proceedings of the 2013 IEEE Congress
on Evolutionary Computation (CEC), 2013, pp. 3190–3197, doi:https://doi.org/10.1109/CEC.2013.6557960.
short: 'C. Dominguez-Medina, G. Rudolph, O. Schütze, H. Trautmann, in: Proceedings
of the 2013 IEEE Congress on Evolutionary Computation (CEC), Cancun, Mexico, 2013,
pp. 3190–3197.'
date_created: 2023-08-04T15:40:15Z
date_updated: 2023-10-16T13:45:34Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1109/CEC.2013.6557960
language:
- iso: eng
page: 3190–3197
place: Cancun, Mexico
publication: Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)
status: public
title: Evenly spaced Pareto fronts of quad-objective problems using PSA partitioning
technique
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '46389'
abstract:
- lang: eng
text: Current StarCraft bots are not very flexible in their strategy choice, most
of them just follow a manually optimized one, usually a rush. We suggest a method
of augmenting existing bots via Fuzzy Control in order to make them react on the
current game situation. According to the available information, the best matching
of a pool of strategies is chosen. While the method is very general and can be
applied easily to many bots, we implement it for the existing BTHAI bot and show
experimentally how the modifications affects its gameplay, and how it is improved
compared to the original version.
author:
- first_name: Mike
full_name: Preuss, Mike
last_name: Preuss
- first_name: Daniel
full_name: Kozakowski, Daniel
last_name: Kozakowski
- first_name: Johan
full_name: Hagelbäck, Johan
last_name: Hagelbäck
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
citation:
ama: 'Preuss M, Kozakowski D, Hagelbäck J, Trautmann H. Reactive strategy choice
in StarCraft by means of Fuzzy Control. In: 2013 IEEE Conference on Computational
Inteligence in Games (CIG). ; 2013:1-8. doi:10.1109/CIG.2013.6633627'
apa: Preuss, M., Kozakowski, D., Hagelbäck, J., & Trautmann, H. (2013). Reactive
strategy choice in StarCraft by means of Fuzzy Control. 2013 IEEE Conference
on Computational Inteligence in Games (CIG), 1–8. https://doi.org/10.1109/CIG.2013.6633627
bibtex: '@inproceedings{Preuss_Kozakowski_Hagelbäck_Trautmann_2013, title={Reactive
strategy choice in StarCraft by means of Fuzzy Control}, DOI={10.1109/CIG.2013.6633627},
booktitle={2013 IEEE Conference on Computational Inteligence in Games (CIG)},
author={Preuss, Mike and Kozakowski, Daniel and Hagelbäck, Johan and Trautmann,
Heike}, year={2013}, pages={1–8} }'
chicago: Preuss, Mike, Daniel Kozakowski, Johan Hagelbäck, and Heike Trautmann.
“Reactive Strategy Choice in StarCraft by Means of Fuzzy Control.” In 2013
IEEE Conference on Computational Inteligence in Games (CIG), 1–8, 2013. https://doi.org/10.1109/CIG.2013.6633627.
ieee: 'M. Preuss, D. Kozakowski, J. Hagelbäck, and H. Trautmann, “Reactive strategy
choice in StarCraft by means of Fuzzy Control,” in 2013 IEEE Conference on
Computational Inteligence in Games (CIG), 2013, pp. 1–8, doi: 10.1109/CIG.2013.6633627.'
mla: Preuss, Mike, et al. “Reactive Strategy Choice in StarCraft by Means of Fuzzy
Control.” 2013 IEEE Conference on Computational Inteligence in Games (CIG),
2013, pp. 1–8, doi:10.1109/CIG.2013.6633627.
short: 'M. Preuss, D. Kozakowski, J. Hagelbäck, H. Trautmann, in: 2013 IEEE Conference
on Computational Inteligence in Games (CIG), 2013, pp. 1–8.'
date_created: 2023-08-04T15:42:58Z
date_updated: 2023-10-16T13:46:13Z
department:
- _id: '34'
- _id: '819'
doi: 10.1109/CIG.2013.6633627
language:
- iso: eng
page: 1-8
publication: 2013 IEEE Conference on Computational Inteligence in Games (CIG)
status: public
title: Reactive strategy choice in StarCraft by means of Fuzzy Control
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '46395'
abstract:
- lang: eng
text: In multiobjective optimization, the identification of practically relevant
solutions on the Pareto-optimal front is an important research topic. Desirability
functions (DFs) allow the preferences of the decision maker to be specified in
an intuitive way. Recently, it has been shown for continuous optimization problems
that an a priori transformation of the objectives by means of DFs can be used
to focus the search of a hypervolume-based evolutionary algorithm on the desired
part of the front. In many-objective optimization, however, the computational
complexity of the hypervolume can become a crucial part. Thus, an alternative
to this approach will be presented in this paper. The new algorithm operates in
the untransformed objective space, but the desirability index (DI), that is, a
DF-based scalarization, will be used as the second-level selection criterion in
the non-dominated sorting. The diversity and uniform distribution of the resulting
approximation are ensured by the use of an external archive. In the experiments,
different preferences are specified as DFs, and their effects are investigated.
It is shown that trade-off solutions are generated in the desired regions of the
Pareto-optimal front and with a density adaptive to the DI. The efficiency of
the approach with respect to increasing objective space dimension is also analysed
using scalable test functions. The convergence speed is superior to other set-based
and preference-based evolutionary multiobjective algorithms while the approach
is of low computational complexity due to cheap DI evaluations. Copyright © 2013
John Wiley & Sons, Ltd.
author:
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: T
full_name: Wagner, T
last_name: Wagner
- first_name: D
full_name: Biermann, D
last_name: Biermann
- first_name: C
full_name: Weihs, C
last_name: Weihs
citation:
ama: Trautmann H, Wagner T, Biermann D, Weihs C. Indicator-based Selection in Evolutionary
Multiobjective Optimization Algorithms Based On the Desirability Index. Journal
of Multi-Criteria Decision Analysis. 2013;20(5-6):319–337. doi:https://doi.org/10.1002/mcda.1503
apa: Trautmann, H., Wagner, T., Biermann, D., & Weihs, C. (2013). Indicator-based
Selection in Evolutionary Multiobjective Optimization Algorithms Based On the
Desirability Index. Journal of Multi-Criteria Decision Analysis, 20(5–6),
319–337. https://doi.org/10.1002/mcda.1503
bibtex: '@article{Trautmann_Wagner_Biermann_Weihs_2013, title={Indicator-based Selection
in Evolutionary Multiobjective Optimization Algorithms Based On the Desirability
Index}, volume={20}, DOI={https://doi.org/10.1002/mcda.1503},
number={5–6}, journal={Journal of Multi-Criteria Decision Analysis}, author={Trautmann,
Heike and Wagner, T and Biermann, D and Weihs, C}, year={2013}, pages={319–337}
}'
chicago: 'Trautmann, Heike, T Wagner, D Biermann, and C Weihs. “Indicator-Based
Selection in Evolutionary Multiobjective Optimization Algorithms Based On the
Desirability Index.” Journal of Multi-Criteria Decision Analysis 20, no.
5–6 (2013): 319–337. https://doi.org/10.1002/mcda.1503.'
ieee: 'H. Trautmann, T. Wagner, D. Biermann, and C. Weihs, “Indicator-based Selection
in Evolutionary Multiobjective Optimization Algorithms Based On the Desirability
Index,” Journal of Multi-Criteria Decision Analysis, vol. 20, no. 5–6,
pp. 319–337, 2013, doi: https://doi.org/10.1002/mcda.1503.'
mla: Trautmann, Heike, et al. “Indicator-Based Selection in Evolutionary Multiobjective
Optimization Algorithms Based On the Desirability Index.” Journal of Multi-Criteria
Decision Analysis, vol. 20, no. 5–6, 2013, pp. 319–337, doi:https://doi.org/10.1002/mcda.1503.
short: H. Trautmann, T. Wagner, D. Biermann, C. Weihs, Journal of Multi-Criteria
Decision Analysis 20 (2013) 319–337.
date_created: 2023-08-04T15:50:03Z
date_updated: 2023-10-16T13:48:31Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1002/mcda.1503
intvolume: ' 20'
issue: 5-6
language:
- iso: eng
page: 319–337
publication: Journal of Multi-Criteria Decision Analysis
status: public
title: Indicator-based Selection in Evolutionary Multiobjective Optimization Algorithms
Based On the Desirability Index
type: journal_article
user_id: '15504'
volume: 20
year: '2013'
...
---
_id: '46393'
abstract:
- lang: eng
text: In multi-objective optimization, set-based performance indicators have become
the state of the art for assessing the quality of Pareto front approximations.
As a consequence, they are also more and more used within the design of multi-objective
optimization algorithms. The R2 and the Hypervolume (HV) indicator represent two
popular examples. In order to understand the behavior and the approximations preferred
by these indicators and algorithms, a comprehensive knowledge of the indicator’s
properties is required. Whereas this knowledge is available for the HV, we presented
a first approach in this direction for the R2 indicator just recently. In this
paper, we build upon this knowledge and enhance the considerations with respect
to the integration of preferences into the R2 indicator. More specifically, we
analyze the effect of the reference point, the domain of the weights, and the
distribution of weight vectors on the optimization of $\mu$ solutions with respect
to the R2 indicator. By means of theoretical findings and empirical evidence,
we show the potentials of these three possibilities using the optimal distribution
of $\mu$ solutions for exemplary setups.
author:
- first_name: Tobias
full_name: Wagner, Tobias
last_name: Wagner
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: Dimo
full_name: Brockhoff, Dimo
last_name: Brockhoff
citation:
ama: 'Wagner T, Trautmann H, Brockhoff D. Preference Articulation by Means of the
R2 Indicator. In: Purshouse RC, Fleming PJ, Fonseca CM, Greco S, Shaw J, eds.
Evolutionary Multi-Criterion Optimization. Springer Berlin Heidelberg;
2013:81–95.'
apa: Wagner, T., Trautmann, H., & Brockhoff, D. (2013). Preference Articulation
by Means of the R2 Indicator. In R. C. Purshouse, P. J. Fleming, C. M. Fonseca,
S. Greco, & J. Shaw (Eds.), Evolutionary Multi-Criterion Optimization
(pp. 81–95). Springer Berlin Heidelberg.
bibtex: '@inproceedings{Wagner_Trautmann_Brockhoff_2013, place={Berlin, Heidelberg},
title={Preference Articulation by Means of the R2 Indicator}, booktitle={Evolutionary
Multi-Criterion Optimization}, publisher={Springer Berlin Heidelberg}, author={Wagner,
Tobias and Trautmann, Heike and Brockhoff, Dimo}, editor={Purshouse, Robin C.
and Fleming, Peter J. and Fonseca, Carlos M. and Greco, Salvatore and Shaw, Jane},
year={2013}, pages={81–95} }'
chicago: 'Wagner, Tobias, Heike Trautmann, and Dimo Brockhoff. “Preference Articulation
by Means of the R2 Indicator.” In Evolutionary Multi-Criterion Optimization,
edited by Robin C. Purshouse, Peter J. Fleming, Carlos M. Fonseca, Salvatore Greco,
and Jane Shaw, 81–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.'
ieee: T. Wagner, H. Trautmann, and D. Brockhoff, “Preference Articulation by Means
of the R2 Indicator,” in Evolutionary Multi-Criterion Optimization, 2013,
pp. 81–95.
mla: Wagner, Tobias, et al. “Preference Articulation by Means of the R2 Indicator.”
Evolutionary Multi-Criterion Optimization, edited by Robin C. Purshouse
et al., Springer Berlin Heidelberg, 2013, pp. 81–95.
short: 'T. Wagner, H. Trautmann, D. Brockhoff, in: R.C. Purshouse, P.J. Fleming,
C.M. Fonseca, S. Greco, J. Shaw (Eds.), Evolutionary Multi-Criterion Optimization,
Springer Berlin Heidelberg, Berlin, Heidelberg, 2013, pp. 81–95.'
date_created: 2023-08-04T15:47:49Z
date_updated: 2023-10-16T13:47:58Z
department:
- _id: '34'
- _id: '819'
editor:
- first_name: Robin C.
full_name: Purshouse, Robin C.
last_name: Purshouse
- first_name: Peter J.
full_name: Fleming, Peter J.
last_name: Fleming
- first_name: Carlos M.
full_name: Fonseca, Carlos M.
last_name: Fonseca
- first_name: Salvatore
full_name: Greco, Salvatore
last_name: Greco
- first_name: Jane
full_name: Shaw, Jane
last_name: Shaw
language:
- iso: eng
page: 81–95
place: Berlin, Heidelberg
publication: Evolutionary Multi-Criterion Optimization
publication_identifier:
isbn:
- 978-3-642-37140-0
publisher: Springer Berlin Heidelberg
status: public
title: Preference Articulation by Means of the R2 Indicator
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '46392'
abstract:
- lang: eng
text: An indicator-based evolutionary multiobjective optimization algorithm (EMOA)
is introduced which incorporates the contribution to the unary R2-indicator as
the secondary selection criterion. First experiments indicate that the R2-EMOA
accurately approximates the Pareto front of the considered continuous multiobjective
optimization problems. Furthermore, decision makers’ preferences can be included
by adjusting the weight vector distributions of the indicator which results in
a focused search behavior.
author:
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: Tobias
full_name: Wagner, Tobias
last_name: Wagner
- first_name: Dimo
full_name: Brockhoff, Dimo
last_name: Brockhoff
citation:
ama: 'Trautmann H, Wagner T, Brockhoff D. R2-EMOA: Focused Multiobjective Search
Using R2-Indicator-Based Selection. In: Nicosia G, Pardalos P, eds. Learning
and Intelligent Optimization. Springer Berlin Heidelberg; 2013:70–74.'
apa: 'Trautmann, H., Wagner, T., & Brockhoff, D. (2013). R2-EMOA: Focused Multiobjective
Search Using R2-Indicator-Based Selection. In G. Nicosia & P. Pardalos (Eds.),
Learning and Intelligent Optimization (pp. 70–74). Springer Berlin Heidelberg.'
bibtex: '@inproceedings{Trautmann_Wagner_Brockhoff_2013, place={Berlin, Heidelberg},
title={R2-EMOA: Focused Multiobjective Search Using R2-Indicator-Based Selection},
booktitle={Learning and Intelligent Optimization}, publisher={Springer Berlin
Heidelberg}, author={Trautmann, Heike and Wagner, Tobias and Brockhoff, Dimo},
editor={Nicosia, Giuseppe and Pardalos, Panos}, year={2013}, pages={70–74} }'
chicago: 'Trautmann, Heike, Tobias Wagner, and Dimo Brockhoff. “R2-EMOA: Focused
Multiobjective Search Using R2-Indicator-Based Selection.” In Learning and
Intelligent Optimization, edited by Giuseppe Nicosia and Panos Pardalos, 70–74.
Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.'
ieee: 'H. Trautmann, T. Wagner, and D. Brockhoff, “R2-EMOA: Focused Multiobjective
Search Using R2-Indicator-Based Selection,” in Learning and Intelligent Optimization,
2013, pp. 70–74.'
mla: 'Trautmann, Heike, et al. “R2-EMOA: Focused Multiobjective Search Using R2-Indicator-Based
Selection.” Learning and Intelligent Optimization, edited by Giuseppe Nicosia
and Panos Pardalos, Springer Berlin Heidelberg, 2013, pp. 70–74.'
short: 'H. Trautmann, T. Wagner, D. Brockhoff, in: G. Nicosia, P. Pardalos (Eds.),
Learning and Intelligent Optimization, Springer Berlin Heidelberg, Berlin, Heidelberg,
2013, pp. 70–74.'
date_created: 2023-08-04T15:47:00Z
date_updated: 2023-10-16T13:47:41Z
department:
- _id: '34'
- _id: '819'
editor:
- first_name: Giuseppe
full_name: Nicosia, Giuseppe
last_name: Nicosia
- first_name: Panos
full_name: Pardalos, Panos
last_name: Pardalos
language:
- iso: eng
page: 70–74
place: Berlin, Heidelberg
publication: Learning and Intelligent Optimization
publication_identifier:
isbn:
- 978-3-642-44973-4
publisher: Springer Berlin Heidelberg
status: public
title: 'R2-EMOA: Focused Multiobjective Search Using R2-Indicator-Based Selection'
type: conference
user_id: '15504'
year: '2013'
...
---
_id: '48889'
abstract:
- lang: eng
text: Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization
problems. With this paper we contribute to the understanding of the success of
2-opt based local search algorithms for solving the traveling salesperson problem
(TSP). Although 2-opt is widely used in practice, it is hard to understand its
success from a theoretical perspective. We take a statistical approach and examine
the features of TSP instances that make the problem either hard or easy to solve.
As a measure of problem difficulty for 2-opt we use the approximation ratio that
it achieves on a given instance. Our investigations point out important features
that make TSP instances hard or easy to be approximated by 2-opt.
author:
- first_name: Olaf
full_name: Mersmann, Olaf
last_name: Mersmann
- first_name: Bernd
full_name: Bischl, Bernd
last_name: Bischl
- first_name: Heike
full_name: Trautmann, Heike
last_name: Trautmann
- first_name: Markus
full_name: Wagner, Markus
last_name: Wagner
- first_name: Jakob
full_name: Bossek, Jakob
id: '102979'
last_name: Bossek
orcid: 0000-0002-4121-4668
- first_name: Frank
full_name: Neumann, Frank
last_name: Neumann
citation:
ama: Mersmann O, Bischl B, Trautmann H, Wagner M, Bossek J, Neumann F. A Novel Feature-Based
Approach to Characterize Algorithm Performance for the Traveling Salesperson Problem.
Annals of Mathematics and Artificial Intelligence. 2013;69(2):151–182.
doi:10.1007/s10472-013-9341-2
apa: Mersmann, O., Bischl, B., Trautmann, H., Wagner, M., Bossek, J., & Neumann,
F. (2013). A Novel Feature-Based Approach to Characterize Algorithm Performance
for the Traveling Salesperson Problem. Annals of Mathematics and Artificial
Intelligence, 69(2), 151–182. https://doi.org/10.1007/s10472-013-9341-2
bibtex: '@article{Mersmann_Bischl_Trautmann_Wagner_Bossek_Neumann_2013, title={A
Novel Feature-Based Approach to Characterize Algorithm Performance for the Traveling
Salesperson Problem}, volume={69}, DOI={10.1007/s10472-013-9341-2},
number={2}, journal={Annals of Mathematics and Artificial Intelligence}, author={Mersmann,
Olaf and Bischl, Bernd and Trautmann, Heike and Wagner, Markus and Bossek, Jakob
and Neumann, Frank}, year={2013}, pages={151–182} }'
chicago: 'Mersmann, Olaf, Bernd Bischl, Heike Trautmann, Markus Wagner, Jakob Bossek,
and Frank Neumann. “A Novel Feature-Based Approach to Characterize Algorithm Performance
for the Traveling Salesperson Problem.” Annals of Mathematics and Artificial
Intelligence 69, no. 2 (2013): 151–182. https://doi.org/10.1007/s10472-013-9341-2.'
ieee: 'O. Mersmann, B. Bischl, H. Trautmann, M. Wagner, J. Bossek, and F. Neumann,
“A Novel Feature-Based Approach to Characterize Algorithm Performance for the
Traveling Salesperson Problem,” Annals of Mathematics and Artificial Intelligence,
vol. 69, no. 2, pp. 151–182, 2013, doi: 10.1007/s10472-013-9341-2.'
mla: Mersmann, Olaf, et al. “A Novel Feature-Based Approach to Characterize Algorithm
Performance for the Traveling Salesperson Problem.” Annals of Mathematics and
Artificial Intelligence, vol. 69, no. 2, 2013, pp. 151–182, doi:10.1007/s10472-013-9341-2.
short: O. Mersmann, B. Bischl, H. Trautmann, M. Wagner, J. Bossek, F. Neumann, Annals
of Mathematics and Artificial Intelligence 69 (2013) 151–182.
date_created: 2023-11-14T15:58:59Z
date_updated: 2023-12-13T10:50:41Z
department:
- _id: '819'
doi: 10.1007/s10472-013-9341-2
intvolume: ' 69'
issue: '2'
keyword:
- 2-opt
- 90B06
- Classification
- Feature selection
- MARS
- TSP
language:
- iso: eng
page: 151–182
publication: Annals of Mathematics and Artificial Intelligence
publication_identifier:
issn:
- 1012-2443
status: public
title: A Novel Feature-Based Approach to Characterize Algorithm Performance for the
Traveling Salesperson Problem
type: journal_article
user_id: '102979'
volume: 69
year: '2013'
...
---
_id: '46394'
abstract:
- lang: eng
text: Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization
problems. With this paper we contribute to the understanding of the success of
2-opt based local search algorithms for solving the traveling salesperson problem
(TSP). Although 2-opt is widely used in practice, it is hard to understand its
success from a theoretical perspective. We take a statistical approach and examine
the features of TSP instances that make the problem either hard or easy to solve.
As a measure of problem difficulty for 2-opt we use the approximation ratio that
it achieves on a given instance. Our investigations point out important features
that make TSP instances hard or easy to be approximated by 2-opt.
author:
- first_name: O
full_name: Mersmann, O
last_name: Mersmann
- first_name: B
full_name: Bischl, B
last_name: Bischl
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: M
full_name: Wagner, M
last_name: Wagner
- first_name: Jakob
full_name: Bossek, Jakob
id: '102979'
last_name: Bossek
orcid: 0000-0002-4121-4668
- first_name: F
full_name: Neumann, F
last_name: Neumann
citation:
ama: Mersmann O, Bischl B, Trautmann H, Wagner M, Bossek J, Neumann F. A Novel Feature-Based
Approach to Characterize Algorithm Performance for the Traveling Salesman Problem.
Annals of Mathematics and Artificial Intelligence. 2013;69:151–182.
apa: Mersmann, O., Bischl, B., Trautmann, H., Wagner, M., Bossek, J., & Neumann,
F. (2013). A Novel Feature-Based Approach to Characterize Algorithm Performance
for the Traveling Salesman Problem. Annals of Mathematics and Artificial Intelligence,
69, 151–182.
bibtex: '@article{Mersmann_Bischl_Trautmann_Wagner_Bossek_Neumann_2013, title={A
Novel Feature-Based Approach to Characterize Algorithm Performance for the Traveling
Salesman Problem}, volume={69}, journal={Annals of Mathematics and Artificial
Intelligence}, author={Mersmann, O and Bischl, B and Trautmann, Heike and Wagner,
M and Bossek, Jakob and Neumann, F}, year={2013}, pages={151–182} }'
chicago: 'Mersmann, O, B Bischl, Heike Trautmann, M Wagner, Jakob Bossek, and F
Neumann. “A Novel Feature-Based Approach to Characterize Algorithm Performance
for the Traveling Salesman Problem.” Annals of Mathematics and Artificial Intelligence
69 (2013): 151–182.'
ieee: O. Mersmann, B. Bischl, H. Trautmann, M. Wagner, J. Bossek, and F. Neumann,
“A Novel Feature-Based Approach to Characterize Algorithm Performance for the
Traveling Salesman Problem,” Annals of Mathematics and Artificial Intelligence,
vol. 69, pp. 151–182, 2013.
mla: Mersmann, O., et al. “A Novel Feature-Based Approach to Characterize Algorithm
Performance for the Traveling Salesman Problem.” Annals of Mathematics and
Artificial Intelligence, vol. 69, 2013, pp. 151–182.
short: O. Mersmann, B. Bischl, H. Trautmann, M. Wagner, J. Bossek, F. Neumann, Annals
of Mathematics and Artificial Intelligence 69 (2013) 151–182.
date_created: 2023-08-04T15:48:57Z
date_updated: 2024-06-10T11:57:43Z
department:
- _id: '34'
- _id: '819'
intvolume: ' 69'
language:
- iso: eng
page: 151–182
publication: Annals of Mathematics and Artificial Intelligence
status: public
title: A Novel Feature-Based Approach to Characterize Algorithm Performance for the
Traveling Salesman Problem
type: journal_article
user_id: '15504'
volume: 69
year: '2013'
...
---
_id: '46397'
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 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.
author:
- first_name: Dimo
full_name: Brockhoff, Dimo
last_name: Brockhoff
- first_name: Tobias
full_name: Wagner, Tobias
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. On the Properties of the R2 Indicator.
In: Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation.
GECCO ’12. Association for Computing Machinery; 2012:465–472. doi:10.1145/2330163.2330230'
apa: Brockhoff, D., Wagner, T., & Trautmann, H. (2012). On the Properties of
the R2 Indicator. Proceedings of the 14th Annual Conference on Genetic and
Evolutionary Computation, 465–472. https://doi.org/10.1145/2330163.2330230
bibtex: '@inproceedings{Brockhoff_Wagner_Trautmann_2012, place={New York, NY, USA},
series={GECCO ’12}, title={On the Properties of the R2 Indicator}, DOI={10.1145/2330163.2330230},
booktitle={Proceedings of the 14th Annual Conference on Genetic and Evolutionary
Computation}, publisher={Association for Computing Machinery}, author={Brockhoff,
Dimo and Wagner, Tobias and Trautmann, Heike}, year={2012}, pages={465–472}, collection={GECCO
’12} }'
chicago: 'Brockhoff, Dimo, Tobias Wagner, and Heike Trautmann. “On the Properties
of the R2 Indicator.” In Proceedings of the 14th Annual Conference on Genetic
and Evolutionary Computation, 465–472. GECCO ’12. New York, NY, USA: Association
for Computing Machinery, 2012. https://doi.org/10.1145/2330163.2330230.'
ieee: 'D. Brockhoff, T. Wagner, and H. Trautmann, “On the Properties of the R2 Indicator,”
in Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation,
2012, pp. 465–472, doi: 10.1145/2330163.2330230.'
mla: Brockhoff, Dimo, et al. “On the Properties of the R2 Indicator.” Proceedings
of the 14th Annual Conference on Genetic and Evolutionary Computation, Association
for Computing Machinery, 2012, pp. 465–472, doi:10.1145/2330163.2330230.
short: 'D. Brockhoff, T. Wagner, H. Trautmann, in: Proceedings of the 14th Annual
Conference on Genetic and Evolutionary Computation, Association for Computing
Machinery, New York, NY, USA, 2012, pp. 465–472.'
date_created: 2023-08-04T15:52:42Z
date_updated: 2023-10-16T13:47:23Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2330163.2330230
keyword:
- hypervolume indicator
- multiobjective optimization
- performance assessment
- r2 indicator
language:
- iso: eng
page: 465–472
place: New York, NY, USA
publication: Proceedings of the 14th Annual Conference on Genetic and Evolutionary
Computation
publication_identifier:
isbn:
- '9781450311779'
publisher: Association for Computing Machinery
series_title: GECCO ’12
status: public
title: On the Properties of the R2 Indicator
type: conference
user_id: '15504'
year: '2012'
...
---
_id: '46396'
abstract:
- lang: eng
text: The steady supply of new optimization methods makes the algorithm selection
problem (ASP) an increasingly pressing and challenging task, specially for real-world
black-box optimization problems. The introduced approach considers the ASP as
a cost-sensitive classification task which is based on Exploratory Landscape Analysis.
Low-level features gathered by systematic sampling of the function on the feasible
set are used to predict a well-performing algorithm out of a given portfolio.
Example-specific label costs are defined by the expected runtime of each candidate
algorithm. We use one-sided support vector regression to solve this learning problem.
The approach is illustrated by means of the optimization problems and algorithms
of the BBOB’09/10 workshop.
author:
- 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
- first_name: Mike
full_name: Preuß, Mike
last_name: Preuß
citation:
ama: 'Bischl B, Mersmann O, Trautmann H, Preuß M. Algorithm Selection Based on Exploratory
Landscape Analysis and Cost-Sensitive Learning. In: Proceedings of the 14th
Annual Conference on Genetic and Evolutionary Computation. GECCO ’12. Association
for Computing Machinery; 2012:313–320. doi:10.1145/2330163.2330209'
apa: Bischl, B., Mersmann, O., Trautmann, H., & Preuß, M. (2012). Algorithm
Selection Based on Exploratory Landscape Analysis and Cost-Sensitive Learning.
Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation,
313–320. https://doi.org/10.1145/2330163.2330209
bibtex: '@inproceedings{Bischl_Mersmann_Trautmann_Preuß_2012, place={New York, NY,
USA}, series={GECCO ’12}, title={Algorithm Selection Based on Exploratory Landscape
Analysis and Cost-Sensitive Learning}, DOI={10.1145/2330163.2330209},
booktitle={Proceedings of the 14th Annual Conference on Genetic and Evolutionary
Computation}, publisher={Association for Computing Machinery}, author={Bischl,
Bernd and Mersmann, Olaf and Trautmann, Heike and Preuß, Mike}, year={2012}, pages={313–320},
collection={GECCO ’12} }'
chicago: 'Bischl, Bernd, Olaf Mersmann, Heike Trautmann, and Mike Preuß. “Algorithm
Selection Based on Exploratory Landscape Analysis and Cost-Sensitive Learning.”
In Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation,
313–320. GECCO ’12. New York, NY, USA: Association for Computing Machinery, 2012.
https://doi.org/10.1145/2330163.2330209.'
ieee: 'B. Bischl, O. Mersmann, H. Trautmann, and M. Preuß, “Algorithm Selection
Based on Exploratory Landscape Analysis and Cost-Sensitive Learning,” in Proceedings
of the 14th Annual Conference on Genetic and Evolutionary Computation, 2012,
pp. 313–320, doi: 10.1145/2330163.2330209.'
mla: Bischl, Bernd, et al. “Algorithm Selection Based on Exploratory Landscape Analysis
and Cost-Sensitive Learning.” Proceedings of the 14th Annual Conference on
Genetic and Evolutionary Computation, Association for Computing Machinery,
2012, pp. 313–320, doi:10.1145/2330163.2330209.
short: 'B. Bischl, O. Mersmann, H. Trautmann, M. Preuß, in: Proceedings of the 14th
Annual Conference on Genetic and Evolutionary Computation, Association for Computing
Machinery, New York, NY, USA, 2012, pp. 313–320.'
date_created: 2023-08-04T15:51:56Z
date_updated: 2023-10-16T13:48:48Z
department:
- _id: '34'
- _id: '819'
doi: 10.1145/2330163.2330209
keyword:
- machine learning
- exploratory landscape analysis
- fitness landscape
- benchmarking
- evolutionary optimization
- bbob test set
- algorithm selection
language:
- iso: eng
page: 313–320
place: New York, NY, USA
publication: Proceedings of the 14th Annual Conference on Genetic and Evolutionary
Computation
publication_identifier:
isbn:
- '9781450311779'
publisher: Association for Computing Machinery
series_title: GECCO ’12
status: public
title: Algorithm Selection Based on Exploratory Landscape Analysis and Cost-Sensitive
Learning
type: conference
user_id: '15504'
year: '2012'
...
---
_id: '46399'
abstract:
- lang: eng
text: Meta-modeling has become a crucial tool in solving expensive optimization
problems. Much of the work in the past has focused on finding a good regression
method to model the fitness function. Examples include classical linear regression,
splines, neural networks, Kriging and support vector regression. This paper specifically
draws attention to the fact that assessing model accuracy is a crucial aspect
in the meta-modeling framework. Resampling strategies such as cross-validation,
subsampling, bootstrapping, and nested resampling are prominent methods for model
validation and are systematically discussed with respect to possible pitfalls,
shortcomings, and specific features. A survey of meta-modeling techniques within
evolutionary optimization is provided. In addition, practical examples illustrating
some of the pitfalls associated with model selection and performance assessment
are presented. Finally, recommendations are given for choosing a model validation
technique for a particular setting.
author:
- first_name: B
full_name: Bischl, B
last_name: Bischl
- first_name: O
full_name: Mersmann, O
last_name: Mersmann
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: C
full_name: Weihs, C
last_name: Weihs
citation:
ama: Bischl B, Mersmann O, Trautmann H, Weihs C. Resampling Methods in Model Validation.
Evolutionary Computation Journal. 2012;20(2):249–275. doi:10.1162/EVCO_a_00069
apa: Bischl, B., Mersmann, O., Trautmann, H., & Weihs, C. (2012). Resampling
Methods in Model Validation. Evolutionary Computation Journal, 20(2),
249–275. https://doi.org/10.1162/EVCO_a_00069
bibtex: '@article{Bischl_Mersmann_Trautmann_Weihs_2012, title={Resampling Methods
in Model Validation}, volume={20}, DOI={10.1162/EVCO_a_00069},
number={2}, journal={Evolutionary Computation Journal}, author={Bischl, B and
Mersmann, O and Trautmann, Heike and Weihs, C}, year={2012}, pages={249–275} }'
chicago: 'Bischl, B, O Mersmann, Heike Trautmann, and C Weihs. “Resampling Methods
in Model Validation.” Evolutionary Computation Journal 20, no. 2 (2012):
249–275. https://doi.org/10.1162/EVCO_a_00069.'
ieee: 'B. Bischl, O. Mersmann, H. Trautmann, and C. Weihs, “Resampling Methods in
Model Validation,” Evolutionary Computation Journal, vol. 20, no. 2, pp.
249–275, 2012, doi: 10.1162/EVCO_a_00069.'
mla: Bischl, B., et al. “Resampling Methods in Model Validation.” Evolutionary
Computation Journal, vol. 20, no. 2, 2012, pp. 249–275, doi:10.1162/EVCO_a_00069.
short: B. Bischl, O. Mersmann, H. Trautmann, C. Weihs, Evolutionary Computation
Journal 20 (2012) 249–275.
date_created: 2023-08-04T15:54:41Z
date_updated: 2023-10-16T13:53:58Z
department:
- _id: '34'
- _id: '819'
doi: 10.1162/EVCO_a_00069
intvolume: ' 20'
issue: '2'
language:
- iso: eng
page: 249–275
publication: Evolutionary Computation Journal
status: public
title: Resampling Methods in Model Validation
type: journal_article
user_id: '15504'
volume: 20
year: '2012'
...