---
_id: '48847'
abstract:
- lang: eng
  text: Dynamic optimization problems have gained significant attention in evolutionary
    computation as evolutionary algorithms (EAs) can easily adapt to changing environments.
    We show that EAs can solve the graph coloring problem for bipartite graphs more
    efficiently by using dynamic optimization. In our approach the graph instance
    is given incrementally such that the EA can reoptimize its coloring when a new
    edge introduces a conflict. We show that, when edges are inserted in a way that
    preserves graph connectivity, Randomized Local Search (RLS) efficiently finds
    a proper 2-coloring for all bipartite graphs. This includes graphs for which RLS
    and other EAs need exponential expected time in a static optimization scenario.
    We investigate different ways of building up the graph by popular graph traversals
    such as breadth-first-search and depth-first-search and analyse the resulting
    runtime behavior. We further show that offspring populations (e. g. a (1 + {$\lambda$})
    RLS) lead to an exponential speedup in {$\lambda$}. Finally, an island model using
    3 islands succeeds in an optimal time of {$\Theta$}(m) on every m-edge bipartite
    graph, outperforming offspring populations. This is the first example where an
    island model guarantees a speedup that is not bounded in the number of islands.
author:
- 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
- first_name: Pan
  full_name: Peng, Pan
  last_name: Peng
- first_name: Dirk
  full_name: Sudholt, Dirk
  last_name: Sudholt
citation:
  ama: 'Bossek J, Neumann F, Peng P, Sudholt D. More Effective Randomized Search Heuristics
    for Graph Coloring through Dynamic Optimization. In: <i>Proceedings of the Genetic
    and Evolutionary Computation Conference</i>. GECCO ’20. Association for Computing
    Machinery; 2020:1277–1285. doi:<a href="https://doi.org/10.1145/3377930.3390174">10.1145/3377930.3390174</a>'
  apa: Bossek, J., Neumann, F., Peng, P., &#38; Sudholt, D. (2020). More Effective
    Randomized Search Heuristics for Graph Coloring through Dynamic Optimization.
    <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, 1277–1285.
    <a href="https://doi.org/10.1145/3377930.3390174">https://doi.org/10.1145/3377930.3390174</a>
  bibtex: '@inproceedings{Bossek_Neumann_Peng_Sudholt_2020, place={New York, NY, USA},
    series={GECCO ’20}, title={More Effective Randomized Search Heuristics for Graph
    Coloring through Dynamic Optimization}, DOI={<a href="https://doi.org/10.1145/3377930.3390174">10.1145/3377930.3390174</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Neumann,
    Frank and Peng, Pan and Sudholt, Dirk}, year={2020}, pages={1277–1285}, collection={GECCO
    ’20} }'
  chicago: 'Bossek, Jakob, Frank Neumann, Pan Peng, and Dirk Sudholt. “More Effective
    Randomized Search Heuristics for Graph Coloring through Dynamic Optimization.”
    In <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    1277–1285. GECCO ’20. New York, NY, USA: Association for Computing Machinery,
    2020. <a href="https://doi.org/10.1145/3377930.3390174">https://doi.org/10.1145/3377930.3390174</a>.'
  ieee: 'J. Bossek, F. Neumann, P. Peng, and D. Sudholt, “More Effective Randomized
    Search Heuristics for Graph Coloring through Dynamic Optimization,” in <i>Proceedings
    of the Genetic and Evolutionary Computation Conference</i>, 2020, pp. 1277–1285,
    doi: <a href="https://doi.org/10.1145/3377930.3390174">10.1145/3377930.3390174</a>.'
  mla: Bossek, Jakob, et al. “More Effective Randomized Search Heuristics for Graph
    Coloring through Dynamic Optimization.” <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, Association for Computing Machinery, 2020, pp. 1277–1285,
    doi:<a href="https://doi.org/10.1145/3377930.3390174">10.1145/3377930.3390174</a>.
  short: 'J. Bossek, F. Neumann, P. Peng, D. Sudholt, in: Proceedings of the Genetic
    and Evolutionary Computation Conference, Association for Computing Machinery,
    New York, NY, USA, 2020, pp. 1277–1285.'
date_created: 2023-11-14T15:58:53Z
date_updated: 2023-12-13T10:43:41Z
department:
- _id: '819'
doi: 10.1145/3377930.3390174
extern: '1'
keyword:
- dynamic optimization
- evolutionary algorithms
- running time analysis
- theory
language:
- iso: eng
page: 1277–1285
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publication_status: published
publisher: Association for Computing Machinery
series_title: GECCO ’20
status: public
title: More Effective Randomized Search Heuristics for Graph Coloring through Dynamic
  Optimization
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48851'
abstract:
- lang: eng
  text: Several important optimization problems in the area of vehicle routing can
    be seen as variants of the classical Traveling Salesperson Problem (TSP). In the
    area of evolutionary computation, the Traveling Thief Problem (TTP) has gained
    increasing interest over the last 5 years. In this paper, we investigate the effect
    of weights on such problems, in the sense that the cost of traveling increases
    with respect to the weights of nodes already visited during a tour. This provides
    abstractions of important TSP variants such as the Traveling Thief Problem and
    time dependent TSP variants, and allows to study precisely the increase in difficulty
    caused by weight dependence. We provide a 3.59-approximation for this weight dependent
    version of TSP with metric distances and bounded positive weights. Furthermore,
    we conduct experimental investigations for simple randomized local search with
    classical mutation operators and two variants of the state-of-the-art evolutionary
    algorithm EAX adapted to the weighted TSP. Our results show the impact of the
    node weights on the position of the nodes in the resulting tour.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Katrin
  full_name: Casel, Katrin
  last_name: Casel
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
- first_name: Frank
  full_name: Neumann, Frank
  last_name: Neumann
citation:
  ama: 'Bossek J, Casel K, Kerschke P, Neumann F. The Node Weight Dependent Traveling
    Salesperson Problem: Approximation Algorithms and Randomized Search Heuristics.
    In: <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>.
    GECCO ’20. Association for Computing Machinery; 2020:1286–1294. doi:<a href="https://doi.org/10.1145/3377930.3390243">10.1145/3377930.3390243</a>'
  apa: 'Bossek, J., Casel, K., Kerschke, P., &#38; Neumann, F. (2020). The Node Weight
    Dependent Traveling Salesperson Problem: Approximation Algorithms and Randomized
    Search Heuristics. <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 1286–1294. <a href="https://doi.org/10.1145/3377930.3390243">https://doi.org/10.1145/3377930.3390243</a>'
  bibtex: '@inproceedings{Bossek_Casel_Kerschke_Neumann_2020, place={New York, NY,
    USA}, series={GECCO ’20}, title={The Node Weight Dependent Traveling Salesperson
    Problem: Approximation Algorithms and Randomized Search Heuristics}, DOI={<a href="https://doi.org/10.1145/3377930.3390243">10.1145/3377930.3390243</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Casel,
    Katrin and Kerschke, Pascal and Neumann, Frank}, year={2020}, pages={1286–1294},
    collection={GECCO ’20} }'
  chicago: 'Bossek, Jakob, Katrin Casel, Pascal Kerschke, and Frank Neumann. “The
    Node Weight Dependent Traveling Salesperson Problem: Approximation Algorithms
    and Randomized Search Heuristics.” In <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, 1286–1294. GECCO ’20. New York, NY, USA: Association
    for Computing Machinery, 2020. <a href="https://doi.org/10.1145/3377930.3390243">https://doi.org/10.1145/3377930.3390243</a>.'
  ieee: 'J. Bossek, K. Casel, P. Kerschke, and F. Neumann, “The Node Weight Dependent
    Traveling Salesperson Problem: Approximation Algorithms and Randomized Search
    Heuristics,” in <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    2020, pp. 1286–1294, doi: <a href="https://doi.org/10.1145/3377930.3390243">10.1145/3377930.3390243</a>.'
  mla: 'Bossek, Jakob, et al. “The Node Weight Dependent Traveling Salesperson Problem:
    Approximation Algorithms and Randomized Search Heuristics.” <i>Proceedings of
    the Genetic and Evolutionary Computation Conference</i>, Association for Computing
    Machinery, 2020, pp. 1286–1294, doi:<a href="https://doi.org/10.1145/3377930.3390243">10.1145/3377930.3390243</a>.'
  short: 'J. Bossek, K. Casel, P. Kerschke, F. Neumann, in: Proceedings of the Genetic
    and Evolutionary Computation Conference, Association for Computing Machinery,
    New York, NY, USA, 2020, pp. 1286–1294.'
date_created: 2023-11-14T15:58:53Z
date_updated: 2023-12-13T10:43:33Z
department:
- _id: '819'
doi: 10.1145/3377930.3390243
extern: '1'
keyword:
- dynamic optimization
- evolutionary algorithms
- running time analysis
- theory
language:
- iso: eng
page: 1286–1294
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publication_status: published
publisher: Association for Computing Machinery
series_title: GECCO ’20
status: public
title: 'The Node Weight Dependent Traveling Salesperson Problem: Approximation Algorithms
  and Randomized Search Heuristics'
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48845'
abstract:
- lang: eng
  text: In practice, e.g. in delivery and service scenarios, Vehicle-Routing-Problems
    (VRPs) often imply repeated decision making on dynamic customer requests. As in
    classical VRPs, tours have to be planned short while the number of serviced customers
    has to be maximized at the same time resulting in a multi-objective problem. Beyond
    that, however, dynamic requests lead to the need for re-planning of not yet realized
    tour parts, while already realized tour parts are irreversible. In this paper
    we study this type of bi-objective dynamic VRP including sequential decision making
    and concurrent realization of decisions. We adopt a recently proposed Dynamic
    Evolutionary Multi-Objective Algorithm (DEMOA) for a related VRP problem and extend
    it to the more realistic (here considered) scenario of multiple vehicles. We empirically
    show that our DEMOA is competitive with a multi-vehicle offline and clairvoyant
    variant of the proposed DEMOA as well as with the dynamic single-vehicle approach
    proposed earlier.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Christian
  full_name: Grimme, Christian
  last_name: Grimme
- first_name: Heike
  full_name: Trautmann, Heike
  last_name: Trautmann
citation:
  ama: 'Bossek J, Grimme C, Trautmann H. Dynamic Bi-Objective Routing of Multiple
    Vehicles. In: <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>.
    GECCO ’20. Association for Computing Machinery; 2020:166–174. doi:<a href="https://doi.org/10.1145/3377930.3390146">10.1145/3377930.3390146</a>'
  apa: Bossek, J., Grimme, C., &#38; Trautmann, H. (2020). Dynamic Bi-Objective Routing
    of Multiple Vehicles. <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 166–174. <a href="https://doi.org/10.1145/3377930.3390146">https://doi.org/10.1145/3377930.3390146</a>
  bibtex: '@inproceedings{Bossek_Grimme_Trautmann_2020, place={New York, NY, USA},
    series={GECCO ’20}, title={Dynamic Bi-Objective Routing of Multiple Vehicles},
    DOI={<a href="https://doi.org/10.1145/3377930.3390146">10.1145/3377930.3390146</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Grimme,
    Christian and Trautmann, Heike}, year={2020}, pages={166–174}, collection={GECCO
    ’20} }'
  chicago: 'Bossek, Jakob, Christian Grimme, and Heike Trautmann. “Dynamic Bi-Objective
    Routing of Multiple Vehicles.” In <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>, 166–174. GECCO ’20. New York, NY, USA: Association
    for Computing Machinery, 2020. <a href="https://doi.org/10.1145/3377930.3390146">https://doi.org/10.1145/3377930.3390146</a>.'
  ieee: 'J. Bossek, C. Grimme, and H. Trautmann, “Dynamic Bi-Objective Routing of
    Multiple Vehicles,” in <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 2020, pp. 166–174, doi: <a href="https://doi.org/10.1145/3377930.3390146">10.1145/3377930.3390146</a>.'
  mla: Bossek, Jakob, et al. “Dynamic Bi-Objective Routing of Multiple Vehicles.”
    <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, Association
    for Computing Machinery, 2020, pp. 166–174, doi:<a href="https://doi.org/10.1145/3377930.3390146">10.1145/3377930.3390146</a>.
  short: 'J. Bossek, C. Grimme, H. Trautmann, in: Proceedings of the Genetic and Evolutionary
    Computation Conference, Association for Computing Machinery, New York, NY, USA,
    2020, pp. 166–174.'
date_created: 2023-11-14T15:58:52Z
date_updated: 2023-12-13T10:43:24Z
department:
- _id: '819'
doi: 10.1145/3377930.3390146
extern: '1'
keyword:
- decision making
- dynamic optimization
- evolutionary algorithms
- multi-objective optimization
- vehicle routing
language:
- iso: eng
page: 166–174
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publication_status: published
publisher: Association for Computing Machinery
series_title: GECCO ’20
status: public
title: Dynamic Bi-Objective Routing of Multiple Vehicles
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48850'
abstract:
- lang: eng
  text: Sequential model-based optimization (SMBO) approaches are algorithms for solving
    problems that require computationally or otherwise expensive function evaluations.
    The key design principle of SMBO is a substitution of the true objective function
    by a surrogate, which is used to propose the point(s) to be evaluated next. SMBO
    algorithms are intrinsically modular, leaving the user with many important design
    choices. Significant research efforts go into understanding which settings perform
    best for which type of problems. Most works, however, focus on the choice of the
    model, the acquisition function, and the strategy used to optimize the latter.
    The choice of the initial sampling strategy, however, receives much less attention.
    Not surprisingly, quite diverging recommendations can be found in the literature.
    We analyze in this work how the size and the distribution of the initial sample
    influences the overall quality of the efficient global optimization (EGO) algorithm,
    a well-known SMBO approach. While, overall, small initial budgets using Halton
    sampling seem preferable, we also observe that the performance landscape is rather
    unstructured. We furthermore identify several situations in which EGO performs
    unfavorably against random sampling. Both observations indicate that an adaptive
    SMBO design could be beneficial, making SMBO an interesting test-bed for automated
    algorithm design.
author:
- first_name: Jakob
  full_name: Bossek, Jakob
  id: '102979'
  last_name: Bossek
  orcid: 0000-0002-4121-4668
- first_name: Carola
  full_name: Doerr, Carola
  last_name: Doerr
- first_name: Pascal
  full_name: Kerschke, Pascal
  last_name: Kerschke
citation:
  ama: 'Bossek J, Doerr C, Kerschke P. Initial Design Strategies and Their Effects
    on Sequential Model-Based Optimization: An Exploratory Case Study Based on BBOB.
    In: <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>.
    GECCO ’20. Association for Computing Machinery; 2020:778–786. doi:<a href="https://doi.org/10.1145/3377930.3390155">10.1145/3377930.3390155</a>'
  apa: 'Bossek, J., Doerr, C., &#38; Kerschke, P. (2020). Initial Design Strategies
    and Their Effects on Sequential Model-Based Optimization: An Exploratory Case
    Study Based on BBOB. <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 778–786. <a href="https://doi.org/10.1145/3377930.3390155">https://doi.org/10.1145/3377930.3390155</a>'
  bibtex: '@inproceedings{Bossek_Doerr_Kerschke_2020, place={New York, NY, USA}, series={GECCO
    ’20}, title={Initial Design Strategies and Their Effects on Sequential Model-Based
    Optimization: An Exploratory Case Study Based on BBOB}, DOI={<a href="https://doi.org/10.1145/3377930.3390155">10.1145/3377930.3390155</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Bossek, Jakob and Doerr,
    Carola and Kerschke, Pascal}, year={2020}, pages={778–786}, collection={GECCO
    ’20} }'
  chicago: 'Bossek, Jakob, Carola Doerr, and Pascal Kerschke. “Initial Design Strategies
    and Their Effects on Sequential Model-Based Optimization: An Exploratory Case
    Study Based on BBOB.” In <i>Proceedings of the Genetic and Evolutionary Computation
    Conference</i>, 778–786. GECCO ’20. New York, NY, USA: Association for Computing
    Machinery, 2020. <a href="https://doi.org/10.1145/3377930.3390155">https://doi.org/10.1145/3377930.3390155</a>.'
  ieee: 'J. Bossek, C. Doerr, and P. Kerschke, “Initial Design Strategies and Their
    Effects on Sequential Model-Based Optimization: An Exploratory Case Study Based
    on BBOB,” in <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    2020, pp. 778–786, doi: <a href="https://doi.org/10.1145/3377930.3390155">10.1145/3377930.3390155</a>.'
  mla: 'Bossek, Jakob, et al. “Initial Design Strategies and Their Effects on Sequential
    Model-Based Optimization: An Exploratory Case Study Based on BBOB.” <i>Proceedings
    of the Genetic and Evolutionary Computation Conference</i>, Association for Computing
    Machinery, 2020, pp. 778–786, doi:<a href="https://doi.org/10.1145/3377930.3390155">10.1145/3377930.3390155</a>.'
  short: 'J. Bossek, C. Doerr, P. Kerschke, in: Proceedings of the Genetic and Evolutionary
    Computation Conference, Association for Computing Machinery, New York, NY, USA,
    2020, pp. 778–786.'
date_created: 2023-11-14T15:58:53Z
date_updated: 2023-12-13T10:44:01Z
department:
- _id: '819'
doi: 10.1145/3377930.3390155
extern: '1'
keyword:
- continuous black-box optimization
- design of experiments
- initial design
- sequential model-based optimization
language:
- iso: eng
page: 778–786
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publication_status: published
publisher: Association for Computing Machinery
series_title: GECCO ’20
status: public
title: 'Initial Design Strategies and Their Effects on Sequential Model-Based Optimization:
  An Exploratory Case Study Based on BBOB'
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48879'
abstract:
- lang: eng
  text: Evolving diverse sets of high quality solutions has gained increasing interest
    in the evolutionary computation literature in recent years. With this paper, we
    contribute to this area of research by examining evolutionary diversity optimisation
    approaches for the classical Traveling Salesperson Problem (TSP). We study the
    impact of using different diversity measures for a given set of tours and the
    ability of evolutionary algorithms to obtain a diverse set of high quality solutions
    when adopting these measures. Our studies show that a large variety of diverse
    high quality tours can be achieved by using our approaches. Furthermore, we compare
    our approaches in terms of theoretical properties and the final set of tours obtained
    by the evolutionary diversity optimisation algorithm.
author:
- first_name: Anh Viet
  full_name: Do, Anh Viet
  last_name: Do
- 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: 'Do AV, Bossek J, Neumann A, Neumann F. Evolving Diverse Sets of Tours for
    the Travelling Salesperson Problem. In: <i>Proceedings of the Genetic and Evolutionary
    Computation Conference</i>. GECCO’20. Association for Computing Machinery; 2020:681–689.
    doi:<a href="https://doi.org/10.1145/3377930.3389844">10.1145/3377930.3389844</a>'
  apa: Do, A. V., Bossek, J., Neumann, A., &#38; Neumann, F. (2020). Evolving Diverse
    Sets of Tours for the Travelling Salesperson Problem. <i>Proceedings of the Genetic
    and Evolutionary Computation Conference</i>, 681–689. <a href="https://doi.org/10.1145/3377930.3389844">https://doi.org/10.1145/3377930.3389844</a>
  bibtex: '@inproceedings{Do_Bossek_Neumann_Neumann_2020, place={New York, NY, USA},
    series={GECCO’20}, title={Evolving Diverse Sets of Tours for the Travelling Salesperson
    Problem}, DOI={<a href="https://doi.org/10.1145/3377930.3389844">10.1145/3377930.3389844</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference},
    publisher={Association for Computing Machinery}, author={Do, Anh Viet and Bossek,
    Jakob and Neumann, Aneta and Neumann, Frank}, year={2020}, pages={681–689}, collection={GECCO’20}
    }'
  chicago: 'Do, Anh Viet, Jakob Bossek, Aneta Neumann, and Frank Neumann. “Evolving
    Diverse Sets of Tours for the Travelling Salesperson Problem.” In <i>Proceedings
    of the Genetic and Evolutionary Computation Conference</i>, 681–689. GECCO’20.
    New York, NY, USA: Association for Computing Machinery, 2020. <a href="https://doi.org/10.1145/3377930.3389844">https://doi.org/10.1145/3377930.3389844</a>.'
  ieee: 'A. V. Do, J. Bossek, A. Neumann, and F. Neumann, “Evolving Diverse Sets of
    Tours for the Travelling Salesperson Problem,” in <i>Proceedings of the Genetic
    and Evolutionary Computation Conference</i>, 2020, pp. 681–689, doi: <a href="https://doi.org/10.1145/3377930.3389844">10.1145/3377930.3389844</a>.'
  mla: Do, Anh Viet, et al. “Evolving Diverse Sets of Tours for the Travelling Salesperson
    Problem.” <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>,
    Association for Computing Machinery, 2020, pp. 681–689, doi:<a href="https://doi.org/10.1145/3377930.3389844">10.1145/3377930.3389844</a>.
  short: 'A.V. Do, J. Bossek, A. Neumann, F. Neumann, in: Proceedings of the Genetic
    and Evolutionary Computation Conference, Association for Computing Machinery,
    New York, NY, USA, 2020, pp. 681–689.'
date_created: 2023-11-14T15:58:58Z
date_updated: 2023-12-13T10:48:50Z
department:
- _id: '819'
doi: 10.1145/3377930.3389844
extern: '1'
keyword:
- diversity maximisation
- evolutionary algorithms
- travelling salesperson problem
language:
- iso: eng
page: 681–689
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publisher: Association for Computing Machinery
series_title: GECCO’20
status: public
title: Evolving Diverse Sets of Tours for the Travelling Salesperson Problem
type: conference
user_id: '102979'
year: '2020'
...
---
_id: '48895'
abstract:
- lang: eng
  text: Evolutionary algorithms (EAs) are general-purpose problem solvers that usually
    perform an unbiased search. This is reasonable and desirable in a black-box scenario.
    For combinatorial optimization problems, often more knowledge about the structure
    of optimal solutions is given, which can be leveraged by means of biased search
    operators. We consider the Minimum Spanning Tree (MST) problem in a single- and
    multi-objective version, and introduce a biased mutation, which puts more emphasis
    on the selection of edges of low rank in terms of low domination number. We present
    example graphs where the biased mutation can significantly speed up the expected
    runtime until (Pareto-)optimal solutions are found. On the other hand, we demonstrate
    that bias can lead to exponential runtime if "heavy" edges are necessarily part
    of an optimal solution. However, on general graphs in the single-objective setting,
    we show that a combined mutation operator which decides for unbiased or biased
    edge selection in each step with equal probability exhibits a polynomial upper
    bound - as unbiased mutation - in the worst case and benefits from bias if the
    circumstances are favorable.
author:
- first_name: Vahid
  full_name: Roostapour, Vahid
  last_name: Roostapour
- 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: 'Roostapour V, Bossek J, Neumann F. Runtime Analysis of Evolutionary Algorithms
    with Biased Mutation for the Multi-Objective Minimum Spanning Tree Problem. In:
    <i>Proceedings of the 2020 Genetic and Evolutionary Computation Conference</i>.
    {GECCO} ’20. Association for Computing Machinery; 2020:551–559. doi:<a href="https://doi.org/10.1145/3377930.3390168">10.1145/3377930.3390168</a>'
  apa: Roostapour, V., Bossek, J., &#38; Neumann, F. (2020). Runtime Analysis of Evolutionary
    Algorithms with Biased Mutation for the Multi-Objective Minimum Spanning Tree
    Problem. <i>Proceedings of the 2020 Genetic and Evolutionary Computation Conference</i>,
    551–559. <a href="https://doi.org/10.1145/3377930.3390168">https://doi.org/10.1145/3377930.3390168</a>
  bibtex: '@inproceedings{Roostapour_Bossek_Neumann_2020, place={New York, NY, USA},
    series={{GECCO} ’20}, title={Runtime Analysis of Evolutionary Algorithms with
    Biased Mutation for the Multi-Objective Minimum Spanning Tree Problem}, DOI={<a
    href="https://doi.org/10.1145/3377930.3390168">10.1145/3377930.3390168</a>}, booktitle={Proceedings
    of the 2020 Genetic and Evolutionary Computation Conference}, publisher={Association
    for Computing Machinery}, author={Roostapour, Vahid and Bossek, Jakob and Neumann,
    Frank}, year={2020}, pages={551–559}, collection={{GECCO} ’20} }'
  chicago: 'Roostapour, Vahid, Jakob Bossek, and Frank Neumann. “Runtime Analysis
    of Evolutionary Algorithms with Biased Mutation for the Multi-Objective Minimum
    Spanning Tree Problem.” In <i>Proceedings of the 2020 Genetic and Evolutionary
    Computation Conference</i>, 551–559. {GECCO} ’20. New York, NY, USA: Association
    for Computing Machinery, 2020. <a href="https://doi.org/10.1145/3377930.3390168">https://doi.org/10.1145/3377930.3390168</a>.'
  ieee: 'V. Roostapour, J. Bossek, and F. Neumann, “Runtime Analysis of Evolutionary
    Algorithms with Biased Mutation for the Multi-Objective Minimum Spanning Tree
    Problem,” in <i>Proceedings of the 2020 Genetic and Evolutionary Computation Conference</i>,
    2020, pp. 551–559, doi: <a href="https://doi.org/10.1145/3377930.3390168">10.1145/3377930.3390168</a>.'
  mla: Roostapour, Vahid, et al. “Runtime Analysis of Evolutionary Algorithms with
    Biased Mutation for the Multi-Objective Minimum Spanning Tree Problem.” <i>Proceedings
    of the 2020 Genetic and Evolutionary Computation Conference</i>, Association for
    Computing Machinery, 2020, pp. 551–559, doi:<a href="https://doi.org/10.1145/3377930.3390168">10.1145/3377930.3390168</a>.
  short: 'V. Roostapour, J. Bossek, F. Neumann, in: Proceedings of the 2020 Genetic
    and Evolutionary Computation Conference, Association for Computing Machinery,
    New York, NY, USA, 2020, pp. 551–559.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:49:38Z
department:
- _id: '819'
doi: 10.1145/3377930.3390168
extern: '1'
keyword:
- biased mutation
- evolutionary algorithms
- minimum spanning tree problem
- runtime analysis
language:
- iso: eng
page: 551–559
place: New York, NY, USA
publication: Proceedings of the 2020 Genetic and Evolutionary Computation Conference
publication_identifier:
  isbn:
  - 978-1-4503-7128-5
publisher: Association for Computing Machinery
series_title: '{GECCO} ’20'
status: public
title: Runtime Analysis of Evolutionary Algorithms with Biased Mutation for the Multi-Objective
  Minimum Spanning Tree Problem
type: conference
user_id: '102979'
year: '2020'
...
