Investigation of the Benefit of Extracting Patterns from Local Optima to Solve a Bi-objective VRPTW | Metaheuristics (2024)

Article

Authors: Clément Legrand, Diego Cattaruzza, Laetitia Jourdan, and Marie-Eléonore Kessaci

Metaheuristics: 15th International Conference, MIC 2024, Lorient, France, June 4–7, 2024, Proceedings, Part I

June 2024

Pages 62 - 77

Published: 17 June 2024 Publication History

  • 0citation
  • 0
  • Downloads

Metrics

Total Citations0Total Downloads0

Last 12 Months0

Last 6 weeks0

  • Get Citation Alerts

    New Citation Alert added!

    This alert has been successfully added and will be sent to:

    You will be notified whenever a record that you have chosen has been cited.

    To manage your alert preferences, click on the button below.

    Manage my Alerts

    New Citation Alert!

    Please log in to your account

      • View Options
      • References
      • Media
      • Tables
      • Share

    Abstract

    Hybridizing learning and optimization often improves existing algorithms in single-objective optimization. Indeed, high-quality solutions often contain relevant knowledge that can be used to guide the heuristic towards promising areas. Learning from the structure of solutions is challenging in combinatorial problems. Most of the time, local optima are considered for this task since they tend to contain more relevant structural information. If local optima generally contain more interesting information than other solutions, producing them requires a time-consuming process. In this paper, we study the benefits of learning from local optima during the execution of a multi-objective algorithm. To this end, we consider a hybridized MOEA/D (a multi-objective genetic algorithm) with a knowledge discovery mechanism adapted to the problem solved and we conduct experiments on a bi-objective vehicle routing problem with time windows. The knowledge discovery mechanism extracts sequences of customers from solutions. The results show the benefit of using different strategies for the components of the knowledge discovery mechanism and the efficacy of extracting patterns from local optima for larger instances. An analysis of speed-up performance gives deeper conclusions about the use of local optima.

    References

    [1]

    Arnold F, Santana Í, Sörensen K, and Vidal T PILS: exploring high-order neighborhoods by pattern mining and injection Pattern Recogn. 2021 116

    Digital Library

    [2]

    Arnold F and Sörensen K Knowledge-guided local search for the vehicle routing problem Comput. Oper. Res. 2019 105 32-46

    Digital Library

    [3]

    Barbalho H, Rosseti I, Martins SL, and Plastino A A hybrid data mining grasp with path-relinking Comput. Oper. Res. 2013 40 12 3159-3173

    Digital Library

    [4]

    Benitez-Hidalgo A, Nebro AJ, Garcia-Nieto J, Oregi I, and Del Ser J jMetalPy: a python framework for multi-objective optimization with metaheuristics Swarm Evol. Comput. 2019 51

    [5]

    Blot A, Marmion M, and Jourdan L Survey and unification of local search techniques in metaheuristics for multi-objective combinatorial optimisation J. Heuristics 2018 24 6 853-877

    [6]

    Castro-Gutierrez, J., Landa-Silva, D., Pérez, J.M.: Nature of real-world multi-objective vehicle routing with evolutionary algorithms. In: 2011 IEEE International Conference on Systems, Man, and Cybernetics, pp.257–264. IEEE (2011)

    [7]

    Coello Coello CA, Dhaenens C, and Jourdan L Coello Coello CA, Dhaenens C, and Jourdan L Multi-objective combinatorial optimization: problematic and context Advances in Multi-Objective Nature Inspired Computing 2010 Heidelberg Springer 1-21

    [8]

    Corne D, Dhaenens C, and Jourdan L Synergies between operations research and data mining: the emerging use of multi-objective approaches Eur. J. Oper. Res. 2012 221 3 469-479

    [9]

    Deb K, Pratap A, Agarwal S, and Meyarivan T A fast and elitist multiobjective genetic algorithm: NSGA-II IEEE Trans. Evol. Comput. 2002 6 2 182-197

    Digital Library

    [10]

    Khalil, E., Dai, H., Zhang, Y., Dilkina, B., Song, L.: Learning combinatorial optimization algorithms over graphs. In: Advances in Neural Information Processing Systems, vol. 30 (2017)

    [11]

    Knowles, J.D.: Local-search and hybrid evolutionary algorithms for Pareto optimization. Ph.D. thesis, University of Reading Reading (2002)

    [12]

    Kora P and Yadlapalli P Crossover operators in genetic algorithms: a review Int. J. Comput. Appl. 2017 162 10

    [13]

    Land, M.W.S.: Evolutionary algorithms with local search for combinatorial optimization. University of California, San Diego (1998)

    [14]

    Legrand, C., Cattaruzza, D., Jourdan, L., Kessaci, M.-E.: Improving neighborhood exploration into MOEA/D framework to solve a bi-objective routing problem. Int. Trans. Oper. Res. (2023)

    [15]

    López-Ibáñez M, Dubois-Lacoste J, Cáceres LP, Birattari M, and Stützle T The irace package: iterated racing for automatic algorithm configuration Oper. Res. Perspect. 2016 3 43-58

    [16]

    Ma X et al. MOEA/D with opposition-based learning for multiobjective optimization problem Neurocomputing 2014 146 48-64

    Digital Library

    [17]

    Riquelme, N., VonLücken, C., Baran, B.: Performance metrics in multi-objective optimization. In: 2015 Latin American computing conference (CLEI), pp.1–11. IEEE (2015)

    [18]

    Schneider M, Schwahn F, and Vigo D Designing granular solution methods for routing problems with time windows Eur. J. Oper. Res. 2017 263 2 493-509

    [19]

    Solomon MM Algorithms for the vehicle routing and scheduling problems with time window constraints Oper. Res. 1987 35 2 254-265

    Digital Library

    [20]

    Subramanian A, Uchoa E, and Ochi LS A hybrid algorithm for a class of vehicle routing problems Comput. Oper. Res. 2013 40 10 2519-2531

    [21]

    Talbi E-G Machine learning into metaheuristics: A survey and taxonomy ACM Comput. Surv. (CSUR) 2021 54 6 1-32

    Digital Library

    [22]

    Toth P and Vigo D The granular tabu search and its application to the vehicle-routing problem INFORMS J. Comput. 2003 15 4 333-346

    Digital Library

    [23]

    Toth, P., Vigo, D.: Vehicle Routing: Problems, Methods, and Applications. SIAM (2014)

    [24]

    Uchoa E, Pecin D, Pessoa A, Poggi M, Vidal T, and Subramanian A New benchmark instances for the capacitated vehicle routing problem Eur. J. Oper. Res. 2017 257 3 845-858

    [25]

    Vidal T, Crainic TG, Gendreau M, and Prins C A hybrid genetic algorithm with adaptive diversity management for a large class of vehicle routing problems with time-windows Comput. Oper. Res. 2013 40 1 475-489

    Digital Library

    [26]

    Vidal, T., Crainic, T.G., Gendreau, M., Prins, C.: A unified solution framework for multi-attribute vehicle routing problems. Eur. J. Oper. Res. (2014)

    [27]

    Xu Q, Xu Z, and Ma T A survey of multiobjective evolutionary algorithms based on decomposition: variants, challenges and future directions IEEE Access 2020 8 41588-41614

    [28]

    Zhang Q and Li H MOEA/D: a multiobjective evolutionary algorithm based on decomposition IEEE Trans. Evol. Comput. 2007 11 6 712-731

    Digital Library

    [29]

    Zitzler E, Thiele L, Laumanns M, Fonseca CM, and Da Fonseca VG Performance assessment of multiobjective optimizers: an analysis and review IEEE Trans. Evol. Comput. 2003 7 2 117-132

    Digital Library

    Recommendations

    • Local search effects in bi-objective orienteering

      GECCO '18: Proceedings of the Genetic and Evolutionary Computation Conference

      We analyze the effects of including local search techniques into a multi-objective evolutionary algorithm for solving a bi-objective orienteering problem with a single vehicle while the two conflicting objectives are minimization of travel time and ...

      Read More

    • A bi-objective iterated local search heuristic with path-relinking for the p-median problem

      EMO'11: Proceedings of the 6th international conference on Evolutionary multi-criterion optimization

      In this paper, we examine the p-median problem from a bi-objective point of view. Since this is a NP-Hard problem, an efficient algorithm based on the Iterated Local Search heuristic (ILS) is proposed to determine nondominated solutions (an ...

      Read More

    • Local search algorithms for the k-cardinality tree problem

      In this paper we deal with an NP-hard combinatorial optimization problem, the k-cardinality tree problem in node-weighted graphs. This problem has several applications, which justify the need for efficient methods to obtain good solutions. We review ...

      Read More

    Comments

    Information & Contributors

    Information

    Published In

    Investigation oftheBenefit ofExtracting Patterns fromLocal Optima toSolve aBi-objective VRPTW | Metaheuristics (1)

    Metaheuristics: 15th International Conference, MIC 2024, Lorient, France, June 4–7, 2024, Proceedings, Part I

    Jun 2024

    403 pages

    ISBN:978-3-031-62911-2

    DOI:10.1007/978-3-031-62912-9

    • Editors:
    • Marc Sevaux

      Centre de Recherche, Université Bretagne Sud, Lorient, France

      ,
    • Alexandru-Liviu Olteanu

      Centre de Recherche, Université Bretagne Sud, LORIENT, France

      ,
    • Eduardo G. Pardo

      https://ror.org/01v5cv687Universidad Rey Juan Carlos, Móstoles, Spain

      ,
    • Angelo Sifaleras

      https://ror.org/05fg6gr82University of Macedonia, Thessaloniki, Greece

      ,
    • Salma Makboul

      https://ror.org/01qhqcj41Université de Technologie de Troyes, Troyes Cedex, France

    © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

    Publisher

    Springer-Verlag

    Berlin, Heidelberg

    Publication History

    Published: 17 June 2024

    Author Tags

    1. Combinatorial Optimization
    2. Multi-Objective Optimization
    3. Online Learning
    4. Genetic Algorithm
    5. Local Search

    Qualifiers

    • Article

    Contributors

    Investigation oftheBenefit ofExtracting Patterns fromLocal Optima toSolve aBi-objective VRPTW | Metaheuristics (2)

    Other Metrics

    View Article Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Total Citations

    • Total Downloads

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0

    Other Metrics

    View Author Metrics

    Citations

    View Options

    View options

    Get Access

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    Get this Publication

    Media

    Figures

    Other

    Tables

    Investigation of the Benefit of Extracting Patterns from Local Optima to Solve a Bi-objective VRPTW | Metaheuristics (2024)

    References

    Top Articles
    Latest Posts
    Article information

    Author: Carlyn Walter

    Last Updated:

    Views: 6004

    Rating: 5 / 5 (70 voted)

    Reviews: 93% of readers found this page helpful

    Author information

    Name: Carlyn Walter

    Birthday: 1996-01-03

    Address: Suite 452 40815 Denyse Extensions, Sengermouth, OR 42374

    Phone: +8501809515404

    Job: Manufacturing Technician

    Hobby: Table tennis, Archery, Vacation, Metal detecting, Yo-yoing, Crocheting, Creative writing

    Introduction: My name is Carlyn Walter, I am a lively, glamorous, healthy, clean, powerful, calm, combative person who loves writing and wants to share my knowledge and understanding with you.