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Heuristics and Metaheuristics for Fixed-Charge Network Design

In: Network Design with Applications to Transportation and Logistics

Author

Listed:
  • Teodor Gabriel Crainic

    (Université du Québec à Montréal)

  • Michel Gendreau

    (Polytechnique Montréal)

Abstract

Heuristics and metaheuristics are widely used to tackle difficult network design problems. We first present fundamental concepts for the development of heuristic approaches, such as search spaces, neighborhoods, and populations of solutions. The main heuristic and metaheuristic solution methods are then introduced: constructive and Local Search heuristics, neighborhood-based metaheuristics, population-based methods, matheuristics, parallel meta- and matheuristics. The chapter focuses on the application of these methods to fixed-charge transportation and multicommodity capacitated fixed-charge network design problems. We also provide a historical perspective on the development of the field since the 1960’s, as well as a number of challenging research avenues for meta- and matheuristics for network design problems.

Suggested Citation

  • Teodor Gabriel Crainic & Michel Gendreau, 2021. "Heuristics and Metaheuristics for Fixed-Charge Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 91-138, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-64018-7_4
    DOI: 10.1007/978-3-030-64018-7_4
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    Cited by:

    1. Crainic, Teodor Gabriel & Gendron, Bernard & Akhavan Kazemzadeh, Mohammad Rahim, 2022. "A taxonomy of multilayer network design and a survey of transportation and telecommunication applications," European Journal of Operational Research, Elsevier, vol. 303(1), pages 1-13.
    2. Hewitt, Mike & Lehuédé, Fabien, 2023. "New formulations for the Scheduled Service Network Design Problem," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 117-133.

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