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A reduced cost-based restriction and refinement matheuristic for stochastic network design problem

Author

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  • Fatemeh Sarayloo

    (Université de Montréal
    Centre Interuniversitaire de Recherche sur les Réseaux d’Entreprise la Logistique et le Transport (CIRRELT))

  • Teodor Gabriel Crainic

    (Centre Interuniversitaire de Recherche sur les Réseaux d’Entreprise la Logistique et le Transport (CIRRELT)
    Université du Québec à Montréal)

  • Walter Rei

    (Centre Interuniversitaire de Recherche sur les Réseaux d’Entreprise la Logistique et le Transport (CIRRELT)
    Université du Québec à Montréal)

Abstract

We propose a solution approach for stochastic network design problems with uncertain demands. We investigate how to efficiently use reduced cost information as a means of guiding variable fixing to define a restriction that reduces the complexity of solving the stochastic model without sacrificing the quality of the solution obtained. We then propose a matheuristic approach that iteratively defines and explores restricted regions of the global solution space that have a high potential of containing good solutions. Extensive computational experiments show the effectiveness of the proposed approach in obtaining high-quality solutions, while reducing the computational effort to obtain them.

Suggested Citation

  • Fatemeh Sarayloo & Teodor Gabriel Crainic & Walter Rei, 2021. "A reduced cost-based restriction and refinement matheuristic for stochastic network design problem," Journal of Heuristics, Springer, vol. 27(3), pages 325-351, June.
    • Handle: RePEc:spr:joheur:v:27:y:2021:i:3:d:10.1007_s10732-020-09460-y
    DOI: 10.1007/s10732-020-09460-y
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    References listed on IDEAS

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    7. Arnt-Gunnar Lium & Teodor Gabriel Crainic & Stein W. Wallace, 2009. "A Study of Demand Stochasticity in Service Network Design," Transportation Science, INFORMS, vol. 43(2), pages 144-157, May.
    8. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    9. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    10. Ilfat Ghamlouche & Teodor Gabriel Crainic & Michel Gendreau, 2003. "Cycle-Based Neighbourhoods for Fixed-Charge Capacitated Multicommodity Network Design," Operations Research, INFORMS, vol. 51(4), pages 655-667, August.
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    2. Filipe Rodrigues & Agostinho Agra & Lars Magnus Hvattum & Cristina Requejo, 2022. "Weighted iterated local branching for mathematical programming problems with binary variables," Journal of Heuristics, Springer, vol. 28(3), pages 329-350, June.

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