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Strategic oscillation for the capacitated hub location problem with modular links

Author

Listed:
  • Ángel Corberán

    (Universitat de València)

  • Juanjo Peiró

    (Universitat de València)

  • Vicente Campos

    (Universitat de València)

  • Fred Glover

    (OptTek Systems)

  • Rafael Martí

    (Universitat de València)

Abstract

The capacitated single assignment hub location problem with modular link capacities is a variant of the classical hub location problem in which the cost of using edges is not linear but stepwise, and the hubs are restricted in terms of transit capacity rather than in the incoming traffic. We propose a metaheuristic algorithm based on strategic oscillation, a methodology originally introduced in the context of tabu search. Our method incorporates several designs for constructive and destructive algorithms, together with associated local search procedures, to balance diversification and intensification for an efficient search. Computational results on a large set of instances show that, in contrast to exact methods that can only solve small instances optimally, our metaheuristic is able to find high-quality solutions on larger instances in short computing times. In addition, the new method, which joins tabu search strategies with strategic oscillation, outperforms the previous tabu search implementation.

Suggested Citation

  • Ángel Corberán & Juanjo Peiró & Vicente Campos & Fred Glover & Rafael Martí, 2016. "Strategic oscillation for the capacitated hub location problem with modular links," Journal of Heuristics, Springer, vol. 22(2), pages 221-244, April.
    • Handle: RePEc:spr:joheur:v:22:y:2016:i:2:d:10.1007_s10732-016-9308-7
    DOI: 10.1007/s10732-016-9308-7
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    References listed on IDEAS

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    Cited by:

    1. Milad Keshvari Fard & Laurent Alfandari, 2018. "Trade-offs between the Stepwise Cost Function and its Linear Approximation for the Modular Hub Location Problem," Working Papers hal-01821280, HAL.
    2. Milad , Keshvari Fard & Laurent, Alfandari, 2018. "Trade-offs between the Stepwise Cost Function and its Linear Approximation for the Modular Hub Location Problem," ESSEC Working Papers WP1805, ESSEC Research Center, ESSEC Business School.
    3. Firoozeh Kaveh & Reza Tavakkoli-Moghaddam & Chefi Triki & Yaser Rahimi & Amin Jamili, 2021. "A new bi-objective model of the urban public transportation hub network design under uncertainty," Annals of Operations Research, Springer, vol. 296(1), pages 131-162, January.
    4. Li, Mingjie & Hao, Jin-Kao & Wu, Qinghua, 2024. "A flow based formulation and a reinforcement learning based strategic oscillation for cross-dock door assignment," European Journal of Operational Research, Elsevier, vol. 312(2), pages 473-492.
    5. Liting Chen & Sebastian Wandelt & Weibin Dai & Xiaoqian Sun, 2022. "Scalable Vertiport Hub Location Selection for Air Taxi Operations in a Metropolitan Region," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 834-856, March.
    6. Wei, Zequn & Hao, Jin-Kao & Ren, Jintong & Glover, Fred, 2023. "Responsive strategic oscillation for solving the disjunctively constrained knapsack problem," European Journal of Operational Research, Elsevier, vol. 309(3), pages 993-1009.
    7. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2019. "Improved polyhedral descriptions and exact procedures for a broad class of uncapacitated p-hub median problems," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 38-63.

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