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Cutting-Plane Matheuristic for Service Network Design with Design-Balanced Requirements

Author

Listed:
  • Mervat Chouman

    (College of Business, Effat University, Jeddah 21478, Saudi Arabia)

  • Teodor Gabriel Crainic

    (Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT); and Département de management et technologie, Université du Québec à Montréal, Montréal, Québec H3C 3P8, Canada)

Abstract

The paper introduces a cutting-plane matheuristic for the design-balanced capacitated multicommodity network design problem, one of the premier formulations for the service network design problem with asset management concerns increasingly faced by carriers within their tactical planning processes. The matheuristic combines a cutting-plane procedure efficiently computing tight lower bounds and a variable-fixing procedure feeding a MIP solver. Learning mechanisms embedded into the cutting-plane procedure provide the means to identify promising variables and thus both reduce the dimension of the problem instance, making it addressable by a MIP solver, and guide the latter toward promising solution spaces. Extensive computational experiments show the efficiency of the proposed procedures in obtaining high-quality solutions, outperforming the current best methods from the literature.

Suggested Citation

  • Mervat Chouman & Teodor Gabriel Crainic, 2015. "Cutting-Plane Matheuristic for Service Network Design with Design-Balanced Requirements," Transportation Science, INFORMS, vol. 49(1), pages 99-113, February.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:1:p:99-113
    DOI: 10.1287/trsc.2013.0493
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    References listed on IDEAS

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    1. Andersen, Jardar & Crainic, Teodor Gabriel & Christiansen, Marielle, 2009. "Service network design with management and coordination of multiple fleets," European Journal of Operational Research, Elsevier, vol. 193(2), pages 377-389, March.
    2. Lai, M. F. & Lo, Hong K., 2004. "Ferry service network design: optimal fleet size, routing, and scheduling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(4), pages 305-328, May.
    3. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    4. Smilowitz, Karen R. & Atamtürk, Alper & Daganzo, Carlos F., 2003. "Deferred item and vehicle routing within integrated networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(4), pages 305-323, July.
    5. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    6. Michael Berliner Pedersen & Teodor Gabriel Crainic & Oli B. G. Madsen, 2009. "Models and Tabu Search Metaheuristics for Service Network Design with Asset-Balance Requirements," Transportation Science, INFORMS, vol. 43(2), pages 158-177, May.
    7. Jardar Andersen & Marielle Christiansen & Teodor Gabriel Crainic & Roar Grønhaug, 2011. "Branch and Price for Service Network Design with Asset Management Constraints," Transportation Science, INFORMS, vol. 45(1), pages 33-49, February.
    8. Andrew P. Armacost & Cynthia Barnhart & Keith A. Ware, 2002. "Composite Variable Formulations for Express Shipment Service Network Design," Transportation Science, INFORMS, vol. 36(1), pages 1-20, February.
    9. 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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    Cited by:

    1. Xudong Diao & Ai Gao & Xin Jin & Hui Chen, 2022. "A Layer-Based Relaxation Approach for Service Network Design," Sustainability, MDPI, vol. 14(20), pages 1-13, October.
    2. Liu, Chuanju & Lin, Shaochong & Shen, Zuo-Jun Max & Zhang, Junlong, 2023. "Stochastic service network design: The value of fixed routes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    3. Dayarian, Iman & Rocco, Adolfo & Erera, Alan & Savelsbergh, Martin, 2022. "Operations design for high-velocity intra-city package service," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 150-168.
    4. Li, Xiangyong & Wei, Kai & Guo, Zhaoxia & Wang, Wei & Aneja, Y.P., 2021. "An exact approach for the service network design problem with heterogeneous resource constraints," Omega, Elsevier, vol. 102(C).
    5. Zhang, X. & Liu, X., 2022. "A two-stage robust model for express service network design with surging demand," European Journal of Operational Research, Elsevier, vol. 299(1), pages 154-167.
    6. Liu, Chuanju & Zhang, Junlong & Lin, Shaochong & Shen, Zuo-Jun Max, 2023. "Service network design with consistent multiple trips," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    7. Teodor Gabriel Crainic & Mike Hewitt & Michel Toulouse & Duc Minh Vu, 2018. "Scheduled service network design with resource acquisition and management," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 277-309, September.
    8. Hewitt, Mike & Crainic, Teodor Gabriel & Nowak, Maciek & Rei, Walter, 2019. "Scheduled service network design with resource acquisition and management under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 324-343.
    9. Li, Xiangyong & Ding, Yi & Pan, Kai & Jiang, Dapei & Aneja, Y.P., 2020. "Single-path service network design problem with resource constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    10. Naoto Katayama, 2020. "MIP neighborhood search heuristics for a service network design problem with design-balanced requirements," Journal of Heuristics, Springer, vol. 26(4), pages 475-502, August.
    11. Satici, Ozgur & Dayarian, Iman, 2024. "Tactical and operational planning of express intra-city package services," Omega, Elsevier, vol. 122(C).
    12. Li, Xiangyong & Wei, Kai & Aneja, Y.P. & Tian, Peng, 2017. "Design-balanced capacitated multicommodity network design with heterogeneous assets," Omega, Elsevier, vol. 67(C), pages 145-159.
    13. 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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