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The Stochastic Multiperiod Location Transportation Problem

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  • Walid Klibi

    (Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Université de Montréal, Montréal, Quebéc H3C 3J7, Canada, and Faculté des Sciences de l'Administration, Département Opérations et Systémes de Décision, Université Laval, Québec City, Québec G1V 0A6, Canada)

  • Francis Lasalle

    (Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Université de Montréal, Montréal, Quebéc H3C 3J7, Canada, and Faculté des Sciences de l'Administration, Département Opérations et Systémes de Décision, Université Laval, Québec City, Québec G1V 0A6, Canada)

  • Alain Martel

    (Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Université de Montréal, Montréal, Quebéc H3C 3J7, Canada, and Faculté des Sciences de l'Administration, Département Opérations et Systémes de Décision, Université Laval, Québec City, Québec G1V 0A6, Canada)

  • Soumia Ichoua

    (Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), Université de Montréal, Montréal, Quebéc H3C 3J7, Canada, and Department of Computer Science and Engineering, Johnson C. Smith University, Charlotte, North Carolina 28216)

Abstract

This paper studies a stochastic multiperiod location-transportation problem (SMLTP) characterized by multiple transportation options, multiple demand periods, and a stochastic demand. We consider the determination of the number and location of the depots required to satisfy customer demand as well as the mission of these depots in terms of the subset of customers they must supply. The problem is formulated as a stochastic program with recourse, and a hierarchical heuristic solution approach is proposed. It incorporates a tabu search procedure, an approximate route length formula, and a modified procedure of Clarke and Wright (Clarke, G., J. W. Wright. 1964. Scheduling of vehicles from a central depot to a number of delivery points. Oper. Res. 12 568--581). Three neighbourhood exploration strategies are proposed and compared with extensive experiments based on realistic problems.

Suggested Citation

  • Walid Klibi & Francis Lasalle & Alain Martel & Soumia Ichoua, 2010. "The Stochastic Multiperiod Location Transportation Problem," Transportation Science, INFORMS, vol. 44(2), pages 221-237, May.
    • Handle: RePEc:inm:ortrsc:v:44:y:2010:i:2:p:221-237
    DOI: 10.1287/trsc.1090.0307
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    References listed on IDEAS

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    3. Soumen Kumar Das & Magfura Pervin & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2023. "Multi-objective solid transportation-location problem with variable carbon emission in inventory management: a hybrid approach," Annals of Operations Research, Springer, vol. 324(1), pages 283-309, May.
    4. Albareda-Sambola, Maria & Fernández, Elena & Nickel, Stefan, 2012. "Multiperiod Location-Routing with Decoupled Time Scales," European Journal of Operational Research, Elsevier, vol. 217(2), pages 248-258.
    5. Zhang, Ying & Qi, Mingyao & Lin, Wei-Hua & Miao, Lixin, 2015. "A metaheuristic approach to the reliable location routing problem under disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 90-110.
    6. Amiri-Aref, Mehdi & Farahani, Reza Zanjirani & Hewitt, Mike & Klibi, Walid, 2019. "Equitable location of facilities in a region with probabilistic barriers to travel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 66-85.
    7. Kim, Nayeon & Montreuil, Benoit & Klibi, Walid, 2022. "Inventory availability commitment under uncertainty in a dropshipping supply chain," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1155-1174.
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    9. Soumen Kumar Das & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "An exact and a heuristic approach for the transportation-p-facility location problem," Computational Management Science, Springer, vol. 17(3), pages 389-407, October.
    10. Wang, Xin & Kuo, Yong-Hong & Shen, Houcai & Zhang, Lianmin, 2021. "Target-oriented robust location–transportation problem with service-level measure," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 1-20.
    11. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    12. Fadda, Edoardo & Perboli, Guido & Tadei, Roberto, 2019. "A progressive hedging method for the optimization of social engagement and opportunistic IoT problems," European Journal of Operational Research, Elsevier, vol. 277(2), pages 643-652.
    13. Lin Zhou & Xu Wang & Lin Ni & Yun Lin, 2016. "Location-Routing Problem with Simultaneous Home Delivery and Customer’s Pickup for City Distribution of Online Shopping Purchases," Sustainability, MDPI, vol. 8(8), pages 1-20, August.
    14. Amiri-Aref, Mehdi & Klibi, Walid & Babai, M. Zied, 2018. "The multi-sourcing location inventory problem with stochastic demand," European Journal of Operational Research, Elsevier, vol. 266(1), pages 72-87.
    15. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    16. Soumen Kumar Das & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "Heuristic approaches for solid transportation-p-facility location problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(3), pages 939-961, September.
    17. Luca Bertazzi & Francesca Maggioni, 2015. "Solution Approaches for the Stochastic Capacitated Traveling Salesmen Location Problem with Recourse," Journal of Optimization Theory and Applications, Springer, vol. 166(1), pages 321-342, July.
    18. Ben Mohamed, Imen & Klibi, Walid & Sadykov, Ruslan & Şen, Halil & Vanderbeck, François, 2023. "The two-echelon stochastic multi-period capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 645-667.
    19. Wang, Minke & Wu, Jiang & Kafa, Nadine & Klibi, Walid, 2020. "Carbon emission-compliance green location-inventory problem with demand and carbon price uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    20. Bernard G. Zweers & Sandjai Bhulai & Rob D. Mei, 2021. "Planning hinterland container transportation in congested deep-sea terminals," Flexible Services and Manufacturing Journal, Springer, vol. 33(3), pages 583-622, September.
    21. Ben Jouida, Sihem & Krichen, Saoussen & Klibi, Walid, 2017. "Coalition-formation problem for sourcing contract design in supply networks," European Journal of Operational Research, Elsevier, vol. 257(2), pages 539-558.
    22. Jaller, Miguel & Pahwa, Anmol, 2023. "Coping with the Rise of E-commerce Generated Home Deliveries through Innovative Last-mile Technologies and Strategies," Institute of Transportation Studies, Working Paper Series qt5t76x0kh, Institute of Transportation Studies, UC Davis.

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