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Multi-trip pickup and delivery problem with time windows and synchronization

Author

Listed:
  • Phuong Khanh Nguyen

    (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)
    ESG, U.Q.A.M)

  • Michel Toulouse

    (Centre Interuniversitaire de Recherche sur les Réseaux d’Entreprise, la Logistique et le Transport (CIRRELT)
    Vietnamese-German University)

Abstract

In this paper, we consider two-tiered city logistics systems accounting for both the inbound and outbound traffic, that have not been taken into account in models and algorithms for vehicle routing research. The problem under study, called the Multi-trip Pickup and Delivery Problem with Time Windows and Synchronization, has two sets of intertwined decisions: the routing decisions which determine the sequence of customers visited by each vehicle route, the scheduling decisions which plan movements of vehicles between facilities within time synchronization restrictions. We propose a tabu search algorithm integrating multiple neighborhoods targeted to the decision sets of the problem. To assess the proposed algorithm, tests have been conducted on the first benchmark instances of the problem which have up to 72 facilities and 7200 customer demands. As no previous results are available in the literature for the problem, we also evaluate the performance of the method through comparisons with published results on two simplified problems: the Multi-zone multi-trip vehicle routing problem with separate delivery and collection, and the Vehicle routing problem with backhauls. The proposed algorithm is competitive with existing exact and meta-heuristic methods for these two problems.

Suggested Citation

  • Phuong Khanh Nguyen & Teodor Gabriel Crainic & Michel Toulouse, 2017. "Multi-trip pickup and delivery problem with time windows and synchronization," Annals of Operations Research, Springer, vol. 253(2), pages 899-934, June.
    • Handle: RePEc:spr:annopr:v:253:y:2017:i:2:d:10.1007_s10479-015-2001-7
    DOI: 10.1007/s10479-015-2001-7
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    References listed on IDEAS

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    Cited by:

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    2. Bettinelli, Andrea & Cacchiani, Valentina & Crainic, Teodor Gabriel & Vigo, Daniele, 2019. "A Branch-and-Cut-and-Price algorithm for the Multi-trip Separate Pickup and Delivery Problem with Time Windows at Customers and Facilities," European Journal of Operational Research, Elsevier, vol. 279(3), pages 824-839.
    3. A. Mor & M. G. Speranza, 2022. "Vehicle routing problems over time: a survey," Annals of Operations Research, Springer, vol. 314(1), pages 255-275, July.
    4. Zhaofang Mao & Dian Huang & Kan Fang & Chengbo Wang & Dandan Lu, 2020. "Milk-run routing problem with progress-lane in the collection of automobile parts," Annals of Operations Research, Springer, vol. 291(1), pages 657-684, August.
    5. Ertan Yakıcı & Robert F. Dell & Travis Hartman & Connor McLemore, 2018. "Daily aircraft routing for amphibious ready groups," Annals of Operations Research, Springer, vol. 264(1), pages 477-498, May.
    6. Zhang, Zhenzhen & Che, Yuxin & Liang, Zhe, 2024. "Split-demand multi-trip vehicle routing problem with simultaneous pickup and delivery in airport baggage transit," European Journal of Operational Research, Elsevier, vol. 312(3), pages 996-1010.
    7. Jie Zhang & Yifan Zhu & Xiaobo Li & Mengjun Ming & Weiping Wang & Tao Wang, 2022. "Multi-Trip Time-Dependent Vehicle Routing Problem with Split Delivery," Mathematics, MDPI, vol. 10(19), pages 1-24, September.
    8. Ade Irawan, Chandra & Starita, Stefano & Chan, Hing Kai & Eskandarpour, Majid & Reihaneh, Mohammad, 2023. "Routing in offshore wind farms: A multi-period location and maintenance problem with joint use of a service operation vessel and a safe transfer boat," European Journal of Operational Research, Elsevier, vol. 307(1), pages 328-350.
    9. Pan, Binbin & Zhang, Zhenzhen & Lim, Andrew, 2021. "Multi-trip time-dependent vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 291(1), pages 218-231.
    10. Lin, Meiyan & Lin, Shaodan & Ma, Lijun & Zhang, Lianmin, 2022. "The value of the Physical Internet on the meals-on-wheels delivery system," International Journal of Production Economics, Elsevier, vol. 248(C).

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