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An Exact Algorithm for a Rich Vehicle Routing Problem with Private Fleet and Common Carrier

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  • Said Dabia

    (School of Business and Economics, VU University Amsterdam, 1081 HV Amsterdam, Netherlands; Eyefreight B.V., 3981 AJ Bunnik, Netherlands)

  • David Lai

    (School of Business and Economics, VU University Amsterdam, 1081 HV Amsterdam, Netherlands)

  • Daniele Vigo

    (School of Business and Economics, VU University Amsterdam, 1081 HV Amsterdam, Netherlands; Department of Electrical, Electronic and Information Engineering, University of Bologna, 40126 Bologna BO, Italy)

Abstract

The vehicle routing problem with private fleet and common carrier (VRPPC) is a generalization of the classical vehicle routing problem in which the owner of a private fleet can either visit a customer with one of the owner’s vehicles or assign the customer to a common carrier. The latter case occurs if the demand exceeds the total capacity of the private fleet or if it is more economically convenient to do so. The owner’s objective is to minimize the variable and fixed costs for operating the owner’s fleet plus the total cost charged by the common carrier. This family of problems has many practical applications, particularly in the design of last-mile distribution services and has received some attention in the literature, in which some heuristics were proposed. We extend here the VRPPC by considering more realistic cost structures that account for quantity discounts on outsourcing costs and by considering time windows resulting in a rich VRPPC (RVRPPC). We present an exact approach based on a branch-and-cut-and-price algorithm for the RVRPPC and test the algorithm on instances from the literature.

Suggested Citation

  • Said Dabia & David Lai & Daniele Vigo, 2019. "An Exact Algorithm for a Rich Vehicle Routing Problem with Private Fleet and Common Carrier," Transportation Science, INFORMS, vol. 53(4), pages 986-1000, July.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:4:p:986-1000
    DOI: 10.1287/trsc.2018.0852
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    2. 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.
    3. Yang, Fei & Dai, Ying & Ma, Zu-Jun, 2020. "A cooperative rich vehicle routing problem in the last-mile logistics industry in rural areas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    4. Lin, Na & Akkerman, Renzo & Kanellopoulos, Argyris & Hu, Xiangpei & Wang, Xuping & Ruan, Junhu, 2023. "Vehicle routing with heterogeneous service types: Optimizing post-harvest preprocessing operations for fruits and vegetables in short food supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 172(C).
    5. Wang, Congke & Liu, Yankui & Yang, Guoqing, 2023. "Adaptive distributionally robust hub location and routing problem with a third-party logistics strategy," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    6. Jan Pelikán & Petr Štourač & Ondřej Sokol, 2022. "Vehicle routing problem with uniform private fleet and common carrier: a node subset heuristic," 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. 30(2), pages 683-697, June.

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