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Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows

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  • Li, Jiliu
  • Qin, Hu
  • Baldacci, Roberto
  • Zhu, Wenbin

Abstract

This study addresses a vehicle routing problem (VRP) in which demands are discrete, split delivery is allowed, service time is proportional to the units of delivered products, multiple time windows are provided and the demand of each customer must be delivered in only one time window (this requirement is termed synchronization constraint). We formulate this problem into a three-index vehicle-flow model and a set-covering model. Then, we propose a branch-and-price-and-cut algorithm to solve the problem. We compare our branch-and-price-and-cut algorithm with CPLEX based on 252 randomly generated instances and the computational results demonstrate the effectiveness of our algorithm.

Suggested Citation

  • Li, Jiliu & Qin, Hu & Baldacci, Roberto & Zhu, Wenbin, 2020. "Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:transe:v:140:y:2020:i:c:s1366554520306062
    DOI: 10.1016/j.tre.2020.101955
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    3. Huang, Nan & Li, Jiliu & Zhu, Wenbin & Qin, Hu, 2021. "The multi-trip vehicle routing problem with time windows and unloading queue at depot," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    4. Yu, Bin & Shan, Wenxuan & Sheu, Jiuh-Biing & Diabat, Ali, 2022. "Branch-and-price for a combined order selection and distribution problem in online community group-buying of perishable products," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 341-373.
    5. Wang, Haibo & Alidaee, Bahram, 2023. "White-glove service delivery: A quantitative analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    6. Qin, Hu & Su, E. & Wang, Yilun & Li, Jiliu, 2022. "Branch-and-price-and-cut for the electric vehicle relocation problem in one-way carsharing systems," Omega, Elsevier, vol. 109(C).
    7. Zhang, Li & Liu, Zhongshan & Yu, Lan & Fang, Ke & Yao, Baozhen & Yu, Bin, 2022. "Routing optimization of shared autonomous electric vehicles under uncertain travel time and uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    8. Li, Hongqi & Wang, Feilong & Zhan, Zhuopeng, 2024. "Drone routing problem with swarm synchronization," European Journal of Operational Research, Elsevier, vol. 314(2), pages 477-495.
    9. Su, E. & Qin, Hu & Li, Jiliu & Pan, Kai, 2023. "An exact algorithm for the pickup and delivery problem with crowdsourced bids and transshipment," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
    10. Wang, Naiyu & Meng, Qiang & Zhang, Canrong, 2023. "A branch-price-and-cut algorithm for the local container drayage problem with controllable vehicle interference," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    11. Li, Jiliu & Xu, Min & Sun, Peng, 2022. "Two-echelon capacitated vehicle routing problem with grouping constraints and simultaneous pickup and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 261-291.

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