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Heterogeneous vehicle pickup and delivery problems: Formulation and exact solution

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  • Sun, Wei
  • Yu, Yang
  • Wang, Junwei

Abstract

The heterogeneous green pickup and delivery problem (GPDP) aims to minimize carbon emissions of pickups and deliveries by a fleet of heterogeneous vehicles. We propose the first exact algorithm for solving the heterogeneous GPDP. This exact algorithm is based on a set partitioning model and the key characteristics of its optimal solution. We prove that the optimal solution is composed of the optimal trips of heterogeneous vehicles; thus, the solution space is significantly reduced by cutting the non-optimal trips. The proposed exact algorithm can rapidly find the optimal solution of the largest-scale instance from Li & Lim benchmarks and three types of vehicles. The exact algorithm is also validated by solving a practical case of heterogeneous GPDP in China. Based on the extensive experiments, we conclude an interesting managerial insight that heterogeneous vehicles can always effectively reduce carbon emissions except for two situations.

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  • Sun, Wei & Yu, Yang & Wang, Junwei, 2019. "Heterogeneous vehicle pickup and delivery problems: Formulation and exact solution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 181-202.
    • Handle: RePEc:eee:transe:v:125:y:2019:i:c:p:181-202
    DOI: 10.1016/j.tre.2019.03.012
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    1. M. L. Balinski & R. E. Quandt, 1964. "On an Integer Program for a Delivery Problem," Operations Research, INFORMS, vol. 12(2), pages 300-304, April.
    2. Wang, Junwei & Yu, Yang & Tang, Jiafu, 2018. "Compensation and profit distribution for cooperative green pickup and delivery problem," Transportation Research Part B: Methodological, Elsevier, vol. 113(C), pages 54-69.
    3. James P. Kelly & Jiefeng Xu, 1999. "A Set-Partitioning-Based Heuristic for the Vehicle Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 161-172, May.
    4. Chen, Daqiang & Ignatius, Joshua & Sun, Danzhi & Goh, Mark & Zhan, Shalei, 2018. "Impact of congestion pricing schemes on emissions and temporal shift of freight transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 77-105.
    5. Yaoming Zhou & Jiuh‐Biing Sheu & Junwei Wang, 2017. "Robustness Assessment of Urban Road Network with Consideration of Multiple Hazard Events," Risk Analysis, John Wiley & Sons, vol. 37(8), pages 1477-1494, August.
    6. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    7. Roberto Baldacci & Enrico Bartolini & Aristide Mingozzi, 2011. "An Exact Algorithm for the Pickup and Delivery Problem with Time Windows," Operations Research, INFORMS, vol. 59(2), pages 414-426, April.
    8. Fukasawa, Ricardo & He, Qie & Song, Yongjia, 2016. "A disjunctive convex programming approach to the pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 61-79.
    9. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2014. "The fleet size and mix pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 239-254.
    10. Franceschetti, Anna & Honhon, Dorothée & Van Woensel, Tom & Bektaş, Tolga & Laporte, Gilbert, 2013. "The time-dependent pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 265-293.
    11. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "A review of recent research on green road freight transportation," European Journal of Operational Research, Elsevier, vol. 237(3), pages 775-793.
    12. Gao, Jingzhe & Xiao, Zhongdong & Cao, Binbin & Chai, Qiangfei, 2018. "Green supply chain planning considering consumer’s transportation process," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 311-330.
    13. Ricardo Fukasawa & Qie He & Yongjia Song, 2016. "A Branch-Cut-and-Price Algorithm for the Energy Minimization Vehicle Routing Problem," Transportation Science, INFORMS, vol. 50(1), pages 23-34, February.
    14. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "Thirty years of heterogeneous vehicle routing," European Journal of Operational Research, Elsevier, vol. 249(1), pages 1-21.
    15. Roy E. Marsten, 1974. "An Algorithm for Large Set Partitioning Problems," Management Science, INFORMS, vol. 20(5), pages 774-787, January.
    16. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    17. Tang, Jiafu & Yu, Yang & Li, Jia, 2015. "An exact algorithm for the multi-trip vehicle routing and scheduling problem of pickup and delivery of customers to the airport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 114-132.
    18. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "The bi-objective Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 464-478.
    19. Zhou, Yaoming & Wang, Junwei & Huang, George Q., 2019. "Efficiency and robustness of weighted air transport networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 14-26.
    20. Yu, Yang & Wu, Yuting & Wang, Junwei, 2019. "Bi-objective green ride-sharing problem: Model and exact method," International Journal of Production Economics, Elsevier, vol. 208(C), pages 472-482.
    21. Braekers, Kris & Caris, An & Janssens, Gerrit K., 2014. "Exact and meta-heuristic approach for a general heterogeneous dial-a-ride problem with multiple depots," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 166-186.
    22. Xiao, Yiyong & Konak, Abdullah, 2016. "The heterogeneous green vehicle routing and scheduling problem with time-varying traffic congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 146-166.
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    Cited by:

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    7. Fu, Zhexi & Chow, Joseph Y.J., 2022. "The pickup and delivery problem with synchronized en-route transfers for microtransit planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
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