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An exact algorithm for the multi-trip vehicle routing and scheduling problem of pickup and delivery of customers to the airport

Author

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  • Tang, Jiafu
  • Yu, Yang
  • Li, Jia

Abstract

Door-to-Door service of Pickup and Delivery of Customers to the Airport (D2PDCA) is a new service provided by certain Airline Ticket Sales Agencies (ATSAs) in China. This new service provides an attractive alternative way by picking up customer at this/her specified position and at any time he/she preferred and delivering to the airport more conveniently than airport shuttle and thus earn high customer service quality. Compared with the single-trip mode, the multi-trip mode of D2PDCA (MTM-D2PDCA) service can reduce travel distances, the number of vehicles required and the operating cost. To obtain the exact solution of the MTM-D2PDCA problem, we propose a novel, exact algorithm based on the trip-chain-oriented set-partitioning (TCO-SP) model, where a trip-chain represents multiple trips made by a specific vehicle. In the exact algorithm, we propose an improved label-correcting method to remove infeasible trip-chains quickly and thus speed the search process. Based on the feasible trip-chains, the MTM-D2PDCA problem is formulated as the novel TCO-SP model, which can be solved exactly by the optimization software CPLEX. In addition, we present several mathematical insights into the relationship between the number of trip-chains and the number of local optimal trips that are applicable in both theory and practice. Extensive experiments are conducted to illustrate the application of the model and demonstrate the cost savings of the MTM-D2PDCA mode over the single-trip mode and provide managerial insights into successfully operating a MTM-D2PDCA service.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transe:v:73:y:2015:i:c:p:114-132
    DOI: 10.1016/j.tre.2014.11.001
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    References listed on IDEAS

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    1. Liu, Shuguang & Huang, Weilai & Ma, Huiming, 2009. "An effective genetic algorithm for the fleet size and mix vehicle routing problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 434-445, May.
    2. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    3. Qureshi, A.G. & Taniguchi, E. & Yamada, T., 2009. "An exact solution approach for vehicle routing and scheduling problems with soft time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 960-977, November.
    4. 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.
    5. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2010. "An exact algorithm for a vehicle routing problem with time windows and multiple use of vehicles," European Journal of Operational Research, Elsevier, vol. 202(3), pages 756-763, May.
    6. J C S Brandão & A Mercer, 1998. "The multi-trip vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 799-805, August.
    7. Desrochers, Martin & Soumis, Francois, 1988. "A reoptimization algorithm for the shortest path problem with time windows," European Journal of Operational Research, Elsevier, vol. 35(2), pages 242-254, May.
    8. Ann Melissa Campbell & Martin Savelsbergh, 2004. "Efficient Insertion Heuristics for Vehicle Routing and Scheduling Problems," Transportation Science, INFORMS, vol. 38(3), pages 369-378, August.
    9. Brandao, Jose & Mercer, Alan, 1997. "A tabu search algorithm for the multi-trip vehicle routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 180-191, July.
    10. Li, Jing-Quan & Mirchandani, Pitu B. & Borenstein, Denis, 2009. "A Lagrangian heuristic for the real-time vehicle rescheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 419-433, May.
    11. Yu, Bin & Yang, Zhong Zhen, 2011. "An ant colony optimization model: The period vehicle routing problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(2), pages 166-181, March.
    12. Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
    13. Gulczynski, Damon & Golden, Bruce & Wasil, Edward, 2010. "The split delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 612-626, September.
    14. Derigs, Ulrich & Kurowsky, René & Vogel, Ulrich, 2011. "Solving a real-world vehicle routing problem with multiple use of tractors and trailers and EU-regulations for drivers arising in air cargo road feeder services," European Journal of Operational Research, Elsevier, vol. 213(1), pages 309-319, August.
    15. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2007. "An exact algorithm for a single-vehicle routing problem with time windows and multiple routes," European Journal of Operational Research, Elsevier, vol. 178(3), pages 755-766, May.
    16. Mads Jepsen & Bjørn Petersen & Simon Spoorendonk & David Pisinger, 2008. "Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows," Operations Research, INFORMS, vol. 56(2), pages 497-511, April.
    17. Zhong, Yingjie & Cole, Michael H., 2005. "A vehicle routing problem with backhauls and time windows: a guided local search solution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(2), pages 131-144, March.
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