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A rejected-reinsertion heuristic for the static Dial-A-Ride Problem

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  • Luo, Ying
  • Schonfeld, Paul

Abstract

We present here a new heuristic for the static multi-vehicle Dial-A-Ride Problem, which we call a rejected-reinsertion heuristic. Its main objective is to minimize the number of vehicles used to satisfy all the demand, subject to service quality constraints. Passenger deviation from desired time is minimized in the scheduling stage after the insertion position is determined. This method improves the basic parallel insertion heuristic in two aspects. First, a rejected-reinsertion operation is performed each time it is infeasible to insert a new request into the vehicle routes. Each assigned request close to the new request in time frame and geographic location is tentatively removed from its current vehicle and the new request is inserted into the best position in that vehicle route, followed by the reinsertion of the removed request elsewhere in the system. Of all available rejected-reinsertions, the least-cost one is then implemented. Second, an improvement procedure including trip reinsertion and trip exchange operations is implemented periodically. Two sets of problems are tested in a computational study. These show that the proposed heuristic achieves vehicle reductions of up to 17% over the parallel insertion heuristic and is very efficient computationally.

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  • Luo, Ying & Schonfeld, Paul, 2007. "A rejected-reinsertion heuristic for the static Dial-A-Ride Problem," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 736-755, August.
    • Handle: RePEc:eee:transb:v:41:y:2007:i:7:p:736-755
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    2. Rahman, Md Hishamur & Chen, Shijie & Sun, Yanshuo & Siddiqui, Muhammad Imran Younus & Mohebbi, Matthew & Marković, Nikola, 2023. "Integrating dial-a-ride with transportation network companies for cost efficiency: A Maryland case study," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    3. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    4. Karabuk, Suleyman, 2009. "A nested decomposition approach for solving the paratransit vehicle scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(4), pages 448-465, May.
    5. Liu, Mengyang & Luo, Zhixing & Lim, Andrew, 2015. "A branch-and-cut algorithm for a realistic dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 267-288.
    6. Huey-Kuo Chen & Huey-Wen Chou & Che-Fu Hsueh & Yen-Ju Yu, 2015. "The paired many-to-many pickup and delivery problem: an application," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 220-243, April.
    7. Yves Molenbruch & Kris Braekers & An Caris, 2017. "Typology and literature review for dial-a-ride problems," Annals of Operations Research, Springer, vol. 259(1), pages 295-325, December.
    8. 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.

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