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A Maximum Cluster Algorithm for Checking the Feasibility of Dial-A-Ride Instances

Author

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  • Lauri Häme

    (Department of Mathematics and Systems Analysis, Aalto University School of Science, 00076 Aalto, Finland)

  • Harri Hakula

    (Department of Mathematics and Systems Analysis, Aalto University School of Science, 00076 Aalto, Finland)

Abstract

The dial-a-ride problem (DARP) involves the dispatching of a fleet of vehicles to transport customers requesting service and is one of the most challenging tasks of combinatorial optimization. We study the DARP as a constraint satisfaction problem, where the goal is to find a feasible solution with respect to the time, capacity, and precedence constraints, or to prove infeasibility. The main contribution of our work is a new robust method for this problem formulation. The algorithm is based on a dynamic subroutine that finds for any set of customers a maximum cluster, that is, a maximal set of customers that can be served by a single vehicle. The performance of the algorithm is analyzed and evaluated by means of computational experiments, justifying the efficiency of the solution method.

Suggested Citation

  • Lauri Häme & Harri Hakula, 2015. "A Maximum Cluster Algorithm for Checking the Feasibility of Dial-A-Ride Instances," Transportation Science, INFORMS, vol. 49(2), pages 295-310, May.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:2:p:295-310
    DOI: 10.1287/trsc.2013.0495
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    References listed on IDEAS

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    6. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    7. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
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    Cited by:

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    2. Timo Gschwind & Michael Drexl, 2016. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Working Papers 1624, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    3. Mahmoudi, Monirehalsadat & Chen, Junhua & Shi, Tie & Zhang, Yongxiang & Zhou, Xuesong, 2019. "A cumulative service state representation for the pickup and delivery problem with transfers," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 351-380.
    4. 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.
    5. Yunlin Guan & Yun Wang & Xuedong Yan & Haonan Guo & Yi Zhao, 2022. "The One E-Ticket Customized Bus Service Mode for Passengers with Multiple Trips and the Routing Problem," Sustainability, MDPI, vol. 14(4), pages 1-17, February.

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