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Checking the Feasibility of Dial-a-Ride Instances Using Constraint Programming

Author

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  • Gerardo Berbeglia

    (HEC Montréal, Montréal H3T 2A7, Canada)

  • Gilles Pesant

    (Département de Génie Informatique et Génie Logiciel, École Polytechnique de Montréal, Montréal H3C 3A7, Canada)

  • Louis-Martin Rousseau

    (Département de Mathématiques et de Génie Industriel, École Polytechnique de Montréal, Montréal H3C 3A7, Canada)

Abstract

In the dial-a-ride problem (DARP), a fleet of vehicles must serve transportation requests made by users that need to be transported from an origin to a destination. In this paper we develop the first exact algorithm which is able to either efficiently prove the infeasibility or to provide a feasible solution. Such an algorithm could be used in a dynamic setting for determining whether it is possible or not to accept an incoming request. The algorithm includes solution space reduction procedures, and filtering algorithms for some DARP relaxations. Computational results show that the filtering algorithms are effective and that the resulting algorithm is advantageous on the more constrained instances.

Suggested Citation

  • Gerardo Berbeglia & Gilles Pesant & Louis-Martin Rousseau, 2011. "Checking the Feasibility of Dial-a-Ride Instances Using Constraint Programming," Transportation Science, INFORMS, vol. 45(3), pages 399-412, August.
    • Handle: RePEc:inm:ortrsc:v:45:y:2011:i:3:p:399-412
    DOI: 10.1287/trsc.1100.0336
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Schyns, M., 2015. "An ant colony system for responsive dynamic vehicle routing," European Journal of Operational Research, Elsevier, vol. 245(3), pages 704-718.
    2. Gilbert Laporte, 2016. "Scheduling issues in vehicle routing," Annals of Operations Research, Springer, vol. 236(2), pages 463-474, January.
    3. 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.
    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. Gilbert Laporte, 2016. "Scheduling issues in vehicle routing," Annals of Operations Research, Springer, vol. 236(2), pages 463-474, January.
    6. Sharif Azadeh, Sh. & Atasoy, Bilge & Ben-Akiva, Moshe E. & Bierlaire, M. & Maknoon, M.Y., 2022. "Choice-driven dial-a-ride problem for demand responsive mobility service," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 128-149.
    7. Gerardo Berbeglia & Gilles Pesant & Louis-Martin Rousseau, 2012. "Feasibility of the Pickup and Delivery Problem with Fixed Partial Routes: A Complexity Analysis," Transportation Science, INFORMS, vol. 46(3), pages 359-373, August.
    8. 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.
    9. 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.
    10. Farzaneh Karami & Wim Vancroonenburg & Greet Vanden Berghe, 2020. "A periodic optimization approach to dynamic pickup and delivery problems with time windows," Journal of Scheduling, Springer, vol. 23(6), pages 711-731, December.
    11. Fleckenstein, David & Klein, Robert & Steinhardt, Claudius, 2023. "Recent advances in integrating demand management and vehicle routing: A methodological review," European Journal of Operational Research, Elsevier, vol. 306(2), pages 499-518.
    12. Timo Gschwind & Michael Drexl, 2019. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 53(2), pages 480-491, March.
    13. 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.

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