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A Robust Solution Approach to the Dynamic Vehicle Scheduling Problem

Author

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  • Dennis Huisman

    (Erasmus Center for Optimization in Public Transport (ECOPT), and Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, NL-3000 DR Rotterdam, The Netherlands)

  • Richard Freling

    (In memoriam: Richard Freling passed away on January 29, 2002, at the age of 34. He was with Erasmus Center for Optimization in Public Transport (ECOPT), and Econometric Institute, Erasmus University Rotterdam, The Netherlands)

  • Albert P. M. Wagelmans

    (Erasmus Center for Optimization in Public Transport (ECOPT), and Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, NL-3000 DR Rotterdam, The Netherlands)

Abstract

This paper presents a solution approach to the dynamic vehicle scheduling problem. This approach consists of solving a sequence of optimization problems, where we take into account different scenarios for future travel times. We discuss the potential benefit of our approach compared to the traditional one, where the vehicle scheduling problem is solved only once for a whole period and the travel times are assumed to be fixed. Because in the multiple-depot case we cannot solve the problem exactly within reasonable computation time, we use a “cluster-reschedule” heuristic where we first assign trips to depots by solving the static problem and then solve dynamic single-depot problems. We use new mathematical formulations of these problems that allow fast solution by standard optimization software. Results of a computational study with real-life data are presented, in which we compare different variants of our approach and perform a sensitivity analysis with respect to deviations of the actual travel times from estimated ones.

Suggested Citation

  • Dennis Huisman & Richard Freling & Albert P. M. Wagelmans, 2004. "A Robust Solution Approach to the Dynamic Vehicle Scheduling Problem," Transportation Science, INFORMS, vol. 38(4), pages 447-458, November.
    • Handle: RePEc:inm:ortrsc:v:38:y:2004:i:4:p:447-458
    DOI: 10.1287/trsc.1030.0069
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    References listed on IDEAS

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    1. Richard Freling & Albert P. M. Wagelmans & José M. Pinto Paixão, 2001. "Models and Algorithms for Single-Depot Vehicle Scheduling," Transportation Science, INFORMS, vol. 35(2), pages 165-180, May.
    2. Celso C. Ribeiro & François Soumis, 1994. "A Column Generation Approach to the Multiple-Depot Vehicle Scheduling Problem," Operations Research, INFORMS, vol. 42(1), pages 41-52, February.
    3. Warren B. Powell & Michael T. Towns & Arun Marar, 2000. "On the Value of Optimal Myopic Solutions for Dynamic Routing and Scheduling Problems in the Presence of User Noncompliance," Transportation Science, INFORMS, vol. 34(1), pages 67-85, February.
    4. Knut Haase & Guy Desaulniers & Jacques Desrosiers, 2001. "Simultaneous Vehicle and Crew Scheduling in Urban Mass Transit Systems," Transportation Science, INFORMS, vol. 35(3), pages 286-303, August.
    5. Soumia Ichoua & Michel Gendreau & Jean-Yves Potvin, 2000. "Diversion Issues in Real-Time Vehicle Dispatching," Transportation Science, INFORMS, vol. 34(4), pages 426-438, November.
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    Citations

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    Cited by:

    1. Huisman, Dennis & Wagelmans, Albert P.M., 2006. "A solution approach for dynamic vehicle and crew scheduling," European Journal of Operational Research, Elsevier, vol. 172(2), pages 453-471, July.
    2. Li, Jing-Quan & Mirchandani, Pitu B. & Borenstein, Denis, 2009. "Real-time vehicle rerouting problems with time windows," European Journal of Operational Research, Elsevier, vol. 194(3), pages 711-727, May.
    3. Uçar, Ezgi & İlker Birbil, Ş. & Muter, İbrahim, 2017. "Managing disruptions in the multi-depot vehicle scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 249-269.
    4. Bastian Amberg & Boris Amberg & Natalia Kliewer, 2019. "Robust Efficiency in Urban Public Transportation: Minimizing Delay Propagation in Cost-Efficient Bus and Driver Schedules," Service Science, INFORMS, vol. 53(1), pages 89-112, February.
    5. Ricard, Léa & Desaulniers, Guy & Lodi, Andrea & Rousseau, Louis-Martin, 2024. "Increasing schedule reliability in the multiple depot vehicle scheduling problem with stochastic travel time," Omega, Elsevier, vol. 127(C).
    6. Balázs Dávid & Miklós Krész, 2017. "The dynamic vehicle rescheduling problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(4), pages 809-830, December.
    7. Dennis Huisman & Richard Freling & Albert P. M. Wagelmans, 2005. "Multiple-Depot Integrated Vehicle and Crew Scheduling," Transportation Science, INFORMS, vol. 39(4), pages 491-502, November.
    8. Guedes, Pablo C. & Borenstein, Denis, 2018. "Real-time multi-depot vehicle type rescheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 217-234.
    9. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.
    10. van Lieshout, R.N. & Mulder, J. & Huisman, D., 2016. "The Vehicle Rescheduling Problem with Retiming," Econometric Institute Research Papers EI2016-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Shen, Yindong & Xu, Jia & Li, Jingpeng, 2016. "A probabilistic model for vehicle scheduling based on stochastic trip times," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 19-31.

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