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A Bundle Method for Integrated Multi-Depot Vehicle and Duty Scheduling in Public Transit

In: Computer-aided Systems in Public Transport

Author

Listed:
  • Ralf Borndörfer

    (Zuse Institute Berlin)

  • Andreas Löbel

    (Zuse Institute Berlin)

  • Steffen Weider

    (Zuse Institute Berlin)

Abstract

This article proposes a Lagrangean relaxation approach to solve integrated duty and vehicle scheduling problems arising in public transport. The approach is based on a version of the proximal bundle method for the solution of concave decomposable functions that is adapted for the approximate evaluation of the vehicle and duty scheduling components. The primal and dual information generated by this bundle method is used to guide a branch-and-bound type algorithm. Computational results for large-scale real-world integrated vehicle and duty scheduling problems with up to 1,500 timetabled trips are reported. Compared with the results of a classical sequential approach and with reference solutions, integrated scheduling offers remarkable potentials in savings and drivers’ satisfaction.

Suggested Citation

  • Ralf Borndörfer & Andreas Löbel & Steffen Weider, 2008. "A Bundle Method for Integrated Multi-Depot Vehicle and Duty Scheduling in Public Transit," Lecture Notes in Economics and Mathematical Systems, in: Mark Hickman & Pitu Mirchandani & Stefan Voß (ed.), Computer-aided Systems in Public Transport, pages 3-24, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-73312-6_1
    DOI: 10.1007/978-3-540-73312-6_1
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    Citations

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    Cited by:

    1. Mesquita, Marta & Moz, Margarida & Paias, Ana & Pato, Margarida, 2013. "A decomposition approach for the integrated vehicle-crew-roster problem with days-off pattern," European Journal of Operational Research, Elsevier, vol. 229(2), pages 318-331.
    2. Sistig, Hubert Maximilian & Sauer, Dirk Uwe, 2023. "Metaheuristic for the integrated electric vehicle and crew scheduling problem," Applied Energy, Elsevier, vol. 339(C).
    3. Perumal, Shyam S.G. & Lusby, Richard M. & Larsen, Jesper, 2022. "Electric bus planning & scheduling: A review of related problems and methodologies," European Journal of Operational Research, Elsevier, vol. 301(2), pages 395-413.
    4. Pan, Hanchuan & Liu, Zhigang & Yang, Lixing & Liang, Zhe & Wu, Qiang & Li, Sijie, 2021. "A column generation-based approach for integrated vehicle and crew scheduling on a single metro line with the fully automatic operation system by partial supervision," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    5. Shyam S. G. Perumal & Jesper Larsen & Richard M. Lusby & Morten Riis & Tue R. L. Christensen, 2022. "A column generation approach for the driver scheduling problem with staff cars," Public Transport, Springer, vol. 14(3), pages 705-738, October.

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