IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v35y2001i2p165-180.html
   My bibliography  Save this article

Models and Algorithms for Single-Depot Vehicle Scheduling

Author

Listed:
  • Richard Freling

    (Econometric Institute, Erasmus University, Rotterdam, The Netherlands)

  • Albert P. M. Wagelmans

    (DEIO, Universidade de Lisboa, Lisbon, Portugal)

  • José M. Pinto Paixão

    (DEIO, Universidade de Lisboa, Lisbon, Portugal)

Abstract

Vehicle scheduling is the process of assigning vehicles to a set of predetermined trips with fixed starting and ending times, while minimizing capital and operating costs. This paper considers modeling, algorithmic, and computational aspects of the polynomially solvable case in which there is a single depot and vehicles are identical. A quasiassignment formulation is reviewed and an alternative asymmetric assignment formulation is given. The main contributions of the paper are a new two-phase approach which is valid in the case of a special cost structure, an auction algorithm for the quasiassignment problem, a core-oriented approach, and an extensive computational study. New algorithms are compared with the most successful algorithms for the vehicle-scheduling problem, using both randomly generated and real-life data. The new algorithms show a significant performance improvement with respect to computation time. Such improvement can, for example, be very important when this particular vehicle-scheduling problem appears as a subproblem in more complex vehicle- and crew-scheduling problems.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:35:y:2001:i:2:p:165-180
    DOI: 10.1287/trsc.35.2.165.10135
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.35.2.165.10135
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.35.2.165.10135?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Mauro Dell'Amico & Matteo Fischetti & Paolo Toth, 1993. "Heuristic Algorithms for the Multiple Depot Vehicle Scheduling Problem," Management Science, INFORMS, vol. 39(1), pages 115-125, January.
    2. Forbes, M. A. & Holt, J. N. & Watts, A. M., 1994. "An exact algorithm for multiple depot bus scheduling," European Journal of Operational Research, Elsevier, vol. 72(1), pages 115-124, January.
    3. Schwartz, B. L., 1994. "A computational analysis of the Auction algorithm," European Journal of Operational Research, Elsevier, vol. 74(1), pages 161-169, April.
    4. Bokinge, Ulf & Hasselstrom, Dick, 1980. "Improved vehicle scheduling in public transport through systematic changes in the time-table," European Journal of Operational Research, Elsevier, vol. 5(6), pages 388-395, December.
    5. 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.
    6. Freling, R. & Pinto Paixão, J.M. & Wagelmans, A.P.M., 1995. "Models and Algorithms for Vehicle Scheduling," Econometric Institute Research Papers EI 9562-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Markó Horváth & Tamás Kis, 2019. "Computing strong lower and upper bounds for the integrated multiple-depot vehicle and crew scheduling problem with branch-and-price," 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. 27(1), pages 39-67, March.
    2. Weiszer, Michal & Chen, Jun & Locatelli, Giorgio, 2015. "An integrated optimisation approach to airport ground operations to foster sustainability in the aviation sector," Applied Energy, Elsevier, vol. 157(C), pages 567-582.
    3. Satish Sharma & Somesh Bhattacharya & Deep Kiran & Bin Hu & Matthias Prandtstetter & Brian Azzopardi, 2023. "Optimizing the Scheduling of Electrified Public Transport System in Malta," Energies, MDPI, vol. 16(13), pages 1-16, June.
    4. 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.
    5. Tomoshi Otsuki & Kazuyuki Aihara, 2016. "New variable depth local search for multiple depot vehicle scheduling problems," Journal of Heuristics, Springer, vol. 22(4), pages 567-585, August.
    6. 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.
    7. J Faulin & A García del Valle, 2008. "Solving the capacitated vehicle routing problem using the ALGELECT electrostatic algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(12), pages 1685-1695, December.
    8. 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.
    9. Richard Eglese & Sofoclis Zambirinis, 2018. "Disruption management in vehicle routing and scheduling for road freight transport: a review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 1-17, April.
    10. Bixuan Sun & Jeffrey Apland, 2019. "Operational planning of public transit with economic and environmental goals: application to the Minneapolis–St. Paul bus system," Public Transport, Springer, vol. 11(2), pages 237-267, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kulkarni, Sarang & Krishnamoorthy, Mohan & Ranade, Abhiram & Ernst, Andreas T. & Patil, Rahul, 2018. "A new formulation and a column generation-based heuristic for the multiple depot vehicle scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 457-487.
    2. 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.
    3. Desaulniers, Guy & Lavigne, June & Soumis, Francois, 1998. "Multi-depot vehicle scheduling problems with time windows and waiting costs," European Journal of Operational Research, Elsevier, vol. 111(3), pages 479-494, December.
    4. Andreas Löbel, 1998. "Vehicle Scheduling in Public Transit and Lagrangean Pricing," Management Science, INFORMS, vol. 44(12-Part-1), pages 1637-1649, December.
    5. Matteo Fischetti & Andrea Lodi & Silvano Martello & Paolo Toth, 2001. "A Polyhedral Approach to Simplified Crew Scheduling and Vehicle Scheduling Problems," Management Science, INFORMS, vol. 47(6), pages 833-850, June.
    6. Niu, Huimin & Zhou, Xuesong & Tian, Xiaopeng, 2018. "Coordinating assignment and routing decisions in transit vehicle schedules: A variable-splitting Lagrangian decomposition approach for solution symmetry breaking," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 70-101.
    7. Timo Gschwind & Stefan Irnich & Simon Emde & Christian Tilk, 2018. "Branch-Cut-and-Price for the Scheduling Deliveries with Time Windows in a Direct Shipping Network," Working Papers 1805, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    8. Ahmed Hadjar & Odile Marcotte & François Soumis, 2006. "A Branch-and-Cut Algorithm for the Multiple Depot Vehicle Scheduling Problem," Operations Research, INFORMS, vol. 54(1), pages 130-149, February.
    9. Timo Gschwind & Stefan Irnich & Christian Tilk & Simon Emde, 2020. "Branch-cut-and-price for scheduling deliveries with time windows in a direct shipping network," Journal of Scheduling, Springer, vol. 23(3), pages 363-377, June.
    10. Van der Perre, Peter P. G. & Van Oudheusden, Dirk D. L., 1997. "Reducing depot-related costs of large bus operators a case study in Bangkok," European Journal of Operational Research, Elsevier, vol. 96(1), pages 45-53, January.
    11. Chris Martin & David Jones & Pinar Keskinocak, 2003. "Optimizing On-Demand Aircraft Schedules for Fractional Aircraft Operators," Interfaces, INFORMS, vol. 33(5), pages 22-35, October.
    12. 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.
    13. Sundararajan Arunapuram & Kamlesh Mathur & Daniel Solow, 2003. "Vehicle Routing and Scheduling with Full Truckloads," Transportation Science, INFORMS, vol. 37(2), pages 170-182, May.
    14. Ciancio, Claudio & Laganà, Demetrio & Musmanno, Roberto & Santoro, Francesco, 2018. "An integrated algorithm for shift scheduling problems for local public transport companies," Omega, Elsevier, vol. 75(C), pages 139-153.
    15. Kliewer, Natalia & Mellouli, Taieb & Suhl, Leena, 2006. "A time-space network based exact optimization model for multi-depot bus scheduling," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1616-1627, December.
    16. 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.
    17. Jing-Quan Li, 2014. "Transit Bus Scheduling with Limited Energy," Transportation Science, INFORMS, vol. 48(4), pages 521-539, November.
    18. Li, Jing-Quan & Borenstein, Denis & Mirchandani, Pitu B., 2008. "Truck scheduling for solid waste collection in the City of Porto Alegre, Brazil," Omega, Elsevier, vol. 36(6), pages 1133-1149, December.
    19. Gkiotsalitis, K. & Iliopoulou, C. & Kepaptsoglou, K., 2023. "An exact approach for the multi-depot electric bus scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 306(1), pages 189-206.
    20. Grunert, Tore & Sebastian, Hans-Jurgen, 2000. "Planning models for long-haul operations of postal and express shipment companies," European Journal of Operational Research, Elsevier, vol. 122(2), pages 289-309, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:35:y:2001:i:2:p:165-180. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.