IDEAS home Printed from https://ideas.repec.org/p/gro/rugsom/07010.html
   My bibliography  Save this paper

A dynamic day-ahead paratransit planning problem

Author

Listed:
  • Cremers, Marloes
  • Klein Haneveld, Wim
  • van der Vlerk, Maarten

    (Groningen University)

Abstract

We consider a dynamic planning problem for the transport of elderly and disabled people. The focus is on a decision to make one day ahead: which requests to serve with own vehicles, and which ones to assign to subcontractors, under uncertainty of late requests which are gradually revealed during the day of operation. We call this problem the Dynamic Day-ahead Paratransit Planning problem. The developed model is a nonstandard two-stage recourse model in which ideas from stochastic programming and online optimization are combined: in the first stage clustered requests are assigned to vehicles, and in the dynamic second-stage problem an event-driven approach is used to cluster the late requests once they are revealed and subsequently assign them to vehicles. A genetic algorithm is used to solve the model. Computational results are presented for randomly generated data sets. Furthermore, a comparison is made to a similar problem we studied earlier in which the simplifying but unrealistic assumption has been made that all late requests are revealed at the beginning of the day of operation.

Suggested Citation

  • Cremers, Marloes & Klein Haneveld, Wim & van der Vlerk, Maarten, 2007. "A dynamic day-ahead paratransit planning problem," Research Report 07010, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:07010
    as

    Download full text from publisher

    File URL: http://irs.ub.rug.nl/ppn/305430173
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Peter Kall & János Mayer, 2005. "Stochastic Linear Programming," International Series in Operations Research and Management Science, Springer, number 978-0-387-24440-2, September.
    2. 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.
    3. Irina Ioachim & Jacques Desrosiers & Yvan Dumas & Marius M. Solomon & Daniel Villeneuve, 1995. "A Request Clustering Algorithm for Door-to-Door Handicapped Transportation," Transportation Science, INFORMS, vol. 29(1), pages 63-78, February.
    4. Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
    5. Paolo Toth & Daniele Vigo, 1997. "Heuristic Algorithms for the Handicapped Persons Transportation Problem," Transportation Science, INFORMS, vol. 31(1), pages 60-71, February.
    Full references (including those not matched with items on IDEAS)

    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. repec:dgr:rugsom:07010 is not listed on IDEAS
    2. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
    3. Maria Cremers & Willem Klein Haneveld & Maarten Vlerk, 2009. "A two-stage model for a day-ahead paratransit planning problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(2), pages 323-341, May.
    4. Luo, Ying & Schonfeld, Paul, 2007. "A rejected-reinsertion heuristic for the static Dial-A-Ride Problem," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 736-755, August.
    5. Kirchler, Dominik & Wolfler Calvo, Roberto, 2013. "A Granular Tabu Search algorithm for the Dial-a-Ride Problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 120-135.
    6. 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.
    7. Andrew Lim & Zhenzhen Zhang & Hu Qin, 2017. "Pickup and Delivery Service with Manpower Planning in Hong Kong Public Hospitals," Transportation Science, INFORMS, vol. 51(2), pages 688-705, May.
    8. Lu, Quan & Dessouky, Maged M., 2006. "A new insertion-based construction heuristic for solving the pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 175(2), pages 672-687, December.
    9. Xiang, Zhihai & Chu, Chengbin & Chen, Haoxun, 2006. "A fast heuristic for solving a large-scale static dial-a-ride problem under complex constraints," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1117-1139, October.
    10. Mahmoudi, Monirehalsadat & Zhou, Xuesong, 2016. "Finding optimal solutions for vehicle routing problem with pickup and delivery services with time windows: A dynamic programming approach based on state–space–time network representations," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 19-42.
    11. Quadrifoglio, Luca & Dessouky, Maged M. & Ordóñez, Fernando, 2008. "A simulation study of demand responsive transit system design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(4), pages 718-737, May.
    12. Liu, Mengyang & Luo, Zhixing & Lim, Andrew, 2015. "A branch-and-cut algorithm for a realistic dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 267-288.
    13. Paquette, Julie & Cordeau, Jean-François & Laporte, Gilbert & Pascoal, Marta M.B., 2013. "Combining multicriteria analysis and tabu search for dial-a-ride problems," Transportation Research Part B: Methodological, Elsevier, vol. 52(C), pages 1-16.
    14. Zhang, Zhenzhen & Liu, Mengyang & Lim, Andrew, 2015. "A memetic algorithm for the patient transportation problem," Omega, Elsevier, vol. 54(C), pages 60-71.
    15. Dessouky, Maged M. & Ordóñez, Fernando & Quadrifoglio, Luca, 2005. "Productivity and Cost-Effectiveness of Demand Responsive Transit Systems," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9qj1d5s0, Institute of Transportation Studies, UC Berkeley.
    16. Liu, Ran & Xie, Xiaolan & Augusto, Vincent & Rodriguez, Carlos, 2013. "Heuristic algorithms for a vehicle routing problem with simultaneous delivery and pickup and time windows in home health care," European Journal of Operational Research, Elsevier, vol. 230(3), pages 475-486.
    17. Hou, Liwen & Li, Dong & Zhang, Dali, 2018. "Ride-matching and routing optimisation: Models and a large neighbourhood search heuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 143-162.
    18. Mitrovic-Minic, Snezana & Laporte, Gilbert, 2004. "Waiting strategies for the dynamic pickup and delivery problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 635-655, August.
    19. Zhao, Jiamin & Dessouky, Maged, 2008. "Service capacity design problems for mobility allowance shuttle transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 135-146, February.
    20. Häme, Lauri, 2011. "An adaptive insertion algorithm for the single-vehicle dial-a-ride problem with narrow time windows," European Journal of Operational Research, Elsevier, vol. 209(1), pages 11-22, February.
    21. 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.

    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:gro:rugsom:07010. 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: Hanneke Tamling (email available below). General contact details of provider: https://edirc.repec.org/data/ferugnl.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.