IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v26y2023i5d10.1007_s10951-022-00757-3.html
   My bibliography  Save this article

Graph representation of the fixed route dial-a-ride problem

Author

Listed:
  • Tal Grinshpoun

    (Ariel University)

  • Elad Shufan

    (SCE – Shamoon College of Engineering)

  • Hagai Ilani

    (SCE – Shamoon College of Engineering)

  • Vadim Levit

    (Ben-Gurion University of the Negev)

  • Haya Brama

    (Ariel University)

Abstract

The fixed route dial-a-ride problem (FRDARP) is a variant of the famous dial-a-ride problem, in which all the requests are chosen between terminals that are located along a fixed route. A reduction to the shortest path problem enables finding an optimal solution for FRDARP in polynomial time. However, the basic graph construction ends up with a huge graph, which makes the reduction impractical due to its memory consumption. To this end, we propose several pruning heuristics that enable us to considerably reduce the size of the graph through its dynamic construction. Additionally, we utilize the special features of the problem to apply parallelization to the graph traversal process. Our experiments show that each of the proposed heuristics on its own improves the practical solvability of FRDARP. Moreover, using them together is considerably more efficient than any single heuristic. Finally, the experiments confirm the efficiency of our suggested parallelization policy.

Suggested Citation

  • Tal Grinshpoun & Elad Shufan & Hagai Ilani & Vadim Levit & Haya Brama, 2023. "Graph representation of the fixed route dial-a-ride problem," Journal of Scheduling, Springer, vol. 26(5), pages 479-495, October.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00757-3
    DOI: 10.1007/s10951-022-00757-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-022-00757-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10951-022-00757-3?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gerardo Berbeglia & Jean-François Cordeau & Gilbert Laporte, 2012. "A Hybrid Tabu Search and Constraint Programming Algorithm for the Dynamic Dial-a-Ride Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 343-355, August.
    2. Yvan Dumas & François Soumis & Jacques Desrosiers, 1990. "Technical Note—Optimizing the Schedule for a Fixed Vehicle Path with Convex Inconvenience Costs," Transportation Science, INFORMS, vol. 24(2), pages 145-152, May.
    3. Willem E. de Paepe & Jan Karel Lenstra & Jiri Sgall & René A. Sitters & Leen Stougie, 2004. "Computer-Aided Complexity Classification of Dial-a-Ride Problems," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 120-132, May.
    4. 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.
    5. 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.
    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. Lian, Ying & Lucas, Flavien & Sörensen, Kenneth, 2024. "Prepositioning can improve the performance of a dynamic stochastic on-demand public bus system," European Journal of Operational Research, Elsevier, vol. 312(1), pages 338-356.
    2. Mourad, Abood & Puchinger, Jakob & Chu, Chengbin, 2019. "A survey of models and algorithms for optimizing shared mobility," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 323-346.
    3. 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.
    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. Hai Wang, 2019. "Routing and Scheduling for a Last-Mile Transportation System," Service Science, INFORMS, vol. 53(1), pages 131-147, February.
    6. MELIS, Lissa & SÖRENSEN, Kenneth, 2021. "The real-time on-demand bus routing problem: What is the cost of dynamic requests?," Working Papers 2021003, University of Antwerp, Faculty of Business and Economics.
    7. Trotta, Manuel & Archetti, Claudia & Feillet, Dominique & Quilliot, Alain, 2022. "Pickup and delivery problems with autonomous vehicles on rings," European Journal of Operational Research, Elsevier, vol. 300(1), pages 221-236.
    8. Bhoopalam, Anirudh Kishore & Agatz, Niels & Zuidwijk, Rob, 2018. "Planning of truck platoons: A literature review and directions for future research," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 212-228.
    9. Gilbert Laporte, 2016. "Scheduling issues in vehicle routing," Annals of Operations Research, Springer, vol. 236(2), pages 463-474, January.
    10. Omar Rifki, 2024. "Autonomous Ride-Sharing Service Using Graph Embedding and Dial-a-Ride Problem: Application to the Last-Mile Transit in Lyon City," Mathematics, MDPI, vol. 12(4), pages 1-17, February.
    11. Masmoudi, Mohamed Amine & Hosny, Manar & Demir, Emrah & Genikomsakis, Konstantinos N. & Cheikhrouhou, Naoufel, 2018. "The dial-a-ride problem with electric vehicles and battery swapping stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 392-420.
    12. Su, Yue & Dupin, Nicolas & Puchinger, Jakob, 2023. "A deterministic annealing local search for the electric autonomous dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1091-1111.
    13. Mina Roohnavazfar & Seyed Hamid Reza Pasandideh, 2022. "Decomposition algorithm for the multi-trip single vehicle routing problem with AND-type precedence constraints," Operational Research, Springer, vol. 22(4), pages 4253-4285, September.
    14. Pietro Mariano & Marco Trolese & David Kastelec & Mateja Bitenc & Deja Jurgec, 2023. "Designing Mobility Policies for Vulnerable Users Employing the Living Lab Approach: Cases of a Demand-Responsive Transit Service in Ljubljana and Maribor," Sustainability, MDPI, vol. 15(20), pages 1-15, October.
    15. Rossana Cavagnini & Valentina Morandi, 2021. "Implementing Horizontal Cooperation in Public Transport and Parcel Deliveries: The Cooperative Share-A-Ride Problem," Sustainability, MDPI, vol. 13(8), pages 1-20, April.
    16. Hörcher, Daniel & Tirachini, Alejandro, 2021. "A review of public transport economics," Economics of Transportation, Elsevier, vol. 25(C).
    17. Ritzinger, Ulrike & Puchinger, Jakob & Rudloff, Christian & Hartl, Richard F., 2022. "Comparison of anticipatory algorithms for a dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 301(2), pages 591-608.
    18. Gilbert Laporte, 2016. "Scheduling issues in vehicle routing," Annals of Operations Research, Springer, vol. 236(2), pages 463-474, January.
    19. Zhang, Li & Liu, Zhongshan & Yu, Lan & Fang, Ke & Yao, Baozhen & Yu, Bin, 2022. "Routing optimization of shared autonomous electric vehicles under uncertain travel time and uncertain service time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    20. Gaul, Daniela & Klamroth, Kathrin & Stiglmayr, Michael, 2022. "Event-based MILP models for ridepooling applications," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1048-1063.

    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:spr:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00757-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.