IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v17y1983i2p133-145.html
   My bibliography  Save this article

Analysis of an O(N2) heuristic for the single vehicle many-to-many Euclidean dial-a-ride problem

Author

Listed:
  • Psaraftis, Harilaos N.

Abstract

We develop an O(N2) heuristic to solve the single vehicle many-to-many Euclidean Dial-A-Ride problem. The heuristic is based on the Minimum Spanning Tree of the modes of the problem. The algorithm's worst case performance is four times the length of the optimal Dial-A-Ride tour. An analysis of the algorithm's average performance reveals that in terms of sizes of single-vehicle problems that are likely to be encountered in the real world (up to 100 nodes) and in terms of computational complexity, the O(N2) heuristic performs equally well, or, in many cases, better than heuristics described earlier by Stein for the same problem. The performance of the heuristic exhibits statistical stability over a broad range of problem sizes.

Suggested Citation

  • Psaraftis, Harilaos N., 1983. "Analysis of an O(N2) heuristic for the single vehicle many-to-many Euclidean dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 17(2), pages 133-145, April.
    • Handle: RePEc:eee:transb:v:17:y:1983:i:2:p:133-145
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0191-2615(83)90041-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Citations

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


    Cited by:

    1. Matusiak, Marek & de Koster, René & Kroon, Leo & Saarinen, Jari, 2014. "A fast simulated annealing method for batching precedence-constrained customer orders in a warehouse," European Journal of Operational Research, Elsevier, vol. 236(3), pages 968-977.
    2. 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.
    3. Coslovich, Luca & Pesenti, Raffaele & Ukovich, Walter, 2006. "A two-phase insertion technique of unexpected customers for a dynamic dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1605-1615, December.
    4. Sayarshad, Hamid R. & Chow, Joseph Y.J., 2015. "A scalable non-myopic dynamic dial-a-ride and pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 539-554.
    5. Psaraftis, Harilaos N., 2011. "A multi-commodity, capacitated pickup and delivery problem: The single and two-vehicle cases," European Journal of Operational Research, Elsevier, vol. 215(3), pages 572-580, December.
    6. 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.
    7. Rui Yao & Shlomo Bekhor, 2021. "A Dynamic Tree Algorithm for Peer-to-Peer Ridesharing Matching," Networks and Spatial Economics, Springer, vol. 21(4), pages 801-837, December.

    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:eee:transb:v:17:y:1983:i:2:p:133-145. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    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.