IDEAS home Printed from https://ideas.repec.org/p/gro/rugsom/04a27.html
   My bibliography  Save this paper

Iterative Patching and the Asymmetric Traveling Salesman Problem

Author

Listed:
  • Turkensteen, Marcel
  • Ghosh, Diptesh
  • Goldengorin, Boris
  • Sierksma, Gerard

    (Groningen University)

Abstract

Although Branch and Bound (BnB) methods are among the most widely used techniques for solving hard problems, it is still a challenge to make these methods smarter. In this paper, we investigate iterative patching, a technique in which a fixed patching procedure is applied at each node of the BnB search tree for the Asymmetric Traveling Salesman Problem. Computational experiments show that iterative patching results in general in search trees that are smaller than the usual classical BnB trees, and that solution times are lower for usual random and sparse instances. Furthermore, it turns out that, on average, iterative patching with the Contract-or-Patch procedure of Glover, Gutin, Yeo and Zverovich (2001) and the Karp-Steele procedure are the fastest, and that ?iterative? Modified Karp-Steele patching generates the smallest search trees.

Suggested Citation

  • Turkensteen, Marcel & Ghosh, Diptesh & Goldengorin, Boris & Sierksma, Gerard, 2004. "Iterative Patching and the Asymmetric Traveling Salesman Problem," Research Report 04A27, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:04a27
    as

    Download full text from publisher

    File URL: http://irs.ub.rug.nl/ppn/274569213
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Glover, Fred & Gutin, Gregory & Yeo, Anders & Zverovich, Alexey, 2001. "Construction heuristics for the asymmetric TSP," European Journal of Operational Research, Elsevier, vol. 129(3), pages 555-568, March.
    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. Kampars Janis & Shmite Elina, 2014. "STORN: Solution to Traversal of Road Networks/ RCTI: izbraucama ceļu tīkla risinājums/ РПДС: Решение дорожных сетей для проезда," Information Technology and Management Science, Sciendo, vol. 17(1), pages 74-80, December.
    2. Jamal Ouenniche & Prasanna K. Ramaswamy & Michel Gendreau, 2017. "A dual local search framework for combinatorial optimization problems with TSP application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1377-1398, November.

    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:04a27 is not listed on IDEAS
    2. Orlin, James & Sharma, Dushyant, 2003. "The Extended Neighborhood: Definition And Characterization," Working papers 4392-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    3. Nikolakopoulos, Athanassios & Sarimveis, Haralambos, 2007. "A threshold accepting heuristic with intense local search for the solution of special instances of the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1911-1929, March.
    4. Graf, Benjamin, 2021. "Preemptive stacker crane problem: Extending tree-based properties and construction heuristics," European Journal of Operational Research, Elsevier, vol. 292(2), pages 532-547.
    5. Jäger, G. & Goldengorin, B., 2005. "How to make a greedy heuristic for the asymmetric traveling salesman problem competitive," Research Report 05A11, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    6. Xuekai Cen & Kanghui Ren & Yiying Cai & Qun Chen, 2023. "Designing Flexible-Bus System with Ad-Hoc Service Using Travel-Demand Clustering," Mathematics, MDPI, vol. 11(4), pages 1-27, February.
    7. Luo, Xiaochuan & Chu, Chengbin, 2007. "A branch-and-bound algorithm of the single machine schedule with sequence-dependent setup times for minimizing maximum tardiness," European Journal of Operational Research, Elsevier, vol. 180(1), pages 68-81, July.
    8. repec:dgr:rugsom:05a11 is not listed on IDEAS
    9. Irnich, Stefan, 2008. "Solution of real-world postman problems," European Journal of Operational Research, Elsevier, vol. 190(1), pages 52-67, October.

    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:04a27. 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.