IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v69y1997i0p193-20710.1023-a1018928911513.html
   My bibliography  Save this article

Vehicle scheduling on a tree with release and handling times

Author

Listed:
  • Yoshiyuki Karuno
  • Hiroshi Nagamochi
  • Toshihide Ibaraki

Abstract

In this paper, we consider a single-vehicle scheduling problem on a tree-shaped road net-work. Let T =(V,E) be a tree, where V is a set of n vertices and E is a set of edges. A task is located at each vertex v, which is also denoted as v. Each task v has release time r(v) and handling time h(v). The travel times c(u, v) and c(v, u) are associated with each edge (u, v) of E. The vehicle starts from an initial vertex v_0 of V, visits all tasks v in V for their processing, and returns to v_0 . The objective is to find a routing schedule of the vehicle that minimizes the completion time, denoted as C (i.e., the time to return to v_0 after processing all tasks). We call this problem TREE-VSP(C). We first prove that TREE-VSP(C) is NP-hard. However, we then show that TREE-VSP(C) with a depth-first routing constraint can be exactly solved in O(n log n) time. Moreover, we show that, if this exact algorithm is used as an approximate algorithm for the original TREE-VSP(C), its worst-case performance ratio is at most two. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Yoshiyuki Karuno & Hiroshi Nagamochi & Toshihide Ibaraki, 1997. "Vehicle scheduling on a tree with release and handling times," Annals of Operations Research, Springer, vol. 69(0), pages 193-207, January.
    • Handle: RePEc:spr:annopr:v:69:y:1997:i:0:p:193-207:10.1023/a:1018928911513
    DOI: 10.1023/A:1018928911513
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1018928911513
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1018928911513?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.

    Citations

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


    Cited by:

    1. Yuanxiao Wu & Xiwen Lu, 2021. "Improved algorithms for single vehicle scheduling on tree/cycle networks," Journal of Combinatorial Optimization, Springer, vol. 42(3), pages 565-580, October.
    2. Herer, Yale T., 1999. "Submodularity and the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 489-508, May.
    3. Averbakh, Igor & Berman, Oded & Chernykh, Ilya, 2006. "The routing open-shop problem on a network: Complexity and approximation," European Journal of Operational Research, Elsevier, vol. 173(2), pages 531-539, September.
    4. Yuanxiao Wu & Xiwen Lu, 0. "Improved algorithms for single vehicle scheduling on tree/cycle networks," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-16.
    5. Sofie Coene & Frits C. R. Spieksma & Gerhard J. Woeginger, 2011. "Charlemagne's Challenge: The Periodic Latency Problem," Operations Research, INFORMS, vol. 59(3), pages 674-683, June.
    6. Michael Hassoun & Shraga Shoval & Eran Simchon & Liron Yedidsion, 2020. "The single line moving target traveling salesman problem with release times," Annals of Operations Research, Springer, vol. 289(2), pages 449-458, June.

    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:spr:annopr:v:69:y:1997:i:0:p:193-207:10.1023/a:1018928911513. 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: 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.