IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v34y1986i4p606-612.html
   My bibliography  Save this article

Optimal Sequencing by Modular Decomposition: Polynomial Algorithms

Author

Listed:
  • Jeffrey B. Sidney

    (University of Ottawa, Ontario, Canada)

  • George Steiner

    (McMaster University, Hamilton, Ontario, Canada)

Abstract

We show that the combination of dynamic programming with partial-order decomposition algorithms enables us to solve sequencing problems in polynomial time for substantially larger classes of precedence constraints than previously realized. The algorithm's efficiency depends on the maximum number of jobs that are not related by the precedence constraints in certain subsets of the jobs. We also demonstrate how to modify this general algorithm lo take advantage of special problem characteristics.

Suggested Citation

  • Jeffrey B. Sidney & George Steiner, 1986. "Optimal Sequencing by Modular Decomposition: Polynomial Algorithms," Operations Research, INFORMS, vol. 34(4), pages 606-612, August.
  • Handle: RePEc:inm:oropre:v:34:y:1986:i:4:p:606-612
    DOI: 10.1287/opre.34.4.606
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.34.4.606
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.34.4.606?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
    ---><---

    Citations

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


    Cited by:

    1. Erel, Erdal & Gokcen, Hadi, 1999. "Shortest-route formulation of mixed-model assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 194-204, July.
    2. Robbert Fokkink & Thomas Lidbetter & László A. Végh, 2019. "On Submodular Search and Machine Scheduling," Management Science, INFORMS, vol. 44(4), pages 1431-1449, November.
    3. Ecker, Klaus H., 1999. "Scheduling of resource tasks," European Journal of Operational Research, Elsevier, vol. 115(2), pages 314-327, June.
    4. De, Prabuddha & James Dunne, E. & Ghosh, Jay B. & Wells, Charles E., 1995. "The discrete time-cost tradeoff problem revisited," European Journal of Operational Research, Elsevier, vol. 81(2), pages 225-238, March.
    5. Demeulemeester, Erik L. & Herroelen, Willy S. & Elmaghraby, Salah E., 1996. "Optimal procedures for the discrete time/cost trade-off problem in project networks," European Journal of Operational Research, Elsevier, vol. 88(1), pages 50-68, January.

    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:inm:oropre:v:34:y:1986:i:4:p:606-612. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.