IDEAS home Printed from https://ideas.repec.org/p/gro/rugsom/03a30.html
   My bibliography  Save this paper

Combinatorial optimization tolerances calculated in linear time

Author

Listed:
  • Goldengorin, Boris
  • Sierksma, Gerard

    (Groningen University)

Abstract

For a given optimal solution to a combinatorial optimization problem, we show, under very natural conditions, the equality of the minimal values of upper and lower tolerances, where the upper tolerances are calculated for the given optimal solution and the lower tolerances outside the optimal solution. As a consequence, the calculation of such tolerances can now be done in linear time, while all current methods use quadratic time.

Suggested Citation

  • Goldengorin, Boris & Sierksma, Gerard, 2003. "Combinatorial optimization tolerances calculated in linear time," Research Report 03A30, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:03a30
    as

    Download full text from publisher

    File URL: http://irs.ub.rug.nl/ppn/252306341
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Vyacheslav Chistyakov & Boris Goldengorin & Panos Pardalos, 2012. "Extremal values of global tolerances in combinatorial optimization with an additive objective function," Journal of Global Optimization, Springer, vol. 53(3), pages 475-495, July.
    2. 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).
    3. repec:dgr:rugsom:05a11 is not listed on IDEAS
    4. Marcel Turkensteen & Dmitry Malyshev & Boris Goldengorin & Panos M. Pardalos, 2017. "The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 68(3), pages 601-622, July.

    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:03a30. 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: 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.