IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v21y1974i1p10-12.html
   My bibliography  Save this article

On Rutenberg's Decomposition Method

Author

Listed:
  • Wei Shen Hsia

    (University of Utah)

Abstract

David P. Rutenberg [Rutenberg, David P. 1970. Generalized networks, generalized upper bounding and decomposition of the convex simplex methods. Management Sci. 16 (5) 388-401.] provided a method to solve separable nonlinear objective functions with large-scale linear constraints by using W. I. Zangwill's Convex Simplex Method [Zangwill, W. L. 1967. The convex simplex method. Management Sci. 14 (3) 221-238.] However, there seem to be several errors in §4.3 [Rutenberg, David P. 1970. Generalized networks, generalized upper bounding and decomposition of the convex simplex methods. Management Sci. 16 (5) 397]. Two counterexamples to his conclusions are given in this paper. A revised definition of subproblem, therefore, an optimal criterion of the large-scaled program, is also given.

Suggested Citation

  • Wei Shen Hsia, 1974. "On Rutenberg's Decomposition Method," Management Science, INFORMS, vol. 21(1), pages 10-12, September.
    • Handle: RePEc:inm:ormnsc:v:21:y:1974:i:1:p:10-12
    DOI: 10.1287/mnsc.21.1.10
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.21.1.10
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.21.1.10?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
    ---><---

    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:inm:ormnsc:v:21:y:1974:i:1:p:10-12. 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.