IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v35y1989i3p367-371.html
   My bibliography  Save this article

Implicit Treatment of "Zero or Range" Constraints in a Model for Minimum Cost Foundry Alloys

Author

Listed:
  • P. Hansen

    (RUTCOR, Hill Center, Rutgers University, New Brunswick, New Jersey 08903)

  • J. Hugé

    (CARLAM, S.A., Charleroi, Belgium)

Abstract

A major problem in foundries is to select scrap alloys and pure metals in order to produce at minimum cost alloy of specified composition. We show that such problems, of realistic size, can be solved optimally by mixed-integer programming. Constraints are that the content of the alloys in various metals must be within given ranges and that the selected amount of each scrap alloy must be either zero or within a given range. The latter "zero or range" constraints can be treated implicitly in a similar way as lower and upper bounds are treated implicitly in bounded variables linear programming. Computation times for representative problems are thus reduced by a factor of three.

Suggested Citation

  • P. Hansen & J. Hugé, 1989. "Implicit Treatment of "Zero or Range" Constraints in a Model for Minimum Cost Foundry Alloys," Management Science, INFORMS, vol. 35(3), pages 367-371, March.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:3:p:367-371
    DOI: 10.1287/mnsc.35.3.367
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.35.3.367
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.35.3.367?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. Bowers, M.R. & Kaplan, L.A. & Hooker, T.L., 1995. "A two-phase model for planning the production of aluminum ingot," European Journal of Operational Research, Elsevier, vol. 81(1), pages 105-114, February.

    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:35:y:1989:i:3:p:367-371. 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.