IDEAS home Printed from https://ideas.repec.org/a/inm/orinte/v23y1993i6p120-139.html
   My bibliography  Save this article

How to Analyze the Results of Linear Programs—Part 3: Infeasibility Diagnosis

Author

Listed:
  • Harvey J. Greenberg

    (Mathematics Department, University of Colorado at Denver, PO Box 173364, Denver, Colorado 80217-3364)

Abstract

One problem in debugging a linear program is finding a way to diagnose an infeasible instance. The sources of error could be structural, such as inadvertent omission of activities, or data related, such as insufficient supply to meet demand. I present techniques that LP experts have used in practice for a variety of applications. It is important, however, to distinguish a diagnosis from an isolation. An isolation is a portion of the linear program obtained in some purposeful way to contain a probable cause. A diagnosis additionally requires an explanation of an isolation, which can require complex reasoning.

Suggested Citation

  • Harvey J. Greenberg, 1993. "How to Analyze the Results of Linear Programs—Part 3: Infeasibility Diagnosis," Interfaces, INFORMS, vol. 23(6), pages 120-139, December.
  • Handle: RePEc:inm:orinte:v:23:y:1993:i:6:p:120-139
    DOI: 10.1287/inte.23.6.120
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/inte.23.6.120
    Download Restriction: no

    File URL: https://libkey.io/10.1287/inte.23.6.120?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. Yilmaz, Hasan Ümitcan & Kimbrough, Steven O. & van Dinther, Clemens & Keles, Dogan, 2022. "Power-to-gas: Decarbonization of the European electricity system with synthetic methane," Applied Energy, Elsevier, vol. 323(C).
    2. Pannell, David J. & Kingwell, Ross S. & Schilizzi, Steven, 1996. "Debugging Mathematical Programming Models: Principles and Practical Strategies," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 64(01), pages 1-15, April.
    3. Frederic H. Murphy, 2005. "ASP, The Art and Science of Practice: Elements of a Theory of the Practice of Operations Research: Expertise in Practice," Interfaces, INFORMS, vol. 35(4), pages 313-322, August.
    4. Paula Amaral & Luís Fernandes & Joaquim Júdice & Hanif Sherali, 2009. "On optimal zero-preserving corrections for inconsistent linear systems," Computational Optimization and Applications, Springer, vol. 45(4), pages 645-666, December.
    5. Aggarwal, Charu C. (Charu Chandra) & Hao, Jianxiu. & Orlin, James B., 1953-, 1994. "Diagnosing infeasibilities in network flow problems," Working papers 3696-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.

    More about this item

    Keywords

    programming: linear;

    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:orinte:v:23:y:1993:i:6:p:120-139. 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.