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

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  • 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
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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).
    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.

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    Keywords

    programming: linear;

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