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Automatic Categorization of Optimization Problems: An Application of Computer Symbolic Mathematics

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  • David R. Stoutemyer

    (University of Hawaii, Honolulu, Hawaii)

Abstract

This paper describes a computer program that accepts as input a symbolic mathematical statement of an arbitrary mathematical programming problem, placing the problem into none or at least one of the categories: linear, quadratic, separable, posynomial, signomial, or convex. This categorization program is intended to reveal properties that can be exploited by special-purpose numerical computer programs—properties that might easily be overlooked because of the size of the problem, the complexity of the problem, or the limited knowledge of a novice who wishes to solve an optimization problem. The paper includes a brief demonstration of the program, a discussion of the underlying techniques, and a summary of the performance for some large problems.

Suggested Citation

  • David R. Stoutemyer, 1978. "Automatic Categorization of Optimization Problems: An Application of Computer Symbolic Mathematics," Operations Research, INFORMS, vol. 26(5), pages 773-788, October.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:5:p:773-788
    DOI: 10.1287/opre.26.5.773
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