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Coefficient Perturbation of a Constrained Extremum

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  • Thomas L. Saaty

    (Booz, Allen Applied Research, Inc., Bethesda, Maryland)

Abstract

A schedule of allocating labor (in a shipping operation) whose available amount is a function of time, to different tasks, in order to minimize the total cost, is given. The problem is cast in linear-programming form in which all the coefficients are parameterized. An illustration is given followed by a general discussion of the use and limitation of this method, which yields a correspondence between optimal solutions and ranges of time values. The dependence of the optimal value on the parameterized coefficients leads to a sensitivity study.

Suggested Citation

  • Thomas L. Saaty, 1959. "Coefficient Perturbation of a Constrained Extremum," Operations Research, INFORMS, vol. 7(3), pages 294-302, June.
    • Handle: RePEc:inm:oropre:v:7:y:1959:i:3:p:294-302
    DOI: 10.1287/opre.7.3.294
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    Cited by:

    1. J. Sengupta & C. Millham & G. Tintner, 1965. "On the stability of solutions under error in stochastic linear programming," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 9(1), pages 47-60, December.

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