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On Characterizing the Extrema of a Function of Two Variables, One of Which is Discrete

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  • Hillel Kumin

    (University of Oklahoma)

Abstract

This research was motivated by design problems in queueing theory where the objective function is composed of a discrete variable and a continuous variable. Sufficient conditions are developed such that any local minimum of such an objective function is also a global minimum. A two-parameter design problem associated with an M/E k /1 system is used as an example to show how the conditions are utilized.

Suggested Citation

  • Hillel Kumin, 1973. "On Characterizing the Extrema of a Function of Two Variables, One of Which is Discrete," Management Science, INFORMS, vol. 20(1), pages 126-129, September.
    • Handle: RePEc:inm:ormnsc:v:20:y:1973:i:1:p:126-129
    DOI: 10.1287/mnsc.20.1.126
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    Cited by:

    1. Emre Tokgöz & Hillel Kumin, 2012. "Mixed convexity and optimization results for an (S − 1, S) inventory model under a time limit on backorders," Computational Management Science, Springer, vol. 9(4), pages 417-440, November.

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