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

Hillel Kumin
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Hillel Kumin: University of Oklahoma

Management Science, 1973, vol. 20, issue 1, 126-129

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.

Date: 1973
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