Letter to the Editor—-A Closed Form Solution of Certain Programming Problems

Martin Pincus
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Martin Pincus: Polytechnic Institute of Brooklyn, Brooklyn, New York

Operations Research, 1968, vol. 16, issue 3, 690-694

Abstract: A formula is given for the coordinates of the point that maximizes a given function F ( x 1 , …, x n ) over the closure of a bounded domain S in n -dimensional Euclidean space. The principal assumption made in deriving the formula is that F attains a global maximum at exactly one point of S . In certain cases the formula may be used to discuss the maximization problem as a function of the parameters involved. Some simple examples are given.

Date: 1968
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