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

1 June 1968

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research

Vol. 16 (3) , 690-694
https://doi.org/10.1287/opre.16.3.690

Abstract

A formula is given for the coordinates of the point that maximizes a given function F(x₁, …, 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.

Keywords

FUNCTION
FORMULA
SIMPLE EXAMPLES
EUCLIDEAN SPACE
FORM SOLUTION
PARAMETERS INVOLVED
DIMENSIONAL EUCLIDEAN
MAXIMIZATION PROBLEM
CLOSED FORM
PROGRAMMING PROBLEMS

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