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Technical Note—Decomposition Techniques for the Chebyshev Problem

Roger A. Blau
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Roger A. Blau: University of North Carolina, Chapel Hill, North Carolina

Operations Research, 1973, vol. 21, issue 5, 1157-1163

Abstract: This note investigates a decomposition procedure for the problem of maximizing the minimum of a finite number of functions over a common domain. Results, in the form of nonlinear programming subproblems with linear contraints, are obtained for two different classes of functions with domains defined by convex polyhedra. The relation between the subproblems for both classes of functions is shown.

Date: 1973
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