Letter to the Editor—Some Aspects of a Minimax Location Problem

Richard L. Francis
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Richard L. Francis: The Ohio Stale University, Columbus, Ohio

Operations Research, 1967, vol. 15, issue 6, 1163-1169

Abstract: Some aspects of a minimax version of the Steiner-Weber location problem are studied. A necessary condition is given for a minimax location, or solution; a lower bound on the value of a minimax solution is given that is attained for many problems; and an explicit minimax solution is given for the case where the lower bound is attained. Also, a geometric characterization of the minimax solution is discussed, and a closely related facility design problem is examined.

Date: 1967
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