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Journal Article

Some Aspects of a Minimax Location Problem

Richard L. Francis
Operations Research
Vol. 15, No. 6 (Nov. - Dec., 1967), pp. 1163-1169
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/168621
Page Count: 7

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Topics: Minimax, Mathematical problems, Mathematical minima, Geometric planes, Contour lines
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Some Aspects of a Minimax Location Problem
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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.

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