Location Theory, Dominance, and Convexity

Richard E. Wendell and Arthur P. Hurter
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Richard E. Wendell: Ohio State University, Columbus, Ohio
Arthur P. Hurter: Northwestern University, Evanston, Illinois

Operations Research, 1973, vol. 21, issue 1, 314-320

Abstract: This paper explores the nature of optimal solutions to a plant-location problem on a plane under general distance measures. It develops conditions that guarantee an optimal location of a facility to lie in the convex hull of source and destination points. The effect of restricting the solution to some predetermined set is explored. The development is based on a generalization of Kuhn's characterization of a convex hull by dominance. When a “Manhattan” norm is employed, it is shown to be sufficient to consider, as optimal locations, the finite number of “intersection points” in the convex hull.

Date: 1973
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:21:y:1973:i:1:p:314-320

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