Minimax Multifacility Location with Euclidean Distances

Jack Elzinga, Donald Hearn and W. D. Randolph
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Jack Elzinga: The Johns Hopkins University, Baltimore, Maryland
Donald Hearn: University of Florida, Gainesville, Florida
W. D. Randolph: Washington, D. C.

Transportation Science, 1976, vol. 10, issue 4, 321-336

Abstract: The problem considered is that of locating N new facilities among M existing facilities with the objective of minimizing the maximum weighed Euclidean distance among all facilities. The application of nonlinear duality theory shows this problem can always be solved by maximizing a continuously differentiable concave objective subject to a small number of linear constraints. This leads to a solution procedure which produces very good numerical results. Computational experience is reported.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:10:y:1976:i:4:p:321-336

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