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A Minimax Facility-Configuration Problem Involving Lattice Points

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  • Richard L. Francis

    (The University of Florida, Gainesville, Florida)

Abstract

This paper considers the problem of assigning n facilities, or departments, to locations so that the maximum of the rectilinear distances between departments is minimized. The locations are considered to be points in a lattice. It develops a simple explicit expression for the minimum value of the objective function for all values of n ; this expression has as a corollary a necessary and sufficient condition for an assignment, or a configuration, to be minimax; the paper also develops a simple geometrical procedure for constructing minimax configurations. Some related problems are also examined briefly.

Suggested Citation

  • Richard L. Francis, 1973. "A Minimax Facility-Configuration Problem Involving Lattice Points," Operations Research, INFORMS, vol. 21(1), pages 101-111, February.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:1:p:101-111
    DOI: 10.1287/opre.21.1.101
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