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Optimal Center Location in Simple Networks

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  • A. J. Goldman

    (National Bureau of Standards, Washington, D.C.)

Abstract

The general problem is that of locating a central facility in a network so as to minimize the sum of its distances from the sources of flow to it, each distance being appropriately weighted to reflect the associated flow volume and/or cost. In this paper, simple one-pass solution algorithms are given for two classes of topologically simple networks, namely those which are either acyclic or contain exactly one cycle. The first algorithm is based on a reduction procedure that may also yield useful simplification of problems involving general networks.

Suggested Citation

  • A. J. Goldman, 1971. "Optimal Center Location in Simple Networks," Transportation Science, INFORMS, vol. 5(2), pages 212-221, May.
    • Handle: RePEc:inm:ortrsc:v:5:y:1971:i:2:p:212-221
    DOI: 10.1287/trsc.5.2.212
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