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A localization property for facility‐location problems with arbitrary norms

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  • Henrik Juel
  • Robert Love

Abstract

In an earlier article we showed that, for facilities‐location problems characterized by generalized distance norms and any even number of existing facilities, the optimal location of the new facility is at the intersection of the lines joining the pairs of facilities if these lines intersect at a single point. In this article we extend this concept to show that, for a more general class of problems, the optimal location is one of a set of points which is specified by the existing facilities.

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  • Henrik Juel & Robert Love, 1988. "A localization property for facility‐location problems with arbitrary norms," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 203-207, April.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:2:p:203-207
    DOI: 10.1002/1520-6750(198804)35:23.0.CO;2-C
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    References listed on IDEAS

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    1. Juel, Henrik & Love, Robert F., 1983. "Hull properties in location problems," European Journal of Operational Research, Elsevier, vol. 12(3), pages 262-265, March.
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    Cited by:

    1. Carrizosa, E. J. & Puerto, J., 1995. "A discretizing algorithm for location problems," European Journal of Operational Research, Elsevier, vol. 80(1), pages 166-174, January.

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