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Expected Distances between Two Uniformly Distributed Random Points in Rectangles and Rectangular Parallelpipeds

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Journal of the Operational Research Society

Abstract

In this paper, the expected distance between two uniformly distributed random points in a rectangle or in a rectangular parallelepiped is computed under three different metrics: the Manhattan metric, the Euclidean metric, and the Chebychev metric.

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Authors and Affiliations

  1. GERAD, École des Hautes Études Commerciales de Montréal, Canada

    Brahim Gaboune, Gilbert Laporte & François Soumis

  2. Centre de recherche sur les transports, Université de Montréal, Canada

    Gilbert Laporte & François Soumis

Authors
  1. Brahim Gaboune
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  2. Gilbert Laporte
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  3. François Soumis
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Gaboune, B., Laporte, G. & Soumis, F. Expected Distances between Two Uniformly Distributed Random Points in Rectangles and Rectangular Parallelpipeds. J Oper Res Soc 44, 513–519 (1993). https://doi.org/10.1057/jors.1993.87

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  • DOI: https://doi.org/10.1057/jors.1993.87

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