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Facility location on a grid with a diagonal line

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  • Enrique R. Venta
  • Francis J. Nourie

Abstract

This article extends the traditional median problem on a grid to include a diagonal line (e.g., a street). In contrast to the traditional median problem, this generalized problem is nonconvex and nonseparable, invalidating some of the properties on which well‐known median‐seeking algorithms are based. This work presents an algorithm for finding the median on this generalized grid and discusses the relationship between it and the traditional median.

Suggested Citation

  • Enrique R. Venta & Francis J. Nourie, 1989. "Facility location on a grid with a diagonal line," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 709-717, October.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:5:p:709-717
    DOI: 10.1002/1520-6750(198910)36:53.0.CO;2-W
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    References listed on IDEAS

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    1. James E. Ward & Richard E. Wendell, 1985. "Using Block Norms for Location Modeling," Operations Research, INFORMS, vol. 33(5), pages 1074-1090, October.
    2. J. E. Ward & R. E. Wendell, 1980. "Technical Note—A New Norm for Measuring Distance Which Yields Linear Location Problems," Operations Research, INFORMS, vol. 28(3-part-ii), pages 836-844, June.
    3. G. O. Wesolowsky & R. F. Love, 1971. "Technical Note—The Optimal Location of New Facilities Using Rectangular Distances," Operations Research, INFORMS, vol. 19(1), pages 124-130, February.
    4. Robert F. Love & James G. Morris, 1979. "Mathematical Models of Road Travel Distances," Management Science, INFORMS, vol. 25(2), pages 130-139, February.
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