Facility location on a grid with a diagonal line

Enrique R. Venta and Francis J. Nourie

Naval Research Logistics (NRL), 1989, vol. 36, issue 5, 709-717

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.

Date: 1989
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https://doi.org/10.1002/1520-6750(198910)36:53.0.CO;2-W

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:36:y:1989:i:5:p:709-717

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