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Approximate Localization Theorems for Optimal Facility Placement

Approximate Localization Theorems for Optimal Facility Placement The problem is that of locating a flow-receiving facility in a region, so as to minimize the weighted sum of distances between sources and facility. It is shown here that if a subregion S both generates sufficiently much of the regions total flow, and admits entry via specified gate points without too much circuity, then (a) S contains at least one near-optimal location for the facility, and (b) no strictly optimal location can lie too far from S. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Transportation Science INFORMS

Approximate Localization Theorems for Optimal Facility Placement

Goldman, A. J.
Transportation Science , Volume 6 (2): 7 – May 1, 1972
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Publisher
INFORMS
Copyright
Copyright © INFORMS
Subject
Research Article
ISSN
0041-1655
eISSN
1526-5447
DOI
10.1287/trsc.6.2.195
Publisher site
See Article on Publisher Site

Abstract

The problem is that of locating a flow-receiving facility in a region, so as to minimize the weighted sum of distances between sources and facility. It is shown here that if a subregion S both generates sufficiently much of the regions total flow, and admits entry via specified gate points without too much circuity, then (a) S contains at least one near-optimal location for the facility, and (b) no strictly optimal location can lie too far from S.

Journal

Transportation Science – INFORMS

Published: May 1, 1972

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