Approximate Localization Theorems for Optimal Facility Placement

A. J. Goldman
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A. J. Goldman: National Bureau of Standards, Washington, D.C.

Transportation Science, 1972, vol. 6, issue 2, 195-201

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 region’s 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.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:6:y:1972:i:2:p:195-201

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