Aggregation Error Bounds for a Class of Location Models

Many location models involve distances and demand points in their objective function. In urban contexts, there can be millions of demand points. This leads to demand point aggregation, which produces error. We identify a general model structure that includes most such location models, and present a...

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Veröffentlicht in:Operations research 2000-03, Vol.48 (2), p.294-307
Hauptverfasser: Francis, R. L, Lowe, T. J, Tamir, Arie
Format: Artikel
Sprache:eng
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Zusammenfassung:Many location models involve distances and demand points in their objective function. In urban contexts, there can be millions of demand points. This leads to demand point aggregation, which produces error. We identify a general model structure that includes most such location models, and present a means of obtaining error bounds for all models with this structure. The error bounds suggest how to do the demand point aggregation so as to keep the error small.
ISSN:0030-364X
1526-5463
DOI:10.1287/opre.48.2.294.12382