Nested-solution facility location models

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Date

2021-06

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Science and Business Media LLC

Abstract

Classical facility location models can generate solutions that do not maintain consistency in the set of utilized facilities as the number of utilized facilities is varied. We introduce the concept of nested facility locations, in which the solution utilizing p facilities is a subset of the solution utilizing q facilities, for all i ≤ p < q ≤ j, given some lower limit i and upper limit j on r, the number of facilities that will be utilized in the future. This approach is demonstrated with application to the p-median model, with computational testing showing these new models achieve reductions in both average regret and worst-case regret when r 6 = p facilities are actually utilized.

Description

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11590-021-01759-4

Keywords

facility location, optimization, practicality of model solutions

Citation

McGarvey, R. G., & Thorsen, A. (2022). Nested-solution facility location models. Optimization Letters, 16(2), 497-514.
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