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dc.contributor.authorMcGarvey, Ronald G.
dc.contributor.authorThorsen, Andreas
dc.identifier.citationMcGarvey, R. G., & Thorsen, A. (2022). Nested-solution facility location models. Optimization Letters, 16(2), 497-514.en_US
dc.descriptionThis 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:
dc.description.abstractClassical 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.en_US
dc.publisherSpringer Science and Business Media LLCen_US
dc.rightscopyright Springer nature 2021en_US
dc.subjectfacility locationen_US
dc.subjectpracticality of model solutionsen_US
dc.titleNested-solution facility location modelsen_US
mus.citation.journaltitleOptimization Lettersen_US
mus.relation.collegeCollege of Businessen_US
mus.relation.universityMontana State University - Bozemanen_US

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