2009
DOI: 10.1007/s11750-009-0089-0
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The ordered capacitated facility location problem

Abstract: In this paper, we analyze flexible models for capacitated discrete location problems with setup costs. We introduce a major extension with regards to standard models which consists of distinguishing three different points of view of a location problem in a logistics system. We develop mathematical programming formulations for these models using discrete ordered objective functions with some new features. We report on the computational behavior of these formulations tested on a randomly generated battery of ins… Show more

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Cited by 37 publications
(14 citation statements)
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“…However, as pointed out in Leclerc et al (2012), server's equity has been overlooked in the literature. Nevertheless, some works can be found looking at server equity (Berman et al, 2009;Kalcsics et al, 2010;Marin, 2011).…”
Section: Review Of Related Literaturementioning
confidence: 99%
“…However, as pointed out in Leclerc et al (2012), server's equity has been overlooked in the literature. Nevertheless, some works can be found looking at server equity (Berman et al, 2009;Kalcsics et al, 2010;Marin, 2011).…”
Section: Review Of Related Literaturementioning
confidence: 99%
“…This paper, for the sake of brevity, does not consider models with setup costs, where a similar analysis of the different points of view of the logistic problem is possible. The interested reader is referred to Kalcsics et al (2009) for an extended analysis of this type of models under the framework of the Capacitated Ordered Median Location Problem. Also models with an integrated objective that considers two or more perspectives or a multi-criteria formulation would be interesting to study.…”
Section: Discussionmentioning
confidence: 99%
“…In [7], an extension of the DOMP called the ordered capacitated facility location (OCFL) problem is proposed and it was modeled from three different points of view. In the first model, the customer's demand can be divided; in the second model, fixed costs for locating facilities are considered; and in the third model, the shipping and locating costs are taken into account in the objective function.…”
Section: Mathematical Problems In Engineeringmentioning
confidence: 99%