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Closest assignment constraints in discrete location problems

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  • Espejo, Inmaculada
  • Marín, Alfredo
  • Rodríguez-Chía, Antonio M.
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    Abstract

    The objective of this paper is to identify the most promising sets of closest assignment constraints in the literature of Discrete Location Theory, helping the authors in the field to model their problems when clients must be assigned to the closest plant inside an Integer Programming formulation. In particular, constraints leading to weak Linear Programming relaxations should be avoided if no other good property supports their use. We also propose a new set of constraints with good theoretical properties.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711010575
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 219 (2012)
    Issue (Month): 1 ()
    Pages: 49-58

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    Handle: RePEc:eee:ejores:v:219:y:2012:i:1:p:49-58

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Discrete location; Integer programming; Valid inequalities; Closest assignment;

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    1. Hanjoul, Pierre & Peeters, Dominique, 1987. "A facility location problem with clients' preference orderings," Regional Science and Urban Economics, Elsevier, vol. 17(3), pages 451-473, August.
    2. Jörg Kalcsics & Stefan Nickel & Justo Puerto & Antonio Rodríguez-Chía, 2010. "The ordered capacitated facility location problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 18(1), pages 203-222, July.
    3. Pierre Hanjoul & Pierre Hansen & Dominique Peeters & Jacques-Francois Thisse, 1990. "Uncapacitated Plant Location Under Alternative Spatial Price Policies," Management Science, INFORMS, vol. 36(1), pages 41-57, January.
    4. Plastria, Frank, 2002. "Formulating logical implications in combinatorial optimisation," European Journal of Operational Research, Elsevier, vol. 140(2), pages 338-353, July.
    5. Teixeira, Joao C. & Antunes, Antonio P., 2008. "A hierarchical location model for public facility planning," European Journal of Operational Research, Elsevier, vol. 185(1), pages 92-104, February.
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