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Author (up) Ljubic, I.; Moreno, E. pdf  doi
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  Title Outer approximation and submodular cuts for maximum capture facility location problems with random utilities Type Journal Article
  Year 2018 Publication European Journal Of Operational Research Abbreviated Journal Eur. J. Oper. Res.  
  Volume 266 Issue 1 Pages 46-56  
  Keywords Combinatorial optimization; Branch-and-cut; Maximum capture; Random utility model; Competitive facility location  
  Abstract We consider a family of competitive facility location problems in which a “newcomer” company enters the market and has to decide where to locate a set of new facilities so as to maximize its market share. The multinomial logit model is used to estimate the captured customer demand. We propose a first branch-and-cut approach for this family of difficult mixed-integer non-linear problems. Our approach combines two types of cutting planes that exploit particular properties of the objective function: the first one are the outer-approximation cuts and the second one are the submodular cuts. The approach is computationally evaluated on three datasets from the recent literature. The obtained results show that our new branch-and-cut drastically outperforms state-of-the-art exact approaches, both in terms of the computing times, and in terms of the number of instances solved to optimality. (C) 2017 Elsevier B.V. All rights reserved.  
  Address [Ljubic, Ivana] ESSEC Business Sch, 3 Av Bernard Hirsch,BP 50105, F-95021 Cergy Pontoise, France, Email: ivana.ljubic@essec.edu;  
  Corporate Author Thesis  
  Publisher Elsevier Science Bv Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0377-2217 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000423646500005 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 815  
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