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Author (up) Freire, A.S.; Moreno, E.; Yushimito, W.F. pdf  doi
  Title A branch-and-bound algorithm for the maximum capture problem with random utilities Type
  Year 2016 Publication European Journal Of Operational Research Abbreviated Journal Eur. J. Oper. Res.  
  Volume 252 Issue 1 Pages 204-212  
  Keywords Facility location; Branch and bound; Maximum capture; Random utility model  
  Abstract The MAXIMUM CAPTURE PROBLEM WITH RANDOM UTILITIES seeks to locate new facilities in a competitive market such that the captured demand of users is maximized, assuming that each individual chooses among all available facilities according to the well-know a random utility model namely the multinomial logit. The problem is complex mostly due to its integer nonlinear objective function. Currently, the most efficient approaches deal with this complexity by either using a nonlinear programing solver or reformulating the problem into a Mixed-Integer Linear Programing (MILP) model. In this paper, we show how the best MILP reformulation available in the literature can be strengthened by using tighter coefficients in some inequalities. We also introduce a new branch-and-bound algorithm based on a greedy approach for solving a relaxation of the original problem. Extensive computational experiments are presented, bench marking the proposed approach with other linear and non-linear relaxations of the problem. The computational experiments show that our proposed algorithm is competitive with all other methods as there is no method which outperforms the others in all instances. We also show a large-scale real instance of the problem, which comes from an application in park-and-ride facility location, where our proposed branch-and-bound algorithm was the most effective method for solving this type of problem. (C) 2015 Elsevier B.V. All rights reserved.  
  Address [Moreno, Eduardo; Yushimito, Wilfredo F.] Univ Adolfo Ibanez, Fac Sci & Engn, Santiago, Chile, Email:;  
  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:000371939700018 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 601  
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