Optimization Letters

, Volume 8, Issue 2, pp 407–424 | Cite as

On the Weber facility location problem with limited distances and side constraints

  • Isaac F. Fernandes
  • Daniel Aloise
  • Dario J. Aloise
  • Pierre Hansen
  • Leo Liberti
Original Paper


The objective in the continuous facility location problem with limited distances is to minimize the sum of distance functions from the facility to the customers, but with a limit on each of the distances, after which the corresponding function becomes constant. The problem has applications in situations where the service provided by the facility is insensitive after a given threshold distance. In this paper, we propose a global optimization algorithm for the case in which there are in addition lower and upper bounds on the numbers of customers served.


Facility location Global optimization Reformulation Decomposition 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Isaac F. Fernandes
    • 1
  • Daniel Aloise
    • 1
  • Dario J. Aloise
    • 2
  • Pierre Hansen
    • 3
  • Leo Liberti
    • 4
  1. 1.Universidade Federal do Rio Grande do NorteCampus Universitário s/nNatalBrazil
  2. 2.Universidade do Estado do Rio Grande do NorteMossoróBrazil
  3. 3.GERAD and HEC MontréalMontréalCanada
  4. 4.LIX, École PolytechniquePalaiseauFrance

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