The zone-constrained location problem on a network

O. Berman, D. Einav, G. Handler

Research output: Contribution to journalArticlepeer-review


In this paper we consider the m-median and m-center problems on a network, subject to zone-type constraints. These constraints require that at least one server be located in each one of several perspecified zones that may overlap. The zones may be municipal districts, geographical zones, equity-type zones and so on. Special cases of the problem include the m-medi-center problem and the m-center (or m-median) problem with user-dependent distance constraints. The paper includes a relaxation algorithm where in each step of the algorithm a relaxed problem is solved. For the m-center problem with user-dependent distance constraints the relaxation algorithm can be refined by taking advantage of an available method to solve the relaxed problem. Computational experience suggests that the algorithm performs well for large problems.

Original languageEnglish
Pages (from-to)14-24
Number of pages11
JournalEuropean Journal of Operational Research
Issue number1
StatePublished - 5 Jul 1991


  • Location
  • networks
  • zone constraints


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