The minimum weighted covering location problem with distance constraints

  • Authors:
  • Oded Berman;Rongbing Huang

  • Affiliations:
  • Joseph L. Rotman School of Management, University of Toronto, 105 St. George Street, Toronto, Ont., Canada M5S 3E6;School of Administrative Studies, York University, Atkinson Building, 4700 Keele Street, Toronto, Ont., Canada M3J 1P3

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2008

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Abstract

The objective is to locate undesirable facilities on a network so as to minimize the total demand covered subject to the condition that no two facilities are allowed to be closer than a pre-specified distance. We prove that there exists a dominating location set and that it is a challenging problem to determine the consistency of the distance constraints. We compare several different mathematical formulations to solve the problem. Heuristics with computational experiments are provided.