In this paper a general k-level uncapacitated facility location problem(k-GLUFLP) is proposed. It is shown that the 2-level uncapacitated facility location problem with no fixed cost(2-GLUFLNP) is strong NP-complete and a heuristic algorithm with worst case ratio of 3/2 is given for 2-GLUFLNP when the service costs are assumed to be in the metric space. We also present a randomized 3-approximation algorithm for the k-GLUFLP, when k is a fixed integer.


Approximation algorithm Facility location Complexity k-level 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Rongheng Li
    • 1
  • Huei-Chuen Huang
    • 2
  1. 1.Dept of MathematicsHunan Normal UniversityChangshaP.R. China
  2. 2.Dept of Industrial and Systems EngineeringNational University of SingaporeSingapore

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