An approximation algorithm for the k-level stochastic facility location problem

  • Authors:
  • Zhen Wang;Donglei Du;Adriana F. Gabor;Dachuan Xu

  • Affiliations:
  • Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing 100124, PR China;Faculty of Business Administration, University of New Brunswick, Fredericton, NB, Canada E3B 5A3;Department of Econometrics, Erasmus School of Economics, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands;Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing 100124, PR China

  • Venue:
  • Operations Research Letters
  • Year:
  • 2010

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Abstract

We consider the k-level stochastic facility location problem. For this, we present an LP rounding algorithm that is 3-approximate. This result is achieved by a novel integer linear programming formulation that exploits the stochastic structure.