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

  • Authors:
  • Donglei Du;Xing Wang;Dachuan Xu

  • Affiliations:
  • Faculty of Business Administration, University of New Brunswick, Fredericton, Canada E3B 5A3;Department of Applied Mathematics, Beijing University of Technology, Beijing, People's Republic of China 100124;Department of Applied Mathematics, Beijing University of Technology, Beijing, People's Republic of China 100124

  • Venue:
  • Journal of Combinatorial Optimization
  • Year:
  • 2010

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Abstract

We consider the k-level capacitated facility location problem (k-CFLP), which is a natural variant of the classical facility location problem and has applications in supply chain management. We obtain the first (combinatorial) approximation algorithm with a performance factor of $k+2+\sqrt{k^{2}+2k+5}+\varepsilon$ (驴0) for this problem.