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A fast algorithm for the rectilinear distance location problem

Author

Listed:
  • S. Nobakhtian

    (University of Isfahan
    Institute for Research in Fundamental Sciences (IPM))

  • A. Raeisi Dehkordi

    (University of Isfahan)

Abstract

In this paper, we consider the rectilinear distance location problem with box constraints (RDLPBC) and we show that RDLPBC can be reduced to the rectilinear distance location problem (RDLP). A necessary and sufficient condition of optimality is provided for RDLP. A fast algorithm is presented for finding the optimal solution set of RDLP. Global convergence of the method is proved by a necessary and sufficient condition. The new proposed method is provably more efficient in finding the optimal solution set. Computational experiments highlight the magnitude of the theoretical efficiency.

Suggested Citation

  • S. Nobakhtian & A. Raeisi Dehkordi, 2018. "A fast algorithm for the rectilinear distance location problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(1), pages 81-98, August.
    • Handle: RePEc:spr:mathme:v:88:y:2018:i:1:d:10.1007_s00186-018-0629-1
    DOI: 10.1007/s00186-018-0629-1
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    References listed on IDEAS

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