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Paper   IPM / M / 15176
School of Mathematics
  Title:   A fast algorithm for the rectilinear distance location problem
  Author(s):  Soghra Nobakhtian (Joint with A. Raeisi Dehkordi)
  Status:   Published
  Journal: Math. Meth. Oper. Res.
  Vol.:  88
  Year:  2018
  Pages:   81-98
  Supported by:  IPM
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.

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