A fast algorithm for the rectilinear distance location problem

S. Nobakhtian () and A. Raeisi Dehkordi ()
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S. Nobakhtian: University of Isfahan
A. Raeisi Dehkordi: University of Isfahan

Mathematical Methods of Operations Research, 2018, vol. 88, issue 1, No 4, 98 pages

Abstract: 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.

Keywords: Box constraints; Location; Rectilinear distance; Subdifferential (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00186-018-0629-1

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