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R. C. Larson and G. Sadiq, “Facility Locations with the Manhattan Metric in the Presence of Barriers to Travel,” Operations Research, Vol. 31, No. 4, 1983, pp. 652-669. doi:10.1287/opre.31.4.652

has been cited by the following article:

• TITLE: Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms

  AUTHORS: Jafar Fathali, Ali Jamalian

  KEYWORDS: Multifacility Location; Block Norm; Minisum; Fuzzy Data; Linear Programming

  JOURNAL NAME: Applied Mathematics, Vol.3 No.12, December 21, 2012

  ABSTRACT: In this paper we study the problem of locating multiple facilities in convex sets with fuzzy parameters. This problem asks to find the location of new facilities in the given convex sets such that the sum of weighted distances between new facilities and existing facilities is minimized. We present a linear programming model for this problem with block norms, then we use it for problems with fuzzy data. We also do this for rectilinear and infinity norms as special cases of block norms.