Title : ( A BSSS algorithm for the single facility location problem in two regions with different norms )
Authors: Hossein Taghizadeh Kakhki , j. Brimberg , , G.O. Wesolowsky ,
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Abstract
Suppose the plane is divided by a straight line into two regions with different norms. We want to find the location of a single new facility such that the sum of the distances from the existing facilities to this point is minimized. This is in fact a non-convex optimization problem. The main difficulty is caused by finding the distances between points on different sides of the boundary line. In this paper we present a closed form solution for finding these distances. We also show that the optimal solution lies in the rectangular hull of the existing points. Based on these findings then, an efficient big square small square (BSSS) procedure is proposed.
Keywords
Continuous location Single facility branch and bound global optimization
@article{paperid:1006774,
author = {Taghizadeh Kakhki, Hossein and J. Brimberg and and G.O. Wesolowsky},
title = {A BSSS algorithm for the single facility location problem in two regions with different norms},
journal = {European Journal of Operational Research},
year = {2008},
volume = {190},
number = {1},
month = {January},
issn = {0377-2217},
pages = {79--89},
numpages = {10},
keywords = {Continuous location
Single facility
branch and bound
global optimization},
}
%0 Journal Article
%T A BSSS algorithm for the single facility location problem in two regions with different norms
%A Taghizadeh Kakhki, Hossein
%A J. Brimberg
%A
%A G.O. Wesolowsky
%J European Journal of Operational Research
%@ 0377-2217
%D 2008
