Linear Programming Applied to a Facility Location Problem

1996 ◽  
Vol 12 (1) ◽  
pp. 105-110 ◽  
Author(s):  
E. Brown ◽  
Y. Fathi ◽  
R. Sowell
2014 ◽  
Vol 40 (4) ◽  
pp. 27-36
Author(s):  
N. Dedović ◽  
Snežana Matić-Kekić ◽  
M. Tomić ◽  
L. Savin ◽  
M. Simikić

2018 ◽  
Vol 1 (2) ◽  
Author(s):  
Utpal Kumar Bhattacharya

 In this paper k-obnoxious facility location problem has been modeled as a pure planner location problem.  Area restriction concept has been incorporated by inducting a convex polygon in the constraints set. A linear programming iterative algorithm for k- obnoxious facility locations has been developed. An upper bound has been incorporated in the algorithm to get the  optimal solution. Also the concept of upper bound has reduced  the number of linear programming problems to solved in the algorithm. Rectilinear distance norm has been considered as the distance measure as it is more appropriate to the various realistic situations. 


Algorithmica ◽  
2021 ◽  
Author(s):  
Alexander Grigoriev ◽  
Tim A. Hartmann ◽  
Stefan Lendl ◽  
Gerhard J. Woeginger

AbstractWe study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many facilities as possible subject to the condition that any two facilities have at least distance $$\delta$$ δ from each other. We investigate the complexity of this problem in terms of the rational parameter $$\delta$$ δ . The problem is polynomially solvable, if the numerator of $$\delta$$ δ is 1 or 2, while all other cases turn out to be NP-hard.


2007 ◽  
Vol 158 (17) ◽  
pp. 1922-1930 ◽  
Author(s):  
Hiroaki Ishii ◽  
Yung Lung Lee ◽  
Kuang Yih Yeh

Sign in / Sign up

Export Citation Format

Share Document