scholarly journals A Study on Commercial Facility Location Problem by Ant Colony Optimization (Consideration of a Customer Characteristic and Classifying by Stratum of a Customer)

2007 ◽  
Vol 73 (735) ◽  
pp. 3115-3122
Author(s):  
Tsuyoshi BABA ◽  
Takako SORIMACHI ◽  
Koichi MURAKAMI ◽  
Kazuho YOSHIMOTO
Keyword(s):  
Ant Colony Optimization ◽  
Facility Location ◽  
Location Problem ◽  
Facility Location Problem ◽  
Ant Colony ◽  
Customer Characteristic

scholarly journals Dispersing Obnoxious Facilities on a Graph

Algorithmica ◽  
2021 ◽  
Author(s):  
Alexander Grigoriev ◽  
Tim A. Hartmann ◽  
Stefan Lendl ◽  
Gerhard J. Woeginger
Keyword(s):  
Facility Location ◽  
Location Problem ◽  
Unit Length ◽  
Facility Location Problem ◽  
Np Hard ◽  
Obnoxious Facilities ◽  
Rational Parameter ◽  
Polynomially Solvable

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.

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