Algebraic Solution of Weighted Minimax Single-Facility Constrained Location Problems

2018 ◽  
pp. 317-332 ◽  
Author(s):  
Nikolai Krivulin
Keyword(s):  
Location Problems ◽  
Algebraic Solution ◽  
Single Facility

scholarly journals Algorithms for Location Problems Based on Angular Distances

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Lev A. Kazakovtsev ◽  
Predrag S. Stanimirović ◽  
Idowu A. Osinuga ◽  
Mikhail N. Gudyma ◽  
Alexander N. Antamoshkin
Keyword(s):  
Mathematical Models ◽  
Facility Location ◽  
Location Problems ◽  
Distance Metrics ◽  
Facility Location Problems ◽  
Numerical Example ◽  
Analytical Proof ◽  
Manipulator Control ◽  
Single Facility

This paper describes four mathematical models for the single-facility location problems based on four special distance metrics and algorithms for solving such problems. In this study, algorithms of solving Weber problems using four distance predicting functions (DPFs) are proposed in accordance with four strategies for manipulator control. A numerical example is presented in this proposal as an analytical proof of the optimality of their results.

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