Discrete facility location in machine learning

2021 ◽  
Vol 28 (4) ◽  
pp. 5-60
Author(s):  
I. L. Vasilyev ◽  
A. V. Ushakov
Omega ◽  
2019 ◽  
Vol 83 ◽  
pp. 107-122 ◽  
Author(s):  
Ömer Burak Kınay ◽  
Francisco Saldanha-da-Gama ◽  
Bahar Y. Kara

2003 ◽  
Vol 133 (1-3) ◽  
pp. 3-28 ◽  
Author(s):  
P. Cappanera ◽  
G. Gallo ◽  
F. Maffioli

1989 ◽  
Vol 18 (1) ◽  
pp. 213-224 ◽  
Author(s):  
Pitu Mirchandani ◽  
Ravindran Jagannathan

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Jin Qin ◽  
Ling-lin Ni ◽  
Feng Shi

The combined simulated annealing (CSA) algorithm was developed for the discrete facility location problem (DFLP) in the paper. The method is a two-layer algorithm, in which the external subalgorithm optimizes the decision of the facility location decision while the internal subalgorithm optimizes the decision of the allocation of customer's demand under the determined location decision. The performance of the CSA is tested by 30 instances with different sizes. The computational results show that CSA works much better than the previous algorithm on DFLP and offers a new reasonable alternative solution method to it.


2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Ľuboš Buzna ◽  
Michal Koháni ◽  
Jaroslav Janáček

We present a new approximation algorithm to the discrete facility location problem providing solutions that are close to the lexicographic minimax optimum. The lexicographic minimax optimum is a concept that allows to find equitable location of facilities serving a large number of customers. The algorithm is independent of general purpose solvers and instead uses algorithms originally designed to solve thep-median problem. By numerical experiments, we demonstrate that our algorithm allows increasing the size of solvable problems and provides high-quality solutions. The algorithm found an optimal solution for all tested instances where we could compare the results with the exact algorithm.


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