Weak flow cover inequalities for the capacitated facility location problem

2021 ◽  
Vol 289 (2) ◽  
pp. 485-494
Author(s):  
P. Avella ◽  
M. Boccia ◽  
S. Mattia ◽  
F. Rossi
Keyword(s):  
Facility Location ◽  
Location Problem ◽  
Facility Location Problem ◽  
Capacitated Facility Location Problem ◽  
Capacitated Facility Location ◽  
Cover Inequalities

A simple and effective genetic algorithm for the two-stage capacitated facility location problem

2014 ◽  
Vol 75 ◽  
pp. 200-208 ◽  
Author(s):  
Diogo R.M. Fernandes ◽  
Caroline Rocha ◽  
Daniel Aloise ◽  
Glaydston M. Ribeiro ◽  
Enilson M. Santos ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Facility Location ◽  
Location Problem ◽  
Facility Location Problem ◽  
Two Stage ◽  
Capacitated Facility Location Problem ◽  
Capacitated Facility Location

Lagrangian Bounds and a Heuristic for the Two-Stage Capacitated Facility Location Problem

2012 ◽  
Vol 1 (1) ◽  
pp. 59-71 ◽  
Author(s):  
Igor Litvinchev ◽  
Edith L. Ozuna
Keyword(s):  
Facility Location ◽  
Location Problem ◽  
Computational Study ◽  
Facility Location Problem ◽  
Mixed Integer ◽  
Variable Cost ◽  
Fixed Cost ◽  
Two Stage ◽  
Capacitated Facility Location Problem ◽  
Capacitated Facility Location

In the two-stage capacitated facility location problem, a single product is produced at some plants in order to satisfy customer demands. The product is transported from these plants to some depots and then to the customers. The capacities of the plants and depots are limited. The aim is to select cost minimizing locations from a set of potential plants and depots. This cost includes fixed cost associated with opening plants and depots, and variable cost associated with both transportation stages. In this work, two different mixed integer linear programming formulations are considered for the problem. Several Lagrangian relaxations are analyzed and compared, and a Lagrangian heuristic producing feasible solutions is presented. The results of a computational study are reported.

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