Knapsack problems: algorithms and computer implementations
Knapsack problems: algorithms and computer implementations
A new optimization algorithm for the vehicle routing problem with time windows
Operations Research
Solving binary cutting stock problems by column generation and branch-and-bound
Computational Optimization and Applications
On Improvements to the Analytic Center Cutting Plane Method
Computational Optimization and Applications
Discrete Mathematics
A Bionomic Approach to the Capacitated p-Median Problem
Journal of Heuristics
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
Constructive Genetic Algorithm for Clustering Problems
Evolutionary Computation
An exact algorithm for the capacitated vertex p-center problem
Computers and Operations Research
The capacitated centred clustering problem
Computers and Operations Research
Genetic subgradient method for solving location-allocation problems
Applied Soft Computing
A scatter search-based heuristic to locate capacitated transshipment points
Computers and Operations Research
A branch-and-price approach to p-median location problems
Computers and Operations Research
Lower and upper bounds for a capacitated plant location problem with multicommodity flow
Computers and Operations Research
Clustering search algorithm for the capacitated centered clustering problem
Computers and Operations Research
An exact algorithm for the capacitated vertex p-center problem
Computers and Operations Research
The capacitated centred clustering problem
Computers and Operations Research
A reactive GRASP with path relinking for capacitated clustering
Journal of Heuristics
Computers and Operations Research
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part I
A Lagrangian relaxation approach for a large scale new variant of capacitated clustering problem
Computers and Industrial Engineering
Expert Systems with Applications: An International Journal
Computers and Operations Research
Relax-and-fix decomposition technique for solving large scale grid-based location problems
Computers and Industrial Engineering
A hybrid metaheuristic approach for the capacitated p-median problem
Applied Soft Computing
Hi-index | 0.01 |
The Capacitated p-median problem (CPMP) seeks to solve the optimal location of p facilities, considering distances and capacities for the service to be given by each median. In this paper we present a column generation approach to CPMP. The identified restricted master problem optimizes the covering of 1-median clusters satisfying the capacity constraints, and new columns are generated considering knapsack subproblems. The Lagrangean/surrogate relaxation has been used recently to accelerate subgradient like methods. In this work the Lagrangean/surrogate relaxation is directly identified from the master problem dual and provides new bounds and new productive columns through a modified knapsack subproblem. The overall column generation process is accelerated, even when multiple pricing is observed. Computational tests are presented using instances taken from real data from São José dos Campos' city.