Discrete facility location with nonlinear diseconomies in fixed costs
Annals of Operations Research
BIRCH: A New Data Clustering Algorithm and Its Applications
Data Mining and Knowledge Discovery
A Heuristic Method for the Set Covering Problem
Operations Research
Computational study of large-scale p-Median problems
Mathematical Programming: Series A and B
The Optimal Diversity Management Problem
Operations Research
An effective heuristic for large-scale capacitated facility location problems
Journal of Heuristics
Capacitated facility location problem with general setup cost
Computers and Operations Research
An aggregation heuristic for large scale p-median problem
Computers and Operations Research
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A discrete location problem with nonlinear objective is addressed. A set of p plants is to be open to serve a given set of clients. Together with the locations, the number p of facilities is also a decision variable. The objective is to minimize the total cost, represented as the transportation cost between clients and plants, plus an increasing nonlinear function of p. Two Lagrangean relaxations are considered to derive lower bounds. Dual information is also used to design a core heuristic. Computational results are given, showing that nearly optimal solutions are obtained in short running times.