Title
A multi-population hybrid biased random key genetic algorithm for hop-constrained trees in nonlinear cost flow networks.
Abstract
Genetic algorithms and other evolutionary algorithms have been successfully applied to solve constrained minimum spanning tree problems in a variety of communication network design problems. In this paper, we enlarge the application of these types of algorithms by presenting a multi-population hybrid genetic algorithm to another communication design problem. This new problem is modeled through a hop-constrained minimum spanning tree also exhibiting the characteristic of flows. All nodes, except for the root node, have a nonnegative flow requirement. In addition to the fixed charge costs, nonlinear flow dependent costs are also considered. This problem is an extension of the well know NP-hard hop-constrained Minimum Spanning Tree problem and we have termed it hop-constrained minimum cost flow spanning tree problem. The efficiency and effectiveness of the proposed method can be seen from the computational results reported.
Year
DOI
Venue
2013
10.1007/s11590-012-0505-5
Optimization Letters
Keywords
Field
DocType
Multi-population, Genetic algorithms, Local search, Network flows, Hop-constrained trees, General nonlinear costs
Flow network,Mathematical optimization,Distributed minimum spanning tree,Combinatorial optimization,Spanning tree,Multi-commodity flow problem,Reverse-delete algorithm,Mathematics,Minimum-cost flow problem,Minimum spanning tree
Journal
Volume
Issue
ISSN
7
6
1862-4480
Citations 
PageRank 
References 
6
0.44
37
Authors
2
Name
Order
Citations
PageRank
Dalila B. M. M. Fontes110211.77
José Fernando Gonçalves273637.31