An effective genetic algorithm approach to the quadratic minimum spanning tree problem

An effective genetic algorithm approach to the quadratic minimum spanning tree problem

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Article ID: iaor1999354
Country: United Kingdom
Volume: 25
Issue: 3
Start Page Number: 229
End Page Number: 237
Publication Date: Mar 1998
Journal: Computers and Operations Research
Authors: ,
Keywords: heuristics
Abstract:

In this paper we present a new approach to solve the quadratic minimum spanning tree (q-MST) problem by using a genetic algorithm (GA). A skillful encoding for trees, denoted by Prüfer number, is adopted for GA operation. On comparing with the existing heuristic algorithms by 17 randomly generated numerical examples from 6-vertex graph to 50-vertex graph, the new GA approach shows its high effectiveness in solving the q-MST problem and real value in the practical network optimization.

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