Heuristic Search for the Generalized Minimum Spanning Tree Problem
INFORMS Journal on Computing
An efficient algorithm for generalized minimum spanning tree problem
Proceedings of the 12th annual conference on Genetic and evolutionary computation
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The Generalized Minimum Spanning Tree (GMST) problem requires spanning exactly one node from every cluster in an undirected graph. GMST problems are encountered in telecommunications network planning. A Tabu Search (TS) for the GMST problem is presented in this article. In our computational tests on 194 TSPLIB instances, TS found 152 optimal solutions. For those 42 unsolved instances, our algorithm has improved some previously best known solutions. Lower bounds of some unknown problems are improved by our heuristic relaxation algorithm.