A tabu search algorithm for the Capacitated Shortest Spanning Tree Problem

Abstract

The Capacitated Shortest Spanning Tree Problem consists of determining a shortest spanning tree in a vertex weighted graph such that the weight of every subtree linked to the root by an edge does not exceed a prescribed capacity. We propose a tabu search heuristic for this problem, as well as dynamic data structures developed to speed up the algorithm. Computational results on new randomly generated instances and on instances taken from the literature indicate that the proposed approach produces high-quality solutions within reasonable computing times. © 1997 John Wiley & Sons, Inc. Networks 29: 161–171, 1997