BVNS para el problema del bosque generador k-etiquetado

In this paper we propose an efficient solution for the problem of generating k-labeling forest VNS. This problem is an extension of the Minimum Spanning Tree Problem Labelling problem with important applications in telecommunications networks and multimodal transport. It is, given an undirected graph whose links are labeled, and an integer positive number k, find the spanning forest with the lowest number of connected components using at most k different labels. To address the problem a Basic Variable Neighbourhood Search is proposed where the maximum amplitude of the neighbourhood space, n, is a key parameter. Different strategies are studied to establish the value of n. BVNS with the best selected strategy is experimentally compared with other metaheuristics that have appeared in the literature applied to this type of problem.