A Variable Neighbourhood Search approach to the Cutwidth Minimization Problem

Abstract

The Cutwidth Minimization Problem, also known as the Minimum Cut Linear Arrangement consists of finding an arrangement of the vertices of a graph on a line, in such a way that the maximum number of edges between each pair of consecutive vertices is minimized. This problem has practical applications in VLSI Design, Network Migration and Graph Drawing, among others. In this paper we propose several heuristics based on the Variable Neighbourhood Search methodology to tackle the problem and we compare them with other state-of-the-art methods.

Publication
Electronic Notes in Discrete Mathematics
Eduardo García Pardo
Eduardo García Pardo
Full Professor

One of the founders of the investigation group GRAFO, whose main line of research is the development of algorithms to tackle optimization problems, the topic of the researcher’s Doctoral Thesis and which their most notable publications are framed.

Abraham Duarte
Abraham Duarte
Full Professor

Abraham Duarte is Full Professor in the Computer Science Department at the Rey Juan Carlos University (Madrid, Spain). He has done extensive research in the interface between computer science, artificial intelligence, and operations research to develop solution methods based on Computational Intelligence (metaheuristics) for practical problems in operations-management areas such as logistics and supply chains, telecommunications, decision-making under uncertainty and optimization of simulated systems.