An Evolutionary Approach to Bandwidth Minimization

Publication Type

Conference Proceeding Article

Publication Date

2003

Abstract

In this paper, we propose an integrated genetic algorithm with hill climbing to solve the matrix bandwidth minimization problem, which is to reduce bandwidth by permuting rows and columns resulting in the nonzero elements residing in a band as close as possible to the diagonal. Many algorithms for this problem have been developed, including the well-known CM and GPS algorithms. Recently, Marti et al., (2001) used tabu search and Pinana et al. (2002) used GRASP with path relinking, separately, where both approaches outperformed the GPS algorithm. In this work, our approach is to exploit the genetic algorithm technique in global search while using hill climbing for local search. Experiments show that this approach achieves the best solution quality when compared with the GPS algorithm, tabu search, and the GRASP with path relinking methods, while being faster than the latter two newly-developed heuristics.

Discipline

Operations and Supply Chain Management

Research Areas

Operations Management

Publication

CEC 2003: Congress on Evolutionart Computation, 8-12 December 2003, Canberra, Australia

ISBN

9780780378049

Identifier

10.1109/CEC.2003.1299641

Publisher

IEEE

City or Country

Canberra

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