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  • 标题:A Memetic Algorithm for Designing Balanced Incomplete Blocks
  • 本地全文:下载
  • 作者:David Rodríguez Rueda ; Carlos Cotta ; Antonio J. Fernández Leiva
  • 期刊名称:International Journal of Combinatorial Optimization Problems and Informatics
  • 印刷版ISSN:2007-1558
  • 电子版ISSN:2007-1558
  • 出版年度:2011
  • 卷号:2
  • 期号:1
  • 页码:14-22
  • 语种:English
  • 出版社:International Journal of Combinatorial Optimization Problems and Informatics
  • 其他摘要:The generation of balanced incomplete block designs (BIBD) is a hard constrained combinatorial problem whose applications are manifold. Although the BIBD problem can be easily formulated as a combinatorial optimization problem, its resolution still constitutes a formidable challenge for solving techniques. In this work we devise a memetic algorithm (MA) for tackling the BIBD problem. This MA features a heuristic recombination operator based on greedy procedures and a local search method embedded in the evolutionary cycle. An extensive empirical evaluation is done using 86 different instances of the problem. The results indicate that the two mentioned components of the MA contribute synergistically to the performance of the algorithm, whose results are better than those of other metaheuristics such as genetic algorithms, hill climbing, and tabu search (which was the previous incumbent for the problem).
  • 关键词:Balanced incomplete block designs; combinatorial optimization problem; genetic algorithms; metaheuristics; memetic algorithm
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