A new approach to solving 0-1 multiconstraint knapsack problems using attribute grammar with lookahead

  • Authors:
  • Muhammad Rezaul Karim;Conor Ryan

  • Affiliations:
  • Biocomputing and Developmental Systems Group, Department of Computer Science and Information Systems, University of Limerick, Ireland;Biocomputing and Developmental Systems Group, Department of Computer Science and Information Systems, University of Limerick, Ireland

  • Venue:
  • EuroGP'11 Proceedings of the 14th European conference on Genetic programming
  • Year:
  • 2011

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Abstract

In this paper, we introduce a new approach to genotype-phenotype mapping for Grammatical Evolution (GE) using an attribute grammar (AG) to solve 0-1 multiconstraint knapsack problems. Previous work on AGs dealt with constraint violations through repeated remapping of non-terminals, which generated many introns, thus decreasing the power of the evolutionary search. Our approach incorporates a form of lookahead into the mapping process using AG to focus only on feasible solutions and so avoid repeated remapping and introns. The results presented in this paper show that the proposed approach is capable of obtaining high quality solutions for the tested problem instances using fewer evaluations than existing methods.