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A Fuzzy Genetic Algorithm Based on Binary Encoding for Solving Multidimensional Knapsack Problems

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  • M. Jalali Varnamkhasti
  • L. S. Lee

Abstract

The fundamental problem in genetic algorithms is premature convergence, and it is strongly related to the loss of genetic diversity of the population. This study aims at proposing some techniques to tackle the premature convergence by controlling the population diversity. Firstly, a sexual selection mechanism which utilizes the mate chromosome during selection is used. The second technique focuses on controlling the genetic parameters by applying the fuzzy logic controller. Computational experiments are conducted on the proposed techniques and the results are compared with other genetic operators, heuristics, and local search algorithms commonly used for solving multidimensional 0/1 knapsack problems published in the literature.

Suggested Citation

  • M. Jalali Varnamkhasti & L. S. Lee, 2012. "A Fuzzy Genetic Algorithm Based on Binary Encoding for Solving Multidimensional Knapsack Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:703601
    DOI: 10.1155/2012/703601
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    References listed on IDEAS

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    1. Pisinger, David, 1995. "An expanding-core algorithm for the exact 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 175-187, November.
    2. Magazine, M. J. & Oguz, Osman, 1984. "A heuristic algorithm for the multidimensional zero-one knapsack problem," European Journal of Operational Research, Elsevier, vol. 16(3), pages 319-326, June.
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    Cited by:

    1. M. Jalali Varnamkhasti & Nasruddin Hassan, 2012. "Neurogenetic Algorithm for Solving Combinatorial Engineering Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

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