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Improving Genetic Algorithm with Fine-Tuned Crossover and Scaled Architecture

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  • Ajay Shrestha
  • Ausif Mahmood

Abstract

Genetic Algorithm (GA) is a metaheuristic used in solving combinatorial optimization problems. Inspired by evolutionary biology, GA uses selection, crossover, and mutation operators to efficiently traverse the solution search space. This paper proposes nature inspired fine-tuning to the crossover operator using the untapped idea of Mitochondrial DNA (mtDNA). mtDNA is a small subset of the overall DNA. It differentiates itself by inheriting entirely from the female, while the rest of the DNA is inherited equally from both parents. This unique characteristic of mtDNA can be an effective mechanism to identify members with similar genes and restrict crossover between them. It can reduce the rate of dilution of diversity and result in delayed convergence. In addition, we scale the well-known Island Model, where instances of GA are run independently and population members exchanged periodically, to a Continental Model. In this model, multiple web services are executed with each web service running an island model. We applied the concept of mtDNA in solving Traveling Salesman Problem and to train Neural Network for function approximation. Our implementation tests show that leveraging these new concepts of mtDNA and Continental Model results in relative improvement of the optimization quality of GA.

Suggested Citation

  • Ajay Shrestha & Ausif Mahmood, 2016. "Improving Genetic Algorithm with Fine-Tuned Crossover and Scaled Architecture," Journal of Mathematics, Hindawi, vol. 2016, pages 1-10, April.
  • Handle: RePEc:hin:jjmath:4015845
    DOI: 10.1155/2016/4015845
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    References listed on IDEAS

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    1. Ian J. Wilson & Michael E. Weale & David J. Balding, 2003. "Inferences from DNA data: population histories, evolutionary processes and forensic match probabilities," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 166(2), pages 155-188, June.
    2. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    3. Dimitris Fouskakis & David Draper, 2002. "Stochastic Optimization: a Review," International Statistical Review, International Statistical Institute, vol. 70(3), pages 315-349, December.
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