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Cellular Genetic Algorithm Based on Chaotic Map |
LI Xue-Yan1, LI Xue-Mei1, LI Xue-Wei1, Wu Jin-Pei2 |
1.School of Economics and Management, Beijing Jiaotong University, Beijing 100044 2.Institute of Intelligence Technology and Systems, Wuyi University, Jiangmen 529020 |
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Abstract According to the function and structure characteristics of cellular genetic algorithm (CGA), chaos cellular genetic algorithm (CCGA) based on Cat map, Logistic map and Tent map are designed respectively with the organic combination of cellular genetic algorithm and chaos algorithm. Besides, the ergodicity of three chaotic mappings are explained. Taking advantage of chaotic ergodicity and sensitivity to initial condition, the initial distribution of population is optimized, the searching scope of the algorithm is enlarged, the mechanism of local chaotic crossover operator and chaotic mutation disturbance are designed, and the changes of population diversity are compared under different mapping operators. Theoretical analysis and simulation results show that the proposed algorithm has obtained good performance in improving optimizing accuracy, accelerating convergence and avoiding the local optimum by introducing three chaotic maps.
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Received: 30 August 2013
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