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Fast chaotic optimization algorithm based on spatiotemporal maps for global optimization

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  • Naanaa, Anis

Abstract

Recently, many researches have tackled chaos optimization algorithms (COAs) as an attractive method of global optimization. Considering the statistical property such as the probability density function (PDF) of the chaotic sequences, the search ability of COA can improve the global searching capability by escaping the local solutions than classical stochastic optimization algorithms. This paper proposes a novel method for global optimization using spatiotemporal map to improve the performance of the COA. The experimental results of typical nonlinear multimodal benchmark functions optimization show that spatiotemporal COA map (SCOA) improves the convergence and high efficiency compared to five hybrid optimization algorithms, which are the Monte Carlo-BFGS algorithm (MC-BFGS), Logistic map based chaos-BFGS algorithm (LM-BFGS), Skew Tent map based chaos-BFGS algorithm (STM-BFGS), COA based on the Logistic map (LM-COA) and COA based on the Skew Tent map (STM-COA).

Suggested Citation

  • Naanaa, Anis, 2015. "Fast chaotic optimization algorithm based on spatiotemporal maps for global optimization," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 402-411.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:402-411
    DOI: 10.1016/j.amc.2015.07.111
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    1. Yang, Dixiong & Li, Gang & Cheng, Gengdong, 2007. "On the efficiency of chaos optimization algorithms for global optimization," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1366-1375.
    2. Alatas, Bilal & Akin, Erhan & Ozer, A. Bedri, 2009. "Chaos embedded particle swarm optimization algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1715-1734.
    3. Hedar, Abdel-Rahman & Fukushima, Masao, 2006. "Tabu Search directed by direct search methods for nonlinear global optimization," European Journal of Operational Research, Elsevier, vol. 170(2), pages 329-349, April.
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