基于混沌模拟退火PSO算法的威布尔分布参数估计应用研究

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摘要针对三参数威布尔分布模型采用精确解法直接求解的不足，提出基于混沌模拟退火粒子群优化方法进行参数估计，引入Logistic混沌因子调整粒子群优化算法的更新策略以充分释放其遍历搜索能力，并采用模拟退火方法依据Tsallis接受准则以一定概率接受新状态，使算法避免陷入“早熟”进而实现全局最优搜索。同时为降低算法在迭代计算上的时间开销，运用图解法获得的初始解为其提供搜索范围。将该方法运用到轴承转子可靠度威布尔分布参数估计中，实验分析表明该方法具有可行性和有效性，与遗传算法、模拟退火粒子群优化算法相比具有更好的寻优能力。

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	许伟
	程刚
	黄林
	位秀雷
	瓮雷

关键词 ：混沌, 模拟退火, PSO, 威布尔分布, 参数估计

Abstract：Aiming at the deficiency of three parameter Weibull distribution model in directly solving by means of accurate solution, the parameter estimation based on chaotic simulated annealing particle swarm optimization algorithm is proposed, and the Logistic chaos factor is introduced to adjust the update strategy of particle swarm optimization algorithm so as to fully release its ergodic search ability. The simulated annealing method is used to accept the new state with a certain probability according to the acceptance criteria of Tsallis, so that the algorithm can avoid premature convergence and realize the global optimal search. At the same time, in order to reduce the time of iterative calculation, the initial solution obtained by the graphic method is used to provide the search scope. The method is applied to the reliable Weibull distribution parameter estimation of bearing rotor. Experimental results show that the method is feasible and effective and has better optimization performance compared with genetic algorithm and simulated particle swarm optimization algorithm.

Key words： Chaos Simulated Annealing PSO Weibull distribution Parameter estimation

收稿日期: 2016-04-05 出版日期: 2017-06-15

引用本文:

许伟，程刚，黄林，位秀雷，瓮雷. 基于混沌模拟退火PSO算法的威布尔分布参数估计应用研究[J]. 振动与冲击, 2017, 36(12): 134-139.
XU Wei，CHENG Gang，HUANG Lin,WEI Xiu Lei,WENG Lei. Chaotic simulated PSO algorithm application research for Weibull distribution parameter estimation. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(12): 134-139.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I12/134

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