小生境遗传算法及其在地球物理反演中的应用研究
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摘要
遗传算法在地球物理反演中已经得到越来越广泛的应用,而常规遗传算法存在早熟收敛和后期收敛速度慢的弱点。本文介绍一种基于小生境技术的改进遗传算法,它不但具有良好的收敛可靠性,而且具有较快的收敛速度。文章扼要分析了小生境遗传算法的运行机制,并对遗传算法的收敛性作了详细分析。对给出的三个测试函数和理论地震波速反演的实验数据表明,该算法确实是一种行之有效的遗传算法。
Genetic algorithm has been widely used in geophysics inversion,but the general genetic algorithm has the defects of prematurity and stagnation,so this paper proposed a class of variation based on niche technology,which has good reliability of convergence,but also high speed of converging.This paper particularly analyzed the work mechanism and the algorithm convergence of the niching genetic algorithms.The experiment data of three functions and theoretical waveform inversion illuminate showed that the niching genetic algorithms is effective.
Genetic algorithm has been widely used in geophysics inversion,but the general genetic algorithm has the defects of prematurity and stagnation,so this paper proposed a class of variation based on niche technology,which has good reliability of convergence,but also high speed of converging.This paper particularly analyzed the work mechanism and the algorithm convergence of the niching genetic algorithms.The experiment data of three functions and theoretical waveform inversion illuminate showed that the niching genetic algorithms is effective.
引文
[1]王家映.地球物理反演理论[M].北京:高等教育出版社,2002.
[2]杨文采.地球物理反演的理论与方法[M].北京:地质出版社,1997.
[3]Holland John H.Adaptation in Natural and Artificial Systems[M].Ann Arbor:The University of Michi-gan Press,1975;Cambridge,MA:The MIT Press,1992.
[4]De Jong K A.Genetic Algorithms:A 25 Years Per-spective.Computational Intelligence Imitating Life[J].IEEE press,1994,25(5):125-136.
[5]Thomas Back.Evolutionary Algorithms in Theory and Practice[M].New York:Oxford University Press,1996.
[6]武斌,张淳,丁彦.BT神经网络在工程测井反演中的应用研究[J].工程地球物理学报,2006,3(4):257-260.
[7]王延坤,刘江平,王万合,等.对缺失频段的瑞雷波频散曲线反演的误差分析[J].工程地球物理学报,2006,3(1):38-44.
[8]黄聪明,陈湘秀.小生境遗传算法的改进[J].北京理工大学学报,2004,24(8):675-678.
[9]朱筱蓉,张兴华.基于小生境遗传算法的多峰函数全局优化研究[J].南京工业大学学报,2006,28(3):39-43.
[10]周优军,汪灵枝.小生境遗传算法在函数优化中的应用[J].柳州师专学报,2006,21(1):107-110.
[11]云庆夏,黄光球,王战权.遗传算法和遗传规划[M].北京:冶金工业出版社,1997.
[12]周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999.
[13]周北岳,郭观七.小生境技术对遗传算法的改进作用研究[J].岳阳师范学院学报(自然科学版),2001,14(4):18-21.
[14]陈国良,王煦法,庄镇泉.遗传算法及其应用[M].北京:人民邮电出版社,1996.
[15][美]Z米凯利维茨.演化程序─遗传算法和数据编码的结合[M].北京:科学出版社,2000.
[2]杨文采.地球物理反演的理论与方法[M].北京:地质出版社,1997.
[3]Holland John H.Adaptation in Natural and Artificial Systems[M].Ann Arbor:The University of Michi-gan Press,1975;Cambridge,MA:The MIT Press,1992.
[4]De Jong K A.Genetic Algorithms:A 25 Years Per-spective.Computational Intelligence Imitating Life[J].IEEE press,1994,25(5):125-136.
[5]Thomas Back.Evolutionary Algorithms in Theory and Practice[M].New York:Oxford University Press,1996.
[6]武斌,张淳,丁彦.BT神经网络在工程测井反演中的应用研究[J].工程地球物理学报,2006,3(4):257-260.
[7]王延坤,刘江平,王万合,等.对缺失频段的瑞雷波频散曲线反演的误差分析[J].工程地球物理学报,2006,3(1):38-44.
[8]黄聪明,陈湘秀.小生境遗传算法的改进[J].北京理工大学学报,2004,24(8):675-678.
[9]朱筱蓉,张兴华.基于小生境遗传算法的多峰函数全局优化研究[J].南京工业大学学报,2006,28(3):39-43.
[10]周优军,汪灵枝.小生境遗传算法在函数优化中的应用[J].柳州师专学报,2006,21(1):107-110.
[11]云庆夏,黄光球,王战权.遗传算法和遗传规划[M].北京:冶金工业出版社,1997.
[12]周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999.
[13]周北岳,郭观七.小生境技术对遗传算法的改进作用研究[J].岳阳师范学院学报(自然科学版),2001,14(4):18-21.
[14]陈国良,王煦法,庄镇泉.遗传算法及其应用[M].北京:人民邮电出版社,1996.
[15][美]Z米凯利维茨.演化程序─遗传算法和数据编码的结合[M].北京:科学出版社,2000.
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