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遗传算法及其在水问题中的应用 【作者】金菊良 【导师】李纪人; 朱元生

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遗传算法及其在水问题中的应用水利论文&m#SO|5h

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【作者】金菊良 【导师李纪人; 朱元生水利论文;w:\0eu Z$]R
【作者基本信息】河海大学,水文水资源与水环境,1998年,博士水利论文3W+VE_2S.Z

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【中文摘要】 在对遗传算法(GA)进行较为深入、系统的探讨基础上,本文提出了对简单遗传算法(SGA)的一种改进方案—加速遗传算法(AGA),并把AGA 系统地应用于洪水灾害评估、水文水资源建模和水环境优化等一系列水问题中,形成了一种理论研究与应用研究紧密结合的独特体系。其主要内容如下:1.指出了传统优化方法处理复杂水问题的局限性,论述了GA 的研究进展,并提出了研究遗传算法的一种基本思路,即对遗传算法本身的研究过程也可以采用与GA 演化过程一致的方式来进行。这种思路对选择科研策略、评价科研成果甚至认识自然、改造自然等过程也同样适用。2.指出了SGA 在全局优化性能与收敛性之间存在着固有的矛盾。3.归纳了SGA 在应用中已表现出的许多缺陷,并在前人研究成果的基础上提出了对SGA 进行全面改进的11 种方式。为提高SGA 的收敛速度,同时兼顾SGA的全局优化能力,提出了AGA,其要点是:(1)AGA的基本原理是利用在SGA演化过程中所搜索到的优秀个体这一小群体来逐步调整、压缩SGA 以后的搜索空间,从而减少了算法的计算量,提高了算法的搜索效率;(2)得到了AGA 控制参数的简便设置技术,它们是:二进制编...更多码长度e、杂交概率pc和个体串的变异率pm分别固定设置为10、1.0 和1.0;群体规模n 与优秀个体数目s 存在经验关系式:s/n>n/(e·2e),并且建议n 取300 以上,s 相应取10 以上;在每次加速循环中AGA 只进行两次进化迭代;(3)归纳了AGA 的一些显著特点:它是收敛的;具有全局优化能力;它的计算量少、解的精度不再受二进制编码长度的控制,因此它适用于实变量优化问题、连续/离散混合优化问题;它对优化变量搜索空间的大小变化具有适应性,表现为对适应度函数值越敏感的优化变量,它的搜索空间被压缩得越快;AGA 控制参数的设置技术较确定、简便;(4)11 个不同的典型优化问题对AGA 的测试结果表明了AGA 的优化性能是稳健的,AGA 控制参数的简便设置技术是可行的,初步预示出AGA 潜在的应用前景。4.探讨了AGA与BP网络的结合问题,并提出了训练BP神经网络的新方法—BP-AGA 混合算法并给出了相应的实现技术。测试结果表明了,与纯BP 算法相比,BP-AGA混合算法能加快BP神经网络参数的优化进程,同时在一定程度上改善了  还原水利论文tsh&t u Y+j

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【英文摘要】 On the basis of the systematic and deep discussion and study on geneticalgorithm(GA),in this dissertation, an improved simple geneticalgorithm(SGA),named accelerating genetic algorithm(AGA),is presented, and AGAis applied systematically to water problems such as flood disasterevaluation ,constructing mathematics models for hydrology and water resources ,andoptimization problems in water environment , which establishes a system closelycombining theoretical research with practical application. The major contents aresummarized as following:1.Some shortcomings of the traditional optimization methods for resolvingcomplex water problems are pointed out, and the origination, development andapplication of genetic algorithm are stated and summarized. A basic approach tostudying genetic algorithm is presented ,which is that the process of studying geneticalgorithm is the same as the process of the evolution of genetic algorithm ,the sameapplies to the processes of selecting strategy of scientifi...更多c research, evaluatingachievements in scientific research, understanding and remaking natural.2.The intrinsic contradiction between the total optimization and the convergenceof SGA is pointed out.3.On the basis of the above summarization, eleven approaches to improvementon SGA are given .AGA is presented for accelerating the evolution of SGA, taking account of thetotal optimization of SGA. The convenient configuration of the control parameters ofAGA is obtained ,that is:(1)the encoding length of bit string(e) ,the probability ofcrossover(pc) and the probability of the mutation of string(pm) can be chosen 10,1.0and 1.0 respectively ;(2)the population dimension(n) and the number of superiorindividuals produced in the process of every evolutionary iteration(s) have theexperimental relation as following: s/n>n/(e·2e), and the value of n is suggested to bechosen as 300 or larger than 300,so the value of s is suggested to be chosen as 10 orlarger than 10 when AGA is applied to the practical problems;(3)only twoevolutionary iterations of SGA are done in each acceleration evolutionary iteration.The theoretic analysis and the testing result of AGA under eleven differenceoptimization problems show that the characteristics of AGA are good and its field ofapplication is very wide.4.A new algorithm for training BP artificial neural networks ,named BP-AGA  还原

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UN p X;Q7N0【中文关键词】 水问题; 优化方法; 遗传算法; BP-AGA 混合算法水利论文l/~%a y5_r9@$}2\
【英文关键词】 Water Problem; Optimization Method; Genetic Algorithm; BP-AGA Combined Algorithm

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