local optimum

In order to enhance diversity of choosing route in initial phase, the paper introduce into a new choice strategy, it can certain extent weakened the trend of running into local optimum.

为了增加蚂蚁在初始阶段选择路径的多样性，论文对蚂蚁在以概率pikj（t）进行路径选择过程中引进了新的选择策略，在一定程度上削弱了混合算法陷入局部最优的趋势。

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the new algorithm includes the mutation operator during the running time which can be useful to improve the ability of pso in breaking away from the local optimum.

该算法在运行过程中增加了随机变异算子，通过对当前最佳粒子进行随机变异来增强粒子群优化算法跳出局部最优解的能力。

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this paper applies neural network theory to the reliability-based optimum design of a ship's longitudinal structure and adopts simulated annealing method and boltzmann machine principle by which we can avoid the local optimum and find the approximate global optimum of the system.

本文将人工神经网络理论应用于船舶纵向结构的可靠性优化设计中，采用模拟退火和玻尔茨曼机原理，在优化过程中可避开局部最优解，取得系统的近似最优解。

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This method is fast while avoiding the shortcoming that the G-S result is easy to trap in local optimum.

该方法不仅具有追迹法计算简单、运算量小的优点，而且克服了G-S算法容易陷入局部最优的缺点。

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a new hybrid dynamic obstacle avoidance algorithm under the unknown environment is introduced. it is a combination of the rolling plan, dynamic forecast and the reactive behavior for the static local optimum path planning.

将滚动规划、动态预测、静态局部最优的反应式规划等概念与方法集成，提出了一种动态未知环境下新的混合式动态避障算法。

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Based on the concept of gradient and the characteristic of distribution network, the method uses acceleration operation to the excellent individual to push it to a local optimum, then, uses migration operation to keep the diversity of the population.

根据梯度的概念和配电网络的结构特点，对可行解进行加速操作，使之迅速靠近并最终成为1个局部最优解，然后进行移民操作，以保持种群的多样性。

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The traditional clustering algorithms such as k-means and EM algorithm are based on a spherical sample space, when the sample space is not convex, the algorithm will stop at a local optimum.

传统的聚类分析算法最常见的比如k-means算法和EM算法，这些算法都是建立在凸球形的样本空间上，当样本空间不为凸时，算法会陷入局部最优。

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Besides, some specific details like soft landing issues and local optimum in traditional artificial field method are discussed and taken care of.

同时，文章还讨论了机器人跟踪目标的软着陆需求、人工势场法固有的局部极小等细节问题。

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secondly, aiming at the easily falling into local optimum problem, we introduce one or two perturbation vector into the search way of the improved algorithm. this can maintain the diversity of the population and prevent the algorithm falling into a focal optimum.

其次，针对算法容易陷入局部最优的问题，我们在改进算法的搜索方式中引入一个或两个扰动向量，这样来保持种群的多样性，防止算法陷入局部最优。

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by using the multi-parent crossover operator and the new mutation operator, the variety of population and the ability of mpga algorithm breaking away from the local optimum are effectively improved.

该算法通过引入多父体杂交算子和新的变异算子，有效的增强了种群的多样性及算法跳出局部最优解的能力。

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It improves and designs crossover operation and mutation operation for avoiding the local optimum.

该算法对交叉算子和变异算子进行改进,能有效避免局部最优.

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As Particle Swarm Optimization ( PSO) may easily get trapped in a local optimum, an improved PSO based on adaptive dynamic neighborhood and comprehensive learning named ADPSO was proposed.

为了克服粒子群算法在求解多峰函数时极易陷入局部最优解的缺陷，提出一种基于自适应动态邻居广义学习的改进粒子群算法（ADPSO）。

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Since K-mean algorithm converges quickly while easily getting into local optimum and difference evolution can avoid the disadvantage of the K-mean algorithm.

由于K-mean算法具有收敛快的优点但易陷入局部最优，而差分进化算法可避免K-mean算法陷入局部最优。

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But the problem is that the two parameter estimation algorithms for HMMs, the Viterbi algorithm and Baum Welch algorithm, are only guaranteed to find a local optimum.

然而，目前的HMM参数估计算法Viterbi算法和Baum-Welch算法，都只能找到局部最优比对，无法找到全局最优比对。

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But along with the extending of the problem, GA tends to get local optimum s.

但是随着问题规模扩大, 简单遗传算法容易出现“早熟”或陷入局部极值.

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That they are easy to fall into a local optimum is the shortcoming of conventional optimization methods.

传统的优化方法，即所谓的确定性优化方法的突出缺陷是容易陷入局部最优解。

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Neural network BP training algorithm based on gradient descend technique may lead to entrapment in local optimum so that the network inaccurately classifies input patterns.

基于梯度下降的神经网络训练算法易于陷入局部最小，从而使网络不能对输入模式进行准确分类。

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the basic principle of cpso algorithm is that chaos initialization is adopted to improve individual quality and chaos perturbation is utilized to avoid the search being trapped in local optimum.

该算法的思想是采用混沌初始化进行改善个体质量和利用混沌扰动避免搜索过程陷入局部极值。

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In the search process, particle swarm may fall into local optimum but not the global optimum.

粒子群在搜索的过程当中，可能会陷入局部最优但却不是全局最优值的问题。

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the initial solution has little effect on the algorithm: when the algorithm is trapped into a local optimum, it needs to perturb the best-so-far solution and continue the searching process, while the perturbation strength has significant effect on the performance of the algorithm.

该算法对初始解不是很敏感：当算法陷于局部极小时，需要对当前最优解做扰动并继续搜索，此时扰动强度对算法的性能有明显的影响。

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It can help the gradient method to skip the local optimum and achieve the global minimum.

该算法能帮助梯度法跳出局部最优，获得全局最优解，并对算法的收敛性进行了证明。

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an hybrid search strategy which combines genetic algorithm and powell's method is adopted to avoid the impact of local optimum.

使用遗传算法和Powell方法相结合的混合优化算法，在遗传算法全局搜索的基础上用Powell方法进行局部优化，在搜索的过程能避开局部极值的影响。

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