PSOSA混合优化策略

本文提出了一种微粒群算法与模拟退火算法相结合的混合优化方法，该方法在群体进化的每一代中，首先通过微粒群算法的进化方法来控制微粒的飞行方向，然后利用模拟退火算法来拓展其搜索领域。这样既可以利用微粒群算法的收敛快速性，又可以利用模拟退火算法的全局收敛性。本文还证明了该混合优化方法依概率1收敛于全局最优解。仿
真结果表明，在搜索空间维数增大时，该方法的全局收敛性明显优于基本微粒群算法。     

基于混沌微粒群优化算法的阈值图像分割

混沌微粒群优化算法利用了粒子群优化算法收敛速度快和混沌运动所具有的随机性、遍历性和初值敏感性,将混沌状态引入到优化变量中,把混沌的遍历范围映射到优化变量的取值范围.在算法执行过程中对优秀个体混沌扰动,有利于跳出局部极值点,搜索到全局最优解.分别用微粒群优化算法和混沌微粒群优化算法求解函数优化问题,对算法的性能进行检验,检验结果显示:混沌微粒群优化算法搜索全局最优解的成功率和收敛速度都要优于微粒群优化算法.将混沌微粒群优化算法与阈值法相结合,在算法初始化阶段对粒子位置混沌初始化;在算法运行期间对优秀个体进行混沌扰动避免落入局部最优,较好地解决了传统的多阈值图像分割方法中运算量大的问题.实验结果表明,混沌微粒群优化算法用于阈值寻优减少了搜索时间,提高了收敛率.     

改进的多种群协同进化微粒群优化算法

提出一种改进的基于多种群协同进化的微粒群优化算法（ＰＳＯ）．该算法首先利用免疫算法实现解空间的均匀划分,增加了算法稳定性和全局搜索能力．在运行过程中,通过种群进化信息生成解优胜区域,指导变异生成的微粒群向最优解子空间逼近,提高算法逃出局部最优的能力．将此算法与ＰＳＯ 算法和多种群协同进化微粒群算法进行比较,数据实验证明,该算法不仅能有效地克服其他算法易陷入局部极小值的缺点,而且全局收敛能力和稳定性均有显著提高．     

结合禁忌搜索的改进粒子群优化算法

为提高粒子群优化算法的全局搜索和局部开采能力,提出一种结合禁忌搜索(TS)的改进粒子群优化算法。在搜索过程中,以线性递增的概率对最优粒子实施随机扰动,在全局搜索收敛到一定程度后,引入TS算法进行局部搜索,使算法快速收敛到全局最优解。分析结果表明,该算法收敛精度较高,能有效克服早熟收敛问题。     

人工鱼群与微粒群混合优化算法*

针对人工鱼群算法局部搜索不精确、微粒群优化算法易发生过早收敛等问题,提出一种新的人工鱼群与微粒群混合优化算法。算法的主要思想是先利用人工鱼群的全局收敛性快速寻找到满意的解域,再利用粒子群算法进行快速的局部搜索,所得混合算法具有局部搜索速度快,而且具有全局收敛性能。最后,以五个标准函数和一个应用实例进行测试,测试结果表明,提出的算法在一定程度上避免了陷入局部极小,加快了收敛速度且提高了搜索精度。     

自适应分区段混合粒子群优化算法

该算法先利用Christos贪心算法将整个搜索区域进行自适应分区段,在每一区段内搜索出最优位置,然后将各区段的最优位置组成一新微粒群,继续搜索全局最优位置。而在每个区段中,又将模拟退火算法引入到粒子群优化(PSO)之中,通过Boltzmann机制选择每一区段中局部极值,使新算法在不同阶段兼顾对多样性和收敛速度的不同要求。与其他混合PSO算法相比,仿真实验表明,新算法具有较高的解精度,能较好地解决过早收敛问题。     

基于群体爬山策略的混合粒子群优化算法

针对粒子群优化算法（PSO）在求解高维复杂优化问题时存在搜索精度不高和易陷入局部最优解的缺陷,借鉴混合蛙跳算法（SFLA）的群体爬山思想,提出一种基于群体爬山策略的混合粒子群优化算法（CMCPSO）,并证明了CMCPSO算法的全局收敛性。对四个典型高维连续优化函数的求解表明,该算法不仅保持了PSO算法的快速收敛能力,而且吸收了SFLA算法局部精细搜索和保持种群多样性的优点,具有良好的全局收敛性。     

一种改进的求解TSP混合粒子群优化算法

为解决粒子群算法在求解组合优化问题中存在的早熟性收敛和收敛速度慢等问题,将粒子群算法与局部搜索优化算法结合,可抑制粒子群算法早熟收敛问题,提高粒子群算法的收敛速度。通过建立有效的局部搜索优化算法所需借助的参照优化边集,提高了局部搜索优化算法的求解质量和求解效率。新的混合粒子群算法高效收敛于中小规模旅行商问题的全局最优解,实验表明改进的混合粒子群算法是有效的。     

一种局部与全局相结合的微粒群优化算法

提出一种基于局部与全局搜索相结合的粒子群算法.该算法结合全局和局部PSO算法的优点,摆脱局部极优点的束缚,保持前期搜索速度快的特性,提高全局搜索能力.仿真实验表明,与标准微粒群优化算法相比,该算法的全局收敛性能得到显著提高,有效地避免微粒群优化算法中的局部收敛问题,并快速搜索到全局最优解.     

一种动态分级的混合粒子群优化算法

针对粒子群算法早熟收敛和搜索精度不高的问题,提出一种动态分级的混合粒子群优化算法．该算法采取３种级别的并行粒子群算法,分别用于全局搜索和局部搜索及二者的结合,并根据搜索阶段动态调整各种级别中并行变量的数目．在全局搜索中,将混沌机制引入算法中以增强算法的全局搜索能力;在局部搜索中,采用单纯形法对适应度最优解进行局部寻优．仿真实验表明,该算法比其他优化算法具有更好的性能．     

Multiobjective optimization using population-based extremal optimization

In recent years, a general-purpose local-search heuristic method called Extremal Optimization (EO) has been successfully applied in some NP-hard combinatorial optimization problems. In this paper, we present a novel Pareto-based algorithm, which can be regarded as an extension of EO, to solve multiobjective optimization problems. The proposed method, called Multiobjective Population-based Extremal Optimization (MOPEO), is validated by using five benchmark functions and metrics taken from the standard literature on multiobjective evolutionary optimization. The experimental results demonstrate that MOPEO is competitive with the state-of-the-art multiobjective evolutionary algorithms. Thus MOPEO can be considered as a viable alternative to solve multiobjective optimization problems.     

Multi-objective optimization using teaching-learning-based optimization algorithm

Two major goals in multi-objective optimization are to obtain a set of nondominated solutions as closely as possible to the true Pareto front (PF) and maintain a well-distributed solution set along the Pareto front. In this paper, we propose a teaching-learning-based optimization (TLBO) algorithm for multi-objective optimization problems (MOPs). In our algorithm, we adopt the nondominated sorting concept and the mechanism of crowding distance computation. The teacher of the learners is selected from among current nondominated solutions with the highest crowding distance values and the centroid of the nondominated solutions from current archive is selected as the Mean of the learners. The performance of proposed algorithm is investigated on a set of some benchmark problems and real life application problems and the results show that the proposed algorithm is a challenging method for multi-objective algorithms.     

Biogeography-based optimization for constrained optimization problems

Biogeography-based optimization (BBO) has been recently proposed as a viable stochastic optimization algorithm and it has so far been successfully applied in a variety of fields, especially for unconstrained optimization problems. The present paper shows how BBO can be applied for constrained optimization problems, where the objective is to find a solution for a given objective function, subject to both inequality and equality constraints.     

Blended biogeography-based optimization for constrained optimization

Biogeography-based optimization (BBO) is a new evolutionary optimization method that is based on the science of biogeography. We propose two extensions to BBO. First, we propose a blended migration operator. Benchmark results show that blended BBO outperforms standard BBO. Second, we employ blended BBO to solve constrained optimization problems. Constraints are handled by modifying the BBO immigration and emigration procedures. The approach that we use does not require any additional tuning parameters beyond those that are required for unconstrained problems. The constrained blended BBO algorithm is compared with solutions based on a stud genetic algorithm (SGA) and standard particle swarm optimization 2007 (SPSO 07). The numerical results demonstrate that constrained blended BBO outperforms SGA and performs similarly to SPSO 07 for constrained single-objective optimization problems.     

全局优化的蝴蝶优化算法

针对基本蝴蝶优化算法中存在的易陷入局部最优值、收敛速度慢等问题,提出一种全局优化的蝴蝶算法,引入limit阈值来限定蝴蝶优化算法陷入局部最优解的次数,从而改变算法易陷入早熟的问题,结合单纯形策略优化迭代后期位置较差的蝴蝶使种群能够较快地找到全局最优解;将正弦余弦算法作为局部算子融入BOA中,改善迭代后期种群多样性下降的缺陷,加快算法跳出局部最优。在仿真模拟实验中与多个算法进行对比,结果表明改进算法的寻优性能更好。     

Combining Bayesian optimization and Lipschitz optimization

Machine Learning - Bayesian optimization and Lipschitz optimization have developed alternative techniques for optimizing black-box functions. They each exploit a different form of prior about the...     

Multi-verse optimization algorithm- and salp swarm optimization algorithm-based optimization of multilevel inverters

Neural Computing and Applications - Renewable energy sources are installed into both distribution and transmission grids more and more with the introduction of smart grid concept. Hence, efficient...     

一种改进的约束优化粒子群算法*

提出一种新的约束优化粒子群算法。该算法采用非固定多段映射罚函数法处理约束条件。在进化过程中,利用混沌序列初始化种群,选取最优粒子进行局部一维搜索,增强了在最优点附近的局部搜索能力,以加快算法的收敛速度;引入维变异方法保持种群的多样性。数值实验结果表明了该算法的有效性。     

Non-parametric particle swarm optimization for global optimization

In recent years, particle swarm optimization (PSO) has extensively applied in various optimization problems because of its simple structure. Although the PSO may find local optima or exhibit slow convergence speed when solving complex multimodal problems. Also, the algorithm requires setting several parameters, and tuning the parameters is a challenging for some optimization problems. To address these issues, an improved PSO scheme is proposed in this study. The algorithm, called non-parametric particle swarm optimization (NP-PSO) enhances the global exploration and the local exploitation in PSO without tuning any algorithmic parameter. NP-PSO combines local and global topologies with two quadratic interpolation operations to increase the search ability. Nineteen (19) unimodal and multimodal nonlinear benchmark functions are selected to compare the performance of NP-PSO with several well-known PSO algorithms. The experimental results showed that the proposed method considerably enhances the efficiency of PSO algorithm in terms of solution accuracy, convergence speed, global optimality, and algorithm reliability.     

Variable mesh optimization for continuous optimization problems

Population-based meta-heuristics are algorithms that can obtain very good results for complex continuous optimization problems in a reduced amount of time. These search algorithms use a population of solutions to maintain an acceptable diversity level during the process, thus their correct distribution is crucial for the search. This paper introduces a new population meta-heuristic called “variable mesh optimization” (VMO), in which the set of nodes (potential solutions) are distributed as a mesh. This mesh is variable, because it evolves to maintain a controlled diversity (avoiding solutions too close to each other) and to guide it to the best solutions (by a mechanism of resampling from current nodes to its best neighbour). This proposal is compared with basic population-based meta-heuristics using a benchmark of multimodal continuous functions, showing that VMO is a competitive algorithm.