电力系统无功优化的柯西粒子群算法

针对传统粒子群算法易陷入局部最优解、收敛速度慢的缺点,提出了柯西粒子群算法,并首次将其应用于电力系统无功优化问题.柯西粒子群算法是基于柯西分布的期望和方差均不存在的原理,对每一代粒子的全局极值进行柯西变异,以此来增加种群的多样性,扩大全局最优粒子的搜索区域,以尽快获得适应度更优的个体,从而可以避免算法陷入局部最优解,同...     

一种催化粒子群算法及其性能分析

针对粒子群算法（PSO）在解决高维、多模复杂问题时容易陷入局部最优的问题,提出了一种新颖的混合算法—催化粒子群算法（CPSO）。在CPSO优化过程中,种群中的粒子始终保持其个体历史最优值pbests。CPSO种群更新由改造PSO、横向交叉以及垂直交叉三个搜索算子交替进行,其中,每个算子产生的中庸解均通过贪婪思想产生占优解pbests,并作为下一个算子的父代种群。在CPSO中,纵横交叉算法（CSO）作为PSO的加速催化剂,一方面通过横向交叉改善PSO的全局收敛性能,另一方面通过纵向交叉维持种群的多样性。对6个典型benchmark函数的仿真结果表明,相比其它主流PSO变体,CPSO在全局收敛能力和收敛速率方面具有明显优势。     

一种快速多种群的粒子群多模优化算法

针对粒子群多模优化问题中存在的易早熟、收敛速度慢及寻优精度低等问题,提出了一种快速多种群的粒子群多模优化算法。首先采用动态半径及种群划分策略,避免了多种群区域重叠问题;然后引入拓扑机制,使种群内粒子在速度上保持同步,以群落为单位在解空间上飞行,加快进化速度;同时增加种群之间的交流,在多样性和快速收敛之间达到平衡;最后采用随机权重、异步变化因子及种群淘汰策略,提高算法的搜索能力和学习能力。通过几个典型测试函数的实验结果表明,该算法具有较好的多模态寻优率,在收敛速度和精度等方面均有提高。     

基于搜索空间可调的自适应粒子群优化算法与仿真

针对收缩因子粒子群优化(CPSO)算法易陷入局部最优和发生过早收敛的问题.提出了基于搜索空间可调的自适应粒子群优化(APSO)算法.该算法根据种群早熟收敛程度和个体适应值,在CPSO算法停滞时,将全部粒子有效地划分在3类不同的搜索空间,使种群始终保持搜索空间的多样性,易于跳出局部最优,从而有效地改善了CPSO算法后期的寻优能力.     

二进制粒子群优化算法在化工优化问题中的应用

优化问题是化工过程的一个主要问题,而由化工问题建模所得到的优化问题大多较为复杂,此时要求的优化算法具有良好的优化性能。粒子群优化算法是新近发展起来的一种优化算法,但其对多极值函数的优化时,易陷局部极值。本文在分析粒子群优化算法的机理、考虑二进制比十进制更易于学习等的基础上,提出采用二进制表示粒子群优化算法,使每个粒子更易于从个体极值与全局极值中学习,从而使算法具有更强的搜索能力与更快的收敛速度,性能测试说明了所提出的算法是有效的．最后将算法用于求解换热网络的优化问题,取得良好效果。     

基于文化微粒群算法的丙烯腈收率软测量模型

丙烯腈收率是丙烯腈装置的关键指标,如何得到丙烯腈收率是厂家很关注的研究,将新型优化算法用于丙烯腈收率软测量建模是1种较好的尝试。将新型微粒群优化算法用于同样新型的文化算法种群空间的优化,设计文化微粒群优化算法。它由种群空间和信念空间2部分组成,在种群空间和信念空间分别采用各自算法并行演化,同时,2个空间又根据一定的协议相互联系。分别将该算法和基本微粒群算法用于一些常用测试函数的优化问题;结果表明,与基本微粒群算法相比,文化微粒群算法加强了全局搜索能力,更容易收敛于全局最优解。最后将文化微粒群优化算法用于优化神经网络,构成文化微粒群神经网络,并将其应用于丙烯腈收率软测量建模。结果表明,此模型精度高,应用前景广阔。     

一种基于混合优化算法的医学图像配准方法

为了实现脑部多模医学图像配准,提出了一种基于混合优化算法的配准方法。该算法采用遗传算法中的杂交思想改进了混沌粒子群算法,并用最大互信息测度对脑部MRI及CT图像进行配准。该改进算法可有效地避免优化算子陷入局部极值,而且算法收敛快。实验结果证明了提出的基于遗传思想的改进混沌粒子群优化算法对多模医学图像配准具有有效性。     

基于多层次信息交互的多目标粒子群优化算法

为提高多目标优化算法的收敛性和多样性,提出一种基于多层次信息交互的多目标粒子群优化算法.在该算法中,整个优化过程可分为标准粒子群优化层、粒子进化与学习层和档案信息交换层3个层次.粒子进化与学习层保证了每次迭代都能得到更好的粒子位置;档案信息交换层可以提供更好的全局最优.优化算法各个层次之间通过信息交互,共同提高算法的收敛性和多样性.与NSGA-Ⅱ和MOPSO算法的对比分析表明,所提出算法具有良好的性能,能够有效解决多目标优化问题.     

基于距离扩散的粒子群算法

粒子群算法是一种进化计算技术。文章提到的基于距离扩散的粒子群算法（JLSPSO）是在随机粒子群算法的进化过程中,嵌入确定性搜索方法以避免出现停止微粒,并且被每个微粒所共享的社会信息是随距离扩散,以便对微粒产生不同影响。经过这样改进后,JLSPSO既可以加快收敛速度,又可以保持群体多样性。通过对两个多峰的测试函数进行仿真,其结果表明：JLSPO算法不仅具有较快的收敛速度,而且能够更有效地进行全局搜索。     

Ensemble particle swarm optimizer

According to the “No Free Lunch (NFL)” theorem, there is no single optimization algorithm to solve every problem effectively and efficiently. Different algorithms possess capabilities for solving different types of optimization problems. It is difficult to predict the best algorithm for every optimization problem. However, the ensemble of different optimization algorithms could be a potential solution and more efficient than using one single algorithm for solving complex problems. Inspired by this, we propose an ensemble of different particle swarm optimization algorithms called the ensemble particle swarm optimizer (EPSO) to solve real-parameter optimization problems. In each generation, a self-adaptive scheme is employed to identify the top algorithms by learning from their previous experiences in generating promising solutions. Consequently, the best-performing algorithm can be determined adaptively for each generation and assigned to individuals in the population. The performance of the proposed ensemble particle swarm optimization algorithm is evaluated using the CEC2005 real-parameter optimization benchmark problems and compared with each individual algorithm and other state-of-the-art optimization algorithms to show the superiority of the proposed ensemble particle swarm optimization (EPSO) algorithm.     

求解整合资源条件下的运输调度问题

针对传统的物流运输调度问题(Vehicle Routing Problem,VRP)中车辆之间不协作会造成资源浪费的情况,提出整合资源条件下的运输调度问题(Vehicle Routing Problem with Integration of resources,VRPIR),建立了相应的数学模型。由于混沌具有良好的遍历性,而粒子群优化算法(Particle Swarm Optimization,PSO)具有概念简单,参数少,容易实现等优点,将混沌优化方法引入到粒子群优化算法中,应用混沌粒子群优化算法(Chaos Particle Swarm Algorithm,CPSO)求解VRPIR和VRP,并用CPSO和PSO分别求解VRPIR,实验结果证明该算法优于粒子群优化算法,也证明了提出的VRPIR模型优于VRP,能节省资源,且最小化成本。     

一类简约的粒子群算法

针对标准粒子群的早熟和局部粒子群的最优位置信息利用率低的问题,提出一类简约的粒子群算法,该算法包含两种改进的策略:初始阶段有区别的更新粒子速度,减少更新频率,当粒子的速度有利于种群的进化时,那么下一代粒子的速度则保持不变;当粒子位置变化不大时,采用基于正态分布的随机采样搜索策略来改变寻优方式,有效地控制种群多样性,避免了早熟现象的发生.仿真实验表明该算法具有更强的寻优能力和更高的稳定性.     

粒子群优化算法的收敛性分析及其混沌改进算法

分析了粒子群优化算法的收敛性,指出它在满足收敛性的前提下种群多样性趋于减小,粒子将会因速度降低而失去继续搜索可行解的能力;提出混沌粒子群优化算法,该算法在满足收敛性的条件下利用混沌特性提高种群的多样性和粒子搜索的遍历性,将混沌状态引入到优化变量使粒子获得持续搜索的能力.实验结果表明混沌粒子群优化算法是有效的,与粒子群优化算法、遗传算法、模拟退火相比,特别是针对高维、多模态函数优化问题取得了明显改善.     

Quadratic interpolation based orthogonal learning particle swarm optimization algorithm

Particle swarm optimization (PSO) is a population based algorithm for solving global optimization problems. Owing to its efficiency and simplicity, PSO has attracted many researchers’ attention and developed many variants. Orthogonal learning particle swarm optimization (OLPSO) is proposed as a new variant of PSO that relies on a new learning strategy called orthogonal learning strategy. The OLPSO differs in the utilization of the information of experience from the standard PSO, in which each particle utilizes its historical best experience and globally best experience through linear summation. In OLPSO, particles can fly in better directions by constructing an efficient exemplar through orthogonal experimental design. However, the global version based orthogonal learning PSO (OLPSO-G) still have some drawbacks in solving some complex multimodal function optimization. In this paper, we proposed a quadratic interpolation based OLPSO-G (QIOLPSO-G), in which, a quadratic interpolation based construction strategy for the personal historical best experience is applied. Meanwhile, opposition-based learning, and Gaussian mutation are also introduced into this paper to increase the diversity of the population and discourage the premature convergence. Experiments are conducted on 16 benchmark problems to validate the effectiveness of the QIOLPSO-G, and comparisons are made with four typical PSO algorithms. The results show that the introduction of the three strategies does enhance the effectiveness of the algorithm.     

Co-evolutionary particle swarm optimization to solve constrained optimization problems

This paper presents a co-evolutionary particle swarm optimization (CPSO) algorithm to solve global nonlinear optimization problems. A new co-evolutionary PSO (CPSO) is constructed. In the algorithm, a deterministic selection strategy is proposed to ensure the diversity of population. Meanwhile, based on the theory of extrapolation, the induction of evolving direction is enhanced by adding a co-evolutionary strategy, in which the particles make full use of the information each other by using gene-adjusting and adaptive focus-varied tuning operator. Infeasible degree selection mechanism is used to handle the constraints. A new selection criterion is adopted as tournament rules to select individuals. Also, the infeasible solution is properly accepted as the feasible solution based on a defined threshold of the infeasible degree. This diversity mechanism is helpful to guide the search direction towards the feasible region. Our approach was tested on six problems commonly used in the literature. The results obtained are repeatedly closer to the true optimum solution than the other techniques.     

一种基于可变多簇结构的动态概率粒子群优化算法

针对传统粒子群优化算法中全连接型拓扑和环形拓扑的特点,引入了一种粒子群信息共享方式——多簇结构,进而基于多簇结构提出了动态可变拓扑策略以协调动态概率粒子群优化算法的勘探和开采能力,并从理论上分析了最优信息在各种拓扑中的传播,同时从图论角度分析了几种经典拓扑以及动态可变多簇结构的统计特性.通过典型的Benchmark函数优化问题测试并比较了几种经典拓扑以及可变拓扑在高斯动态粒子群优化算法中的性能.实验结果表明,基于多簇结构的可变拓扑策略在求解复杂优化问题时优势明显,可以有效地避免算法陷入局部最优,在保证收敛速度的同时增强了算法的全局搜索能力.     

基于模式搜索法的云模型粒子群算法

针对粒子群算法在多峰寻优中易陷入局部最优、精度低、难以搜寻到较多的极值点等问题,提出一种基于模式搜索法的云模型粒子群算法.首先通过云模型粒子群算法在可行域内进行全局搜索,然后使用模式搜索法对搜索到的较优解进行局部寻优以提高解的精度.仿真测试表明,在保证收敛速度的同时,所提算法的收敛精度和搜索到的极值点数目均得到显著提高.     

基于CPSO的无线传感器网络路由优化

研究无线传感器网络路由优化问题,由于无线传感器节点的能量受到限制,通信过程能量损耗,影响网络的性能。传统粒子群算法难以获得最优网络路由方案。为延长网络生存时间,结合粒子群的快速性和混沌的遍历性优点,提出了一种混沌粒子群(CPSO)的无线网络路由优化方法。通过粒子群算法的自组织、动态寻优能力,并通过混沌机制对粒子群进行混沌扰动,增加多样性,加快最优路由优化速度,使网络最优路由和能量消耗间尽量平衡。仿真结果表明,相对于传统优化算法,CPSO提高了无线传感器网络路由优化速度,减少网络能量消耗,有效延长了网络生存时间,为提高整个网络通信效率提供了参考。     

基于动态维度交叉的粒子群高维函数优化

提出一种优化高维函数的改进粒子群算法.粒子群算法在高维函数优化方面精度比较低,种群容易陷入停滞,分析粒子群算法在针对高维函数方面难以优化的原因,提出一种基于动态维度交又的改进粒子群算法,通过对五个典型测试函数的仿真,说明该算法具有摆脱较快的收敛能力和较高的收敛精度.     

Multi-fault classification based on support vector machine trained by chaos particle swarm optimization

A novel method of training support vector machine (SVM) by using chaos particle swarm optimization (CPSO) is proposed. A multi-fault classification model based on the SVM trained by CPSO is established and applied to the fault diagnosis of rotating machines. The results show that the method of training SVM using CPSO is feasible, the proposed fault classification model outperforms the neural network trained by chaos particle swarm optimization and least squares support vector machine, the precision and reliability of the fault classification results can meet the requirement of practical application.