基于混沌搜索的粒子群优化算法

粒子群优化算法(PSO)是一种有效的随机全局优化技术。文章把混沌优化搜索技术引入到PSO算法中,提出了基于混沌搜索的粒子群优化算法。该算法保持了PSO算法结构简单的特点,改善了PSO算法的全局寻优能力,提高的算法的收敛速度和计算精度。仿真计算表明,该算法的性能优于基本PSO算法。     

Discrete optimum design of truss structures using artificial bee colony algorithm

Over the past few years, swarm intelligence based optimization techniques such as ant colony optimization and particle swarm optimization have received considerable attention from engineering researchers and practitioners. These algorithms have been used in the solution of various engineering problems. Recently, a relatively new swarm based optimization algorithm called the Artificial Bee Colony (ABC) algorithm has begun to attract interest from researchers to solve optimization problems. The aim of this study is to present an optimization algorithm based on the ABC algorithm for the discrete optimum design of truss structures. The ABC algorithm is a meta-heuristic optimization technique that mimics the process of food foraging of honeybees. Originally the ABC algorithm was developed for continuous function optimization problems. This paper describes the modifications made to the ABC algorithm in order to solve discrete optimization problems and to improve the algorithm’s performance. In order to demonstrate the effectiveness of the modified algorithm, four structural problems with up to 582 truss members and 29 design variables were solved and the results were compared with those obtained using other well-known meta-heuristic search techniques. The results demonstrate that the ABC algorithm is very effective and robust for the discrete optimization designs of truss structural problems.     

求解旅行商问题的混合粒子群优化算法

为高效解决旅行商问题,结合光学寻优算法、混沌优化算法、粒子群优化算法,提出了一种新的混合智能优化算法,应用光学寻优算法的优点,为粒子群中粒子找到了一组最优的初始值,引入交换子、交换序列、混沌序列,提出了适合旅行商问题的光学混沌粒子群算——并严格证明了新算法的稳定性、收敛性.数值实验仿真结果表明,该算法收敛速度快、迭代次数少,能快速找到令人满意的最优解,为解决旅行商问题提供了新的思路.     

混沌粒子群优化的纹理合成算法研究

粒子群算法在搜索后期由于搜索空间有限,容易陷入局部极值,过早地进入早熟状态。针对这种情况,将混沌优化搜索技术用于粒子群算法,利用混沌运动的通历性、随机性等特点,提出了一种混沌粒子群优化的块采样纹理合成算法。实验结果表明,混沌粒子群算法比粒子群算法具有更好的全局寻优能力,克服了粒子群算法的缺点,得到了较高质量的纹理合成图像。     

Sizing and layout design of truss structures under dynamic and static constraints with an integrated particle swarm optimization algorithm

Natural frequencies offer useful knowledge on the dynamic response of the structures. It is possible to avoid from the destructive effects of dynamic loads on the structures by optimizing layout and size of their subject to constraints on natural frequencies. Since optimization problems including frequency constraints are highly nonlinear, this kind of problems forms a challenging area to test the performance of the different optimization techniques. This study tests the performance of an integrated particle swarm optimization algorithm (iPSO), a new particle swarm optimizer integrated with the improved fly-back mechanism and the weighted particle concept, in four weight minimization of truss structures with sizing and layout variables under multiple frequency constraints. Optimization results demonstrate that the new algorithm is competitive with other state-of-the-art metaheuristic algorithms in dynamic and static structural optimization problems.     

无线传感器网络覆盖优化仿真研究

研究无线传感器覆盖(WSN)优化问题,由于网络传感器节点分布不均匀,又存在冗余等问题。传统WSN高密度部署方法,节点分布极不均匀,节点覆盖区域之间的重复率高,节点浪费严重,导致网络覆盖率低、成本高。为了提高无线传感器网络的覆盖率,提出一种混沌粒子群优化算法(CPSO)的WSN覆盖优化算法。首先以提高网络覆盖率为优化目标,建立WSN覆盖优化数学模型,然后通过粒子间协作进行求解,并对粒子群混沌扰动,保持粒子多样性,从而得到最优网络覆盖。仿真结果表明,相对于其它覆盖优化算法,CPSO能够以较少传感器节点获得较高网络覆盖率,提高了网络通信效率,降低网络成本。     

基于自适应参数与混沌搜索的PSO算法求解柔性作业车间调度问题

针对传统粒子群优化(PSO)算法在求解柔性作业车间调度问题中的不足,提出了基于自适应参数与混沌搜索的粒子群优化算法。对粒子群算法中的惯性系数等参数采用基于迭代搜索而自适应调整的方式,使粒子在初期以较大惯性进行大范围搜索,后期逐渐减小惯性而转入精细搜索。这种方法改变了传统粒子群算法在求解过程中的盲目随机与求解精度不高的问题;同时,通过在局部搜索过程中引入混沌技术,扩大对最优解的寻找范围,以此避免算法陷入局部最优,有效提高算法的全局寻优能力。实验结果表明,基于自适应参数与混沌搜索的粒子群优化算法在求解柔性作业车间调度问题(FJSP)时能够获得更优粒子适应度平均值及更好的优化目标。所提算法对求解柔性作业车间调度问题可行,有效。     

并行混沌粒子群优化研究及应用

粒子群优化算法（PSO）是进化计算领域中的一个新的分支,其源于鸟群和鱼群群体运动行为的研究.针对粒子群优化容易陷入局部极值点的问题,该文提出并行混沌粒子群算法,该算法保持了群体多样性从而避免了早熟,经过计算机仿真实验这是一种高效的优化算法.针对转炉提钒过程是一个多元非线性反应过程而难以建立终点控制模型的问题,提出了并行混沌粒子群RBF算法的方法建模.克服了RBF中心个数选择的随机性.试验表明,用该算法预测冷却剂加入量误差较小,具有工程实用性.     

A new PSO-based algorithm for multi-objective optimization with continuous and discrete design variables

This paper presents a new multi-objective optimization algorithm called FC-MOPSO for optimal design of engineering problems with a small number of function evaluations. The proposed algorithm expands the main idea of the single-objective particle swarm optimization (PSO) algorithm to deal with constrained and unconstrained multi-objective problems (MOPs). FC-MOPSO employs an effective procedure in selection of the leader for each particle to ensure both diversity and fast convergence. Fifteen benchmark problems with continuous design variables are used to validate the performance of the proposed algorithm. Finally, a modified version of FC-MOPSO is introduced for handling discrete optimization problems. Its performance is demonstrated by optimizing five space truss structures. It is shown that the FC-MOPSO can effectively find acceptable approximations of Pareto fronts for structural MOPs within very limited number of function evaluations.     

A heuristic particle swarm optimization method for truss structures with discrete variables

A heuristic particle swarm optimizer (HPSO) algorithm for truss structures with discrete variables is presented based on the standard particle swarm optimizer (PSO) and the harmony search (HS) scheme. The HPSO is tested on several truss structures with discrete variables and is compared with the PSO and the particle swarm optimizer with passive congregation (PSOPC), respectively. The results show that the HPSO is able to accelerate the convergence rate effectively and has the fastest convergence rate among these three algorithms. The research shows the proposed HPSO can be effectively used to solve optimization problems for steel structures with discrete variables.     

A multi-stage particle swarm for optimum design of truss structures

The contribution of this study is to propose a multi-stage particle swarm optimization (MSPSO) for structural optimization. In this paper, three auxiliary improving mechanisms are added to the standard particle swarm optimization (PSO) in order to enhance its efficiency and reliability dealing with optimum design of truss structures. These mechanisms effectively accelerate the convergence rate of the PSO and also make it robust to attain better optimum solutions during various runs of the algorithm. The effectiveness of the MSPSO is illustrated by several benchmark structural optimization problems. Results demonstrate the efficiency and robustness of the proposed MSPSO algorithm compared to the standard version of the PSO.     

一种混沌粒子群嵌入优化算法及其仿真

为克服混沌粒子群优化(CPSO)算法由于采用随机数作为算法参数而不能保证种群多样性和优化遍历性的缺陷,通过将混沌变量嵌入到常规粒子群优化算法(PSO)中,使PSO算法中的惯性权值和随机数用混沌随机序列来替代,提出了一种新的混沌粒子群嵌入优化算法(CEPSO),以充分利用混沌运动的随机性、遍历性克服粒子群优化算法容易陷入局部最优的缺点.通过复杂多维函数的寻优测试,验证了本算法的有效性,并将仿真结果与混沌粒子群优化算法进行比较,证明了CEPSO算法更具有较强的全局搜索能力和收敛速度.     

基于混沌策略状态转移算法的混沌系统参数辨识*

针对混沌系统的参数辨识是一个多维参数的优化问题,提出了基于混沌策略状态转移算法的混沌系统参数辨识方法。该方法是在初始化时以混沌序列初始化种群,在搜索过程中引入混沌变异机制,利用遍历性对状态进行变异操作,避免了过早收敛,提高了全局搜索能力。利用该算法辨识Lorenz混沌系统参数,并与基本状态转移算法和粒子群算法进行比较。仿真结果表明,在有无噪声干扰的情况下,该算法比粒子群算法和基本状态转移算法具有更好的辨识精度且比粒子群算法具有更好的收敛速度,证明了该算法的有效性和抗干扰性,对混沌理论的发展有重要的意义。     

基于自适应混沌变异粒子群算法的路径规划

研究了一种全新的基于自适应混沌变异粒子群的路径规划算法。该方法首先进行环境建模,利用改进的粒子群算法获得一条较优路径。在改进的粒子算法中为防止早收敛,加入自适应混沌变异操作,在加强算法局部搜索能力的同时保证搜索过程中种群的多样性。仿真实验表明,即使在复杂的环境下,利用该算法也可以规划出一条全局较优路径,且能安全避碰。     

基于分组混沌PSO算法的模糊神经网络建模研究

为改善记忆功放建模的精度,且针对粒子群算法早期收敛速度较快,但在后期易陷入早熟收敛,局部最优等特点,提出了一种分组并行混沌粒子群优化算法（Grouping Parallel-Chaotic Particle Swarm Optimization,GP-CPSO）,将分组粒子群优化算法与混沌思想相结合,并用该算法优化动态模糊神经网络（Dynamic Fuzzy Neural Network,DFNN）参数,建立DFNN功放模型。引入分组的CPSO群算法,将种群划分为若干个组,每组单独计算,大大提高了收敛速度,同时将混沌思想运用到每个粒子当中去,避免早熟和局部最优,缩短了迭代时间。通过仿真结果可以看到,GP-CPSO优化后的动态模糊神经网络建模的训练误差减小到0.1以内,收敛速度提高32.5%,从而验证了这种建模方法有效且可靠。     

A hybrid biogeography-based optimization algorithm for job shop scheduling problem

In this paper, a hybrid biogeography-based optimization (HBBO) algorithm has been proposed for the job-shop scheduling problem (JSP). Biogeography-based optimization (BBO) is a new bio-inpired computation method that is based on the science of biogeography. The BBO algorithm searches for the global optimum mainly through two main steps: migration and mutation. As JSP is one of the most difficult combinational optimization problems, the original BBO algorithm cannot handle it very well, especially for instances with larger size. The proposed HBBO algorithm combines the chaos theory and “searching around the optimum” strategy with the basic BBO, which makes it converge to global optimum solution faster and more stably. Series of comparative experiments with particle swarm optimization (PSO), basic BBO, the CPLEX and 14 other competitive algorithms are conducted, and the results show that our proposed HBBO algorithm outperforms the other state-of-the-art algorithms, such as genetic algorithm (GA), simulated annealing (SA), the PSO and the basic BBO.     

基于逻辑自映射的变尺度混沌粒子群优化算法*

针对基本粒子群优化算法的早熟收敛问题,提出了一种基于逻辑自映射的变尺度混沌粒子群优化算法。该算法在粒子群优化算法每次寻优结束时,采用逻辑自映射函数产生混沌序列,在已搜索到的精英粒子附近尝试搜索更优解并动态收缩搜索范围,在防止算法过早陷入局部最优的同时提高了算法搜索的精度。仿真结果表明,新算法在寻优成功率和平均最优值方面有很大提高,在求解包括欺骗性函数和高维函数在内的多种函数优化问题方面具有良好的效果。     

改进的变尺度混沌粒子群算法及其应用

针对粒子群算法(PSO)存在局部最优及后期收敛速度慢等问题,提出一种改进的变尺度混沌粒子群算法(IMCPSO).该算法初期,在整个解空间对最优粒子进行变尺度混沌扰动,以防止陷入局部最优;算法后期,则以最优粒子为中心引入变尺度混沌扰动,以提高算法收敛速度.当算法一旦陷入局部最优时,采用混沌粒子替代部分种群粒子以增加粒子多样性,使算法尽快跳出局部最优.基于benchmark测试函数的仿真结果表明,所提算法与基本粒子群算法(SPSO)和变尺度混沌粒子群算法(MCPSO)相比,具有明显好的搜索精度和收敛速度.最后,将该算法应用于电路故障诊断实验中的支持向量机参数优化问题,实验结果说明了其应用价值.     

A ground-structure-based representation with an element-removal algorithm for truss topology optimization

In this study, a new ground-structure-based representation for truss topology optimization is proposed. The proposed representation employs an algorithm that removes unwanted elements from trusses to obtain the final trusses. These unwanted elements include kinematically unstable elements and useless zero-force elements. Since the element-removal algorithm is used in the translation of representation codes into corresponding trusses, this results in more representation codes in the search space that are mapped into kinematically stable and efficient trusses. Since more representation codes in the search space represent stable and efficient trusses, the strategy increases meaningful competition among representation codes. This remapping strategy alleviates the problem of having large search spaces using ground structures, and encourages faster convergences. To test the effectiveness of the proposed representation, it is used with a simple multi-population particle swarm optimization algorithm to solve several truss topology optimization problems. It is found that the proposed representation can significantly improve the performance of the optimization process.     

混沌粒子群算法在矩阵秩RSSI算法中的研究

为了解决RSSI算法中矩阵的冗余度并且延长整个无线传感器网络的生命周期,在RSSI算法的基础上提出了一种基于矩阵秩的混沌粒子群的RSSI算法。由于无线传感器网络中的节点的内存和能源的有限性,故引入了混沌粒子寻优的算法和矩阵秩的概念来解决这方面缺陷,并通过迭代得到最佳节点坐标。仿真结果表明,基于矩阵秩的混沌粒子群的RSSI算法不仅具有良好的定位精度,并且节约了节点内存和能源。