差分进化混合粒子群算法求解项目调度问题*

针对求解资源受限项目调度问题（RCPSP）,提出了基于差分进化（DE）的混合粒子群算法（PSODE）。通过在PSO种群和DE种群之间建立一种信息交流机制,使信息能够在两个种群中传递,以避免个体因错误的信息判断而陷入局部最优点。采用标准测试函数和具体算例进行检验,结果表明PSODE算法可以较好地解决RCPS问题。     

A hybrid particle swarm optimization algorithm for high-dimensional problems

In recent years, particle swarm optimization (PSO) emerges as a new optimization scheme that has attracted substantial research interest due to its simplicity and efficiency. However, when applied to high-dimensional problems, PSO suffers from premature convergence problem which results in a low optimization precision or even failure. To remedy this fault, this paper proposes a novel memetic PSO (CGPSO) algorithm which combines the canonical PSO with a Chaotic and Gaussian local search procedure. In the initial evolution phase, CGPSO explores a wide search space that helps avoid premature convergence through Chaotic local search. Then in the following run phase, CGPSO refines the solutions through Gaussian optimization. To evaluate the effectiveness and efficiency of the CGPSO algorithm, thirteen high dimensional non-linear scalable benchmark functions were examined. Results show that, compared to the standard PSO, CGPSO is more effective, faster to converge, and less sensitive to the function dimensions. The CGPSO was also compared with two PSO variants, CPSO-H, DMS-L-PSO, and two memetic optimizers, DEachSPX and MA-S2. CGPSO is able to generate a better, or at least comparable, performance in terms of optimization accuracy. So it can be safely concluded that the proposed CGPSO is an efficient optimization scheme for solving high-dimensional problems.     

基于差分进化和粒子群优化算法的混合优化算法

为了发挥差分进化和粒子群优化算法各自拥有的特点,并克服自身存在的问题,提出了一种混合优化算法(简称DPA).该算法首先利用差分进化的变异和选择算子产生新的群体,然后通过使用粒子群优化算法和交叉、选择算子进行局部搜索.在整个算法过程中,群体寻优范围先扩散再收缩,反复迭代渐进收敛.通过3个标准算例的测试表明,新的混合优化算法与差分进化和粒子群优化算法相比,具有收敛速度快、搜索能力强、鲁棒性好的特点.     

A hybrid particle swarm optimization based algorithm for high school timetabling problems

In this contribution a hybrid particle swarm optimization (PSO) based algorithm is applied to high school timetabling problems. The proposed PSO based algorithm is used for creating feasible and efficient high school timetables. In order to demonstrate the efficiency of the proposed PSO based algorithm, experiments with real-world input data coming from many different Greek high schools have been conducted. Computational results show that the proposed hybrid PSO based algorithm performs better than existing approaches applied to the same school timetabling input instances using the same evaluation criteria.     

一种新的差分与粒子群算法的混合算法

利用粒子群算法的快速收敛性和差分进化算法的搜索精度较高等特点,提出了一种新的混合优化算法。该算法在粒子群算法的中后期,在已经寻找到的最优位置周围,随机生成一定数量的粒子进行差分进化算法,可以减少一定的运算量和在较优的区域进行寻找最优解。通过几个Benchmark函数的测试证明,新的混合算法具有搜索精度更高和更快收敛的优点。     

量子粒子群算法在电力系统经济调度中的应用

量子粒子群算法以粒子群算法为基础,加入了量子波动理论,具有较好的全局收敛性.通过对电力系统经济调度问题中高维数、非线性、多约束等特点进行分析,运用具有量子行为的粒子群优化算法来解决电力系统经济调度问题,经过多组算例的测试:在满足电力系统各种约束的前提下,证明了新方法有效可行,能取得较好的收敛结果和鲁棒性.     

全信息差异进化粒子群优化算法

针对种群多样性对粒子群算法的性能影响,提出了一种基于差异进化思想的粒子群算法。该算法采用多生态子群社会结构,利用一种新的全信息粒子作为信息交互的渠道,通过进化过程中的种群衰落监控指导子群间的差异融合,有利于优秀个体的产生,增加粒子间的差异性,提高种群整体品质和算法的收敛性能。最后对八个测试函数进行实验仿真,并与六个改进粒子群算法进行多方面对比。实验结果表明,该算法有效地保持了种群的多样性,在保证收敛速度的同时大幅提高了算法的收敛精度,从理论和实验仿真两个方面证明了算法有很强的全局搜索能力。     

Particle swarm optimization with crazy particles for nonconvex economic dispatch

The paper presents an effective evolutionary method for economic power dispatch. The idea is to allocate power demand to the on-line power generators in such a manner that the cost of operation is minimized. Conventional methods assume quadratic or piecewise quadratic cost curves of power generators but modern generating units have non-linearities which make this assumption inaccurate. Evolutionary optimization methods such as genetic algorithms (GA) and particle swarm optimization (PSO) are free from convexity assumptions and succeed in achieving near global solutions due to their excellent parallel search capability. But these methods usually tend to converge prematurely to a local minimum solution, particularly when the search space is irregular. To tackle this problem “crazy particles” are introduced and their velocities are randomized to maintain momentum in the search and avoid saturation. The performance of the PSO with crazy particles has been tested on two model test systems, compared with GA and classical PSO and found to be superior.     

基于分解和差分进化的多目标粒子群优化算法

为了提高多目标优化算法解集的分布性和收敛性,提出一种基于分解和差分进化的多目标粒子群优化算法(dMOPSO-DE).该算法通过提出方向角产生一组均匀的方向向量,确保粒子分布的均匀性;引入隐式精英保持策略和差分进化修正机制选择全局最优粒子,避免种群陷入局部最优Pareto前沿;采用粒子重置策略保证群体的多样性.与非支配排序(NSGA-II)算法、多目标粒子群优化(MOPSO)算法、分解多目标粒子群优化(dMOPSO)算法和分解多目标进化-差分进化(MOEA/D-DE)算法进行比较,实验结果表明,所提出算法在求解多目标优化问题时具有良好的收敛性和多样性.     

A hybrid algorithm based on particle swarm and chemical reaction optimization for multi-object problems

Over the past decade, the particle swarm optimization (PSO) has been an effective algorithm for solving single and multi-object optimization problems. Recently, the chemical reaction optimization (CRO) algorithm is emerging as a new algorithm used to efficiently solve single-object optimization.In this paper, we present HP-CRO (hybrid of PSO and CRO) a new hybrid algorithm for multi-object optimization. This algorithm has features of CRO and PSO, HP-CRO creates new molecules (particles) not only used by CRO operations as found in CRO algorithm but also by mechanisms of PSO. The balancing of CRO and PSO operators shows that the method can be used to avoid premature convergence and explore more in the search space.This paper proposes a model with modified CRO operators and also adding new saving molecules into the external population to increase the diversity. The experimental results of the HP-CRO algorithm compared to some meta-heuristics algorithms such as FMOPSO, MOPSO, NSGAII and SPEA2 show that there is improved efficiency of the HP-CRO algorithm for solving multi-object optimization problems.     

电力系统经济负荷分配的混合粒子群优化算法

为解决电力系统中的经济负荷分配问题,提出一种将约束优化与粒子群优化算法相结合的混合算法,同时引入直接搜索方法。使得混合后的粒子群优化算法不但具有高效的全局搜索能力,而且具有较强的局部搜索能力,避免陷入局部最优,提高求解精度。对两个实例进行测试,与其他智能算法的结果比较,证明提出的算法可以有效找到可行解,避免陷入局部最优,实现问题的快速求解。     

求解电力系统经济调度问题的改进粒子群优化算法

电力系统经济调度问题是电力系统中的一个重要的研究课题,针对该问题,提出一种改进粒子群优化(ODPSO)算法.改进算法在搜索前期,采用广义的反向学习策略,使算法能够快速地靠近较优的搜索区域,从而提高收敛速度;在搜索后期,借鉴差分进化算法的进化机制设计改进的变异和交叉策略,对当前种群的最优粒子进行更新,从而提高种群的多样性,进而协助算法获得全局最优解.为了验证改进粒子群优化算法的有效性,对CEC2006提出的22个基准约束测试函数进行仿真,结果表明改进算法相比其他算法在寻优精度和稳定性上更具优势.最后,将改进算法应用于考虑机组爬坡速率约束、机组禁行区域约束以及电力平衡约束的两个电力系统经济调度问题,取得了令人满意的结果.     

A particle swarm optimization based memetic algorithm for dynamic optimization problems

Recently, there has been an increasing concern from the evolutionary computation community on dynamic optimization problems since many real-world optimization problems are dynamic. This paper investigates a particle swarm optimization (PSO) based memetic algorithm that hybridizes PSO with a local search technique for dynamic optimization problems. Within the framework of the proposed algorithm, a local version of PSO with a ring-shape topology structure is used as the global search operator and a fuzzy cognition local search method is proposed as the local search technique. In addition, a self-organized random immigrants scheme is extended into our proposed algorithm in order to further enhance its exploration capacity for new peaks in the search space. Experimental study over the moving peaks benchmark problem shows that the proposed PSO-based memetic algorithm is robust and adaptable in dynamic environments.     

An adaptive hybrid optimizer based on particle swarm and differential evolution for global optimization

This paper presents extensive experiments on a hybrid optimization algorithm (DEPSO) we recently developed by combining the advantages of two powerful population-based metaheuristics—differential evolution (DE) and particle swarm optimization (PSO). The hybrid optimizer achieves on-the-fly adaptation of evolution methods for individuals in a statistical learning way. Two primary parameters for the novel algorithm including its learning period and population size are empirically analyzed. The dynamics of the...     

协同混合粒子群算法求解车间作业调度问题

针对如何有效解决车间作业优化调度问题,提出一种协同粒子群和引力搜索的混合算法。新算法在粒子群算法进化停滞时引入引力搜索算法,利用引力搜索算法进化后期快速寻优的能力,及时跳出局部最优,保证全局最优。同时采用协同原理简化算法结构,提高算法收敛速度。将提出算法对车间作业调度典型测试用例进行仿真,仿真结果表明该算法较PSO和GA等算法在求解车间作业调度问题上更具优越性。     

Hybrid differential evolution with biogeography-based optimization algorithm for solution of economic emission load dispatch problems

This paper presents combination of differential evolution (DE) and biogeography-based optimization (BBO) algorithm to solve complex economic emission load dispatch (EELD) problems of thermal generators of power systems. Emission substances like NO_X, SO_X, CO_X, Power demand equality constraint and operating limit constraint are considered here. Differential evolution (DE) is one of the very fast and robust, accurate evolutionary algorithms for global optimization and solution of EELD problems. Biogeography-based optimization (BBO) is another new biogeography inspired algorithm. Biogeography deals with the geographical distribution of different biological species. This algorithm searches for the global optimum mainly through two steps: migration and mutation. In this paper combination of DE and BBO (DE/BBO) is proposed to accelerate the convergence speed of both the algorithm and to improve solution quality. To show the advantages of the proposed algorithm, it has been applied for solving multi-objective EELD problems in a 3-generator system with NO_X and SO_X emission, in a 6-generators system considering NO_X emission, in a 6-generator system addressing both valve-point loading and NO_X emission. The current proposal is found better in terms of quality of the compromising and individual solution obtained.     

混合粒子群和差分进化的定位算法

针对由测量误差造成的无线传感器网络定位精度不高的问题,提出一种混合粒子群和差分进化的节点定位算法（HPSO-DE）。首先,对粒子群算法的惯性权重进行自适应更新,使得每个个体随着迭代次数的增加而增大,进而提高其全局探索能力,然后改进差分进化算法的变异策略,从而提高该算法的局部寻优能力,之后将个体先经过改进的粒子群算法优化,低于平均适应度值的个体继续通过改进的差分进化算法优化,从而得到HPSO-DE算法。HPSO-DE算法继承了二者的优点,提高了该算法的最优解精度和收敛速度。最后在无线传感器网络节点定位模型中应用HPSO-DE算法,仿真结果表明,所提HPSO-DE算法在测距误差为30%时,定位误差比PSO和DFOA分别少2.1m和1.1m,具有更高的定位精度和更强的抗误差性能。     

基于混合粒子群优化算法的聚类分析

针对模糊C-均值聚类算法易陷入局部最优和算法收敛速度慢等问题,提出了一种新的基于混合粒子群优化的模糊C-均值聚类算法.新算法在基本粒子群优化的模糊C-均值聚类算法的基础上结合了遗传算法的交叉、变异算子及混沌优化算法,并引入逃逸算子.仿真结果表明,该算法有效地避免了通常聚类方法易出现的早熟现象,同时也具有较快的收敛速度和较高的准确度.     

基于混合微粒群算法的说话人识别

为了解决传统高斯混合模型(GMM)对初值敏感,在实际训练中极易得到局部最优参数的问题,提出了一种采用微粒群算法优化GMM参数的新方法。该方法将最大似然估计融入到微粒群算法迭代过程中,形成了新的混合算法。它利用微粒群算法的全局优化性及最大似然估计的局部寻优性求解高斯混合模型的参数,以提高参数精度。说话人辨认实验表明,与传统的方法相比,新方法可以得到更优的模型参数,使得系统的识别率进一步提高。     

A hybrid non-linear time-varying double-weighted particle swarm optimization for solving non-convex combined environmental economic dispatch problem

Fossil-fuel based power sources cause environmental pollution such as the degradation of air quality and climate change, which negatively impacts the life on the earth. Consequently, this demands that the power generation should consider the optimal management of thermal sources that are aimed at minimizing the emission of gasses in the generation mix. The production volume of multi-pollutant gasses (SO₂, NO_x, and CO₂) can be reduced through a combined environmental economic dispatch (CEED) approach. This study has proposed a hybrid algorithm based on a novel combination of a modified genetic algorithm and an improved version of particle swarm optimization abbreviated as MGAIPSO to solve CEED problem. The study utilizes three robust operators to enhance the performance of the proposed hybrid algorithm. In GA, a uniformly weighted arithmetic crossover and a normally distributed mutation operator have been implemented to produce elite off-springs in each iteration and diversify the solutions in the search space. In the case of PSO, a non-linear time-varying double-weighted (NLTVDW) technique is developed to obtain a substantial balance between exploration and exploitation. To further enhance the exploitation ability of the MGAIPSO, this study has implemented two movements correctional methods to continuously monitor and amend the position and velocity of the particles. Several numerical case studies ranging from small to large-scale are carried out to validate the practicality of the proposed algorithm.