具有混合群智能行为的萤火虫群优化算法研究

萤火虫群优化算法是一种新型的群智能优化算法,基本的萤火虫群优化算法存在收敛精度低等问题。为了提高算法的性能,借鉴蜂群和鸟群的群体智能行为,改进萤火虫群优化算法的移动策略。运用均匀设计调整改进算法的参数取值。若干经典测试问题的实验仿真结果表明,引入混合智能行为大幅提升了算法的优化性能。     

自适应中心引力优化算法

针对函数全局优化问题,提出了一种自适应中心引力算法,以平衡全局探测能力和局部搜索能力。首先定义粒子的适应值函数,然后根据与平均适应值的比较,更新粒子运动时间,并引进交叉操作更新当前粒子位置,从而提高算法的收敛速度。最后选择8个典型测试函数进行测试,并与中心引力优化算法和其他粒子群优化算法进行比较。结果表明,该算法得到的结果十分精确,鲁棒性强,优于其他算法。     

Galactic Swarm Optimization: A new global optimization metaheuristic inspired by galactic motion

This paper proposes a new global optimization metaheuristic called Galactic Swarm Optimization (GSO) inspired by the motion of stars, galaxies and superclusters of galaxies under the influence of gravity. GSO employs multiple cycles of exploration and exploitation phases to strike an optimal trade-off between exploration of new solutions and exploitation of existing solutions. In the explorative phase different subpopulations independently explore the search space and in the exploitative phase the best solutions of different subpopulations are considered as a superswarm and moved towards the best solutions found by the superswarm. In this paper subpopulations as well as the superswarm are updated using the PSO algorithm. However, the GSO approach is quite general and any population based optimization algorithm can be used instead of the PSO algorithm. Statistical test results indicate that the GSO algorithm proposed in this paper significantly outperforms 4 state-of-the-art PSO algorithms and 4 multiswarm PSO algorithms on an overwhelming majority of 15 benchmark optimization problems over 50 independent trials and up to 50 dimensions. Extensive simulation results show that the GSO algorithm proposed in this paper converges faster to a significantly more accurate solution on a wide variety of high dimensional and multimodal benchmark optimization problems.     

基于GMOGSO的多目标流水车间调度问题

针对缓冲区有限的多目标流水车间调度问题, 提出一种基于Pareto 最优的广义多目标萤火虫算法. 通过引入交换子和交换序将基本萤火虫算法离散化, 并将算法拓展为全局搜索过程和局部搜索过程. 进化初期采用全局搜索将种群推向较优区域, 进化中后期采用捕食搜索策略使算法主体在全局搜索和局部搜索间智能切换, 从而保证全局与局部的平衡. 动态变步长策略进一步增强了算法搜索能力. 通过算例测试验证了所提出算法的有效性.

     

新型群智能优化算法综述

传统群智能算法在解决复杂实际多目标优化问题中存在不足,近年来学者提出诸多新型群智能算法,适用性强,在求解复杂实际问题中取得了较好的实验效果。以算法提出时间为主线,对新型群智能算法中细菌觅食优化算法、混合蛙跳算法、人工蜂群算法、萤火虫算法、布谷鸟搜索、果蝇优化算法和头脑风暴优化算法的改进及应用进行分析和综述,并对群智能算法未来的研究发展方向进行了探讨。     

基于衰减因子和动态学习的改进樽海鞘群算法

樽海鞘群算法是一种新型的群智能优化算法.与其他智能优化算法相比,樽海鞘群算法的优化求解策略仍有待改进,以进一步提高该算法的求解精度和寻优效率.本文提出一种基于衰减因子和动态学习的改进樽海鞘群算法,通过在领导者更新阶段添加衰减因子,提高算法的局部开发能力,在跟随者更新阶段引入动态学习策略,提高算法的全局搜索能力.本文对16个测试函数进行实验,将提出的改进算法与其他智能优化算法比较,实验结果表明,本文提出的改进算法在收敛精度和收敛速度方面有较大提升,具有良好的优化性能.     

基于遗传粒子群算法的高维复杂函数优化方法

针对高维复杂函数优化的特点,提出了一种遗传算法与粒子群算法相结合的主-从结构算法。算法中,主级为全局搜索的遗传算法;从级为局部邻域搜索的粒子群算法。通过主-从协调机制和从级转换函数设计,使算法不依赖复杂的编码方式和进化算子进行全局精确搜索。通过仿真和比较实验,验证了算法对高维复杂函数优化的有效性。     

Communication latency tolerant parallel algorithm for particle swarm optimization

Particle swarm optimization (PSO) algorithm is a population-based algorithm for finding the optimal solution. Because of its simplicity in implementation and fewer adjustable parameters compared to the other global optimization algorithms, PSO is gaining attention in solving complex and large scale problems. However, PSO often requires long execution time to solve those problems. This paper proposes a parallel PSO algorithm, called delayed exchange parallelization, which improves performance of PSO on distributed environment by hiding communication latency efficiently. By overlapping communication with computation, the proposed algorithm extracts parallelism inherent in PSO. The performance of our proposed parallel PSO algorithm was evaluated using several applications. The results of evaluation showed that the proposed parallel algorithm drastically improved the performance of PSO, especially in high-latency network environment.     

改进的r支配高维多目标粒子群优化算法

高维多目标优化问题是广泛存在于实际应用中的复杂优化问题,目前的研究方法大都限于进化算法.本文利用粒子群优化算法求解高维多目标优化问题,提出了一种基于r支配的多目标粒子群优化算法.采用r支配关系进行粒子的比较与选择,并结合粒子群优化算法收敛速度快的优势,使得算法在目标个数增加时仍保持较强的搜索能力;为了弥补由此造成的群体多样性的丢失,优化非r支配阈值的取值策略;此外,引入决策空间的拥挤距离测度,并给出新的外部存储器更新方法,从而进一步防止算法陷入局部最优.对多个基准测试函数的仿真结果表明所得解集在收敛性、多样性以及围绕参考点的分布性上均优于其他两种算法.     

综合密度信息的矢量变异多目标粒子群优化

粒子群优化算法求解多目标优化问题存在早熟收敛和后期收敛速性差的不足,解的分布性也有待提高。为此设计一种新的多目标粒子群优化算法：对寻求粒子最优解的sigma方法进行改进,提出一种综合非支配解密度信息和sigma值的最优解求解机制。对变异粒子速度进行矢量扰动变异;对停滞粒子进行位置变异,有效避免算法的早熟收敛问题。测试结果表明,所提出的算法在收敛性和解的分布性、多样性方面较经典的算法具有明显的优势。     

粒子群优化算法的变形

分析了粒子群算法的惯性部分、个体认知部分和群体认知部分的作用,对粒子群算法迭代方程的各部分进行变形,获得了三种新形式的粒子群算法。用算例说明所得到的三个新的粒子群算法具有较好的优化能力。     

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.     

Sequential approximation optimization assisted particle swarm optimization for expensive problems

In this paper, an efficient sequential approximation optimization assisted particle swarm optimization algorithm is proposed for optimization of expensive problems. This algorithm makes a good balance between the search ability of particle swarm optimization and sequential approximation optimization. Specifically, the proposed algorithm uses the optima obtained by sequential approximation optimization in local regions to replace the personal historical best particles and then runs the basic particle swarm optimization procedures. Compared with particle swarm optimization, the proposed algorithm is more efficient because the optima provided by sequential approximation optimization can direct swarm particles to search in a more accurate way. In addition, a space partition strategy is proposed to constraint sequential approximation optimization in local regions. This strategy can enhance the swarm diversity and prevent the preconvergence of the proposed algorithm. In order to validate the proposed algorithm, a lot of numerical benchmark problems are tested. An overall comparison between the proposed algorithm and several other optimization algorithms has been made. Finally, the proposed algorithm is applied to an optimal design of bearings in an all-direction propeller. The results show that the proposed algorithm is efficient and promising for optimization of the expensive problems.     

A hybrid algorithm combining glowworm swarm optimization and complete 2-opt algorithm for spherical travelling salesman problems

The Travelling Salesman Problem (TSP) is one of the most well-known combinatorial optimization problems and has attracted a lot of interests from researchers. Many studies have proposed various methods for solving the two-dimensional TSP. In this study, we extend the two-dimensional TSP to the three-dimensional TSP, namely the spherical TSP in which all points (cities) and paths (solutions) are on the surface of a sphere. A hybrid algorithm based on the glowworm swarm optimization (GSO) and the complete 2-opt algorithm is proposed, in which the carriers of the luciferin are transformed from glowworms to edges between cities, and the probabilistic formula and the luciferin updating formula are modified. In addition, the complete 2-opt algorithm is performed to optimize the selected optimal routes every few iterations. Numerical experimental results show that the proposed algorithm has a better performance than the basic GSO in solving the spherical TSP. Meanwhile, the complete 2-opt algorithm can speed up the convergence rate.     

Garra Rufa-inspired optimization technique

Natural selection has inspired researchers to develop and apply several intelligent optimization techniques in the past few decades. Generally, in artificial intelligence optimization, the particles follow a local or global best particle until finding an acceptable solution. In well- developed optimization techniques, such as swarm optimization (PSO) and the firefly algorithm (FA), getting around the initial optimal value of the group and randomly checking the effect of the surrounding points may lead to a better solution than the initial optimal value. The present work was inspired by the fascinating movement of Garra Rufa fish between two immersed legs during a regular “fish massage session.” A new optimization approach is proposed and modeled based on the movements of Garra Rufa fish, in which the particles are separated into groups, and the best optimal value leads each group for the group. Also, some of these particles are allowed to change groups depending on the fitness of the leaders of the groups. The suggested strategy is then compared with PSO and FA using multiple test optimization functions, such as the Ackley, Hartmann, Michalewicz, Shubert, Easom, Bohachevsky, and Rastrigin functions. Also, a multiobjective real issue in power system is tested using the proposed methods where the objectives were cumulative voltage deviation and power losses of three weight sets during the selection allocation of distribution generators. The results show that the proposed method provides good data and greater convergence to the optimal point compared with the classical methods for most of the functions tested.     

基于随机惯性权重的简化粒子群优化算法

针对标准粒子群优化算法易出现早熟收敛、搜索速度慢及寻优精度低等缺陷, 提出一种基于随机惯性权重的简化粒子群优化算法。算法采用去除速度项的粒子群简化结构, 通过随机分布的方式获取惯性权重提高新算法的局部搜索和全局搜索能力, 并且学习因子采用异步变化的策略来改善粒子的学习能力。考虑到个体之间的相互影响关系, 每个粒子的个体极值用所有粒子个体极值的平均值代替。通过几个典型测试函数仿真及F-检验结果表明, 提出的算法在搜索速度、收敛精度、鲁棒性方面较已有改进算法有了显著提高, 并且具有摆脱陷入局部最优解的能力。     

引入人工蜂群搜索算子的粒子群算法

针对标准粒子群算法易出现早熟现象和收敛速度慢等问题,提出一种引入人工蜂群搜索算子的粒子群算法.首先利用人工蜂群搜索算子很强的探索能力,对粒子搜索到的历史最优位置进行搜索以帮助算法快速跳出局部最优点;然后,为了提高算法的全局收敛速度,提出一种基于混沌和反学习的初始化方法.通过12个标准测试函数的仿真实验并与其他算法相比较,所得结果表明所提出的算法具有较快的收敛速度和很强的跳出局部最优的能力.     

Global Simplex Optimization—A simple and efficient metaheuristic for continuous optimization

A new hybrid optimization algorithm is proposed for minimization of continuous multi-modal functions. The algorithm called Global Simplex Optimization (GSO) is a population set based Evolutionary Algorithm (EA) incorporating a special multi-stage, stochastic and weighted version of the reflection operator of the classical simplex method. An optional mutation operator has also been tested and then removed from the structure of the final algorithm in favor of simplicity and because of insignificant effect on performance. The promising performance achieved by GSO is demonstrated by comparisons made to some other state-of-the-art global optimization algorithms over a set of conventional benchmark problems.     

鲸鱼优化算法研究综述

鲸鱼优化算法是一种受座头鲸的狩猎行为启发所提出的新型群体智能优化算法,其性能远超传统算法。为了跟踪最新研究成果、促进群体智能优化算法领域的研究,首先介绍了鲸鱼优化算法的基本原理,简述了其实现步骤,并对比分析了其性能特点。针对其收敛速度慢、收敛精度低等缺点,总结分析了融入其他智能优化算法、Lévy飞行策略、混沌策略等改进方式及其优势与局限;接着阐述了其在组合优化、图像分割、数据预测等方面的应用及取得的效果。最后,对未来发展趋势进行总结与展望。     

基于改进的萤火虫优化算法的混合语音盲分离

针对传统盲源分离优化算法对分离性能影响较大的局限性,提出了一种基于改进的萤火虫优化的混合语音盲分离算法。将萤火虫的飞行跨度由固定取值变为由新构造的函数自适应调整,在加快收敛速度的同时避免算法早熟现象的发生。实验结果表明,与基于自然梯度、标准萤火虫和粒子群优化的盲分离算法相比,新算法对混合语音信号的分离效果较好,在收敛速度和分离能力方面都有所提升。