基于正余弦优化算子和Levy飞行机制的和声搜索算法

针对基本和声搜索（Harmony search, HS）算法收敛速度较慢、易陷入局部最优和计算精度不高的缺点,结合正余弦优化算子、Levy飞行机制和参数动态调整策略,提出一种改进的和声搜索算法。该算法在即兴创作阶段,首先引入正余弦优化算子和微调带宽相结合的方式对和声向量进行微调操作,充分利用最优个体和当前个体的位置信息,提高算法的计算精度和收敛速度;再采用Levy飞行机制对微调带宽进行更新,避免算法陷入局部最优,提高全局搜索能力;在算法迭代过程中,对和声记忆库存储概率、基音微调概率和搜索域进行自适应动态调整,以进一步提高算法收敛性能。在10个基准函数上进行性能对比试验的结果表明,本文提出的算法具有较强的全局搜索能力,较快的收敛速度和较高的计算精度。     

改进的遗传和声算法及其在车辆路径中的应用

引入和声搜索算法解决车辆路径(VRP)问题,并针对基本和声算法对于初始记忆库依赖性强的缺点,提出了改进的遗传和声搜索算法;新算法利用遗传算法初始化和声记忆库,同时应用均匀设计方法设定算法参数HMS、HMCR、PAR、bw、NI、种群规模、交叉概率、变异概率及迭代次数,以解决参数选取的随机性和不确定性问题;通过对车辆配送过程的分析,将改进算法应用于所建立的车辆配送路径优化模型中进行求解;实验结果表明,改进的遗传和声算法在一定程度上可以避免原算法对初始记忆库依赖性强局限性,提高了求解VRP优化问题的效率和准确性.     

和声搜索算法研究进展

和声搜索算法是一种新兴的智能优化算法,通过反复调整记忆库中的解变量,使函数值随着迭代次数的增加不断收敛,从而来完成优化。算法概念简单、可调参数少、容易实现。研究了和声搜索算法的起源,基本思想;给出了和声搜索算法的步骤和基本流程,并分析了记忆库取值概率和微调概率对算法的影响。比较了和声搜索算法与遗传算法的差异,给出了和声搜索算法的应用前景和研究趋势。     

基于混合和声搜索算法求解竞争选址问题

针对竞争选址问题,提出一种新的混合和声搜索算法。混合和声搜索算法初始化和声记忆库时结合了贪婪算法,降低了初始解的不可行性概率。在寻优过程中,引入了鱼群算法的觅食行为,提高了算法跳出局部最优解的能力和收敛速度。即兴产生一个新的和声时,充分考虑了当前最优解的指导作用,提出了新的基因调整方法,增强了算法的探索能力。在竞争选址问题上对所提出的算法进行了测试,仿真结果验证了所提出算法的有效性。     

一种新的智能优化及其改进研究

研究了一种新的进化算法-和声搜索(HS)算法,针对其在处理复杂函数优化问题时容易陷入局部最优、收敛精度低的缺点,提出一种改进的和声搜索算法,算法在保留和声搜索的搜索机理的同时,把混合蛙跳算法中的局部搜索策略引入其中,维持了和声库的多样性,从而提高了对复杂问题的搜索效率.与同类算法相比,本文提出的和声搜索算法全局搜索能力强,收敛速度快,数值实验结果验证了算法的有效性和鲁棒性.     

基于圆形信赖域的改进和声搜索算法

针对标准和声搜索(HS)算法易陷入局部最优、收敛精度不高的不足,提出了一种基于圆形信赖域(CTR)的新型和声搜索算法--CTRHS。该算法运用逐双音调一次性产生方式,在记忆思考环节交互式地采取面向圆形信赖域的集约化思考操作,在双音调微调环节利用当前和声记忆库中的最好或最差和声来确定微调带宽,并且以新生成和声直接替换当前和声记忆库中最差和声来实现和声记忆库的更新。通过在9种标准测试函数上对CTRHS算法进行实验验证和算法性能对比,结果表明CTRHS算法在解质量、收敛性能上优于文献中已报道的7种HS改进算法,且当和声记忆库规模(HMS)、和声记忆库思考率(HMCR)分别取5和0.99时,它能表现出更佳的全局优化性能。     

随机交叉全局和声搜索算法

针对和声搜索算法易陷入局部最优的不足,提出了一种随机交叉全局和声搜索（RCGHS）算法。通过最差和声向最优和声学习提高算法的全局搜索性能,引入其他和声向最优和声学习的交互策略提高算法的局部搜索性能。将两种学习策略随机交叉动态产生新和声,平衡算法的全局搜索和局部搜索性能。在和声记忆库更新阶段,利用即兴创作产生的和声向量与随机反向学习产生的和声向量中较优的个体更新和声记忆库。将RCGHS算法与目前文献中较优的几种改进HS算法、ABC算法、PSO算法和GWO算法进行性能测试,测试结果表明RCGHS算法具有较高的寻优精度和较快的收敛速度。     

自适应和声粒子群搜索算法

针对现有改进和声搜索算法(IHS)的不足,提出一种自适应和声粒子群搜索算法(AHSPSO).首先对和声记忆库中每个变量用粒子群算法寻优,再利用自适应参数PAR和bw调节来提高对多维问题的搜索效率.利用5个标准的优化算法测试函数对AHSPSO算法进行测试,并与IHS,PSO和SA算法进行对比,仿真结果表明了AHSPSO算法具有较强的精确寻优和跳出局部最优的能力.     

基于反向计算和高斯分布估计的动态自适应和声搜索算法

为了增强和声搜索算法在求解高维多模态问题时的空间全局探索能力和求解精度,通过定义的4种反向计算方法和高斯分布估计算法,提出一种动态自适应高维和声搜索算法.该算法采用正交试验初始化和声记忆库;利用多维动态自适应算法进行和声创作;采用动态反向选择算法更新和声记忆库,并改进和声音调微调调解步长,从而增强算法的空间探索能力,避免陷入局部搜索.通过6个标准的高维Benchmark函数测试表明,本文算法在全局搜索能力、收敛速度和求解精度等方面都有明显改进.     

动态调整策略改进的和声搜索算法

为了得到高维复杂问题的全局高精度最优解,提出一种动态调整策略,并用该策略改进和声搜索算法。算法选取和声记忆库中最差和声向量作为优化调整目标,随着迭代的进行,逐步降低决策变量的调整概率,该方法能够使得算法在全局探索能力和局部高精度开发能力之间实现平衡,有效提高了新和声更新最差和声的成功率。通过6个高维Benchmark测试函数的仿真结果表明,提出的动态调整策略能够有效提高和声搜索算法求解高维复杂优化问题的能力。     

求解大规模系统可靠性问题的修正和声搜索算法

针对大规模系统可靠性问题, 提出一种修正和声搜索(MHS) 算法. 该算法修改了和声搜索(HS) 算法的搜索机制, 以当前最优解为研究对象, 随机选取不同维数进行即兴创作, 并修正步长(BW) 的调整方式, 均衡算法的全局搜索和局部搜索. 对经典的大规模系统可靠性问题进行求解, 数值结果表明, 所提出算法优于其他文献中的6 种和声搜索算法. 与最近提出的求解此类问题的各种算法进行实验对比, 实验结果表明所提出算法在整体上具有良好的优化性能.

     

Stable fuzzy controller design employing group improvisation based harmony search algorithm

The present paper proposes a group improvisation based variant of harmony search (HS) algorithm, for solving optimization problems, conceptualizing the mutual cooperation of philharmonic orchestra. The proposed conception of meta-heuristic optimization is aimed to bring the effects of local neighborhood topological model (lbest model) to the HS algorithm as found, particularly, in swarm based optimizations. This variant of HS employs a novel cooperative method for generating new solution vectors that enhances the accuracy and convergence rate of harmony search (HS) algorithm. The proposed variant of HS algorithm has been successfully applied to design stable fuzzy controllers, optimizing both its structures and free parameters, so that the designed controller can guarantee desired stability and simultaneously it can provide satisfactory performance with a high degree of automation in the design process. The variant and the original HS algorithm are implemented for two nonlinear benchmark systems in simulation case study and their results demonstrate that the proposed variant outperforms the original HS algorithm.     

An efficient modified harmony search algorithm with intersect mutation operator and cellular local search for continuous function optimization problems

This paper proposes a modified harmony search (MHS) algorithm with an intersect mutation operator and cellular local search for continuous function optimization problems. Instead of focusing on the intelligent tuning of the parameters during the searching process, the MHS algorithm divides all harmonies in harmony memory into a better part and a worse part according to their fitness. The novel intersect mutation operation has been developed to generate new -harmony vectors. Furthermore, a cellular local search also has been developed in MHS, that helps to improve the optimization performance by exploring a huge search space in the early run phase to avoid premature, and exploiting a small region in the later run phase to refine the final solutions. To obtain better parameter settings for the proposed MHS algorithm, the impacts of the parameters are analyzed by an orthogonal test and a range analysis method. Finally, two sets of famous benchmark functions have been used to test and evaluate the performance of the proposed MHS algorithm. Functions in these benchmark sets have different characteristics so they can give a comprehensive evaluation on the performance of MHS. The experimental results show that the proposed algorithm not only performs better than those state-of-the-art HS variants but is also competitive with other famous meta-heuristic algorithms in terms of the solution accuracy and efficiency.     

全局和声搜索方法及其在仿人灵巧臂逆运动学求解中的应用

仿人灵巧臂逆运动学(IK)问题可转化为等效的最小化问题,并采用数值优化方法求解.和声搜索(HS)是模拟乐师在音乐演奏中调整音调现象的一种启发式搜索方法,目前还尚未在机器人机械臂逆运动学问题中得到应用.本文提出一种基于粒子群体智能的全局和声搜索方法(GHSA),该方法在和声搜索算法中引入微粒群操作(PSO),采用粒子群策略替代常规和声搜索算法中的搜索法则创作新和声,通过粒子自身认知和群体知识更新和声变量位置信息平衡算法对解空间全局探索与局部开发间能力;同时算法还引入变异操作增强算法跳出局部最优解能力,基准函数测试表明该方法改善了全局搜索能力及求解可靠性.在此基础上以七自由度(7-DOF)冗余仿人灵巧臂为例,考虑以灵巧臂末端位姿误差和“舒适度”指标构建适应度函数并采用GHSA算法求解其逆运动学(IK)问题,数值仿真结果表明了该方法是解决仿人灵巧臂逆运动学问题的一种有效方法.     

A two‐phase harmony search algorithm for continuous optimization

Harmony search (HS) algorithm is inspired by the music improvisation process in which a musician searches for the best harmony and continues to polish the harmony to improve its aesthetics. The efficiency of evolutionary algorithms depends on the extent of balance between diversification and intensification during the course of the search. An ideal evolutionary algorithm must have efficient exploration in the beginning and enhanced exploitation toward the end. In this paper, a two‐phase harmony search (TPHS) algorithm is proposed that attempts to strike a balance between exploration and exploitation by concentrating on diversification in the first phase using catastrophic mutation and then switches to intensification using local search in the second phase. The performance of TPHS is analyzed and compared with 4 state‐of‐the‐art HS variants on all the 30 IEEE CEC 2014 benchmark functions. The numerical results demonstrate the superiority of the proposed TPHS algorithm in terms of accuracy, particularly on multimodal functions when compared with other state‐of‐the‐art HS variants; further comparison with state‐of‐the‐art evolutionary algorithms reveals excellent performance of TPHS on composition functions. Composition functions are combined, rotated, shifted, and biased version of other unimodal and multimodal test functions and mimic the difficulties of real search spaces by providing a massive number of local optima and different shapes for different regions of the search space. The performance of the TPHS algorithm is also evaluated on a real‐life problem from the field of computer vision called camera calibration problem, ie, a 12‐dimensional highly nonlinear optimization problem with several local optima.     

一种求解高维复杂优化问题的动态自适应和声搜索算法

为了更好地提高求解高维复杂优化问题的能力,提出一种动态自适应和声搜索(DSHS)算法。该算法采用正交试验来设计算法的初始化和声记忆库;利用多维动态自适应调整算子和单维和声微调算子相结合的策略进行和声创作;改进和声音调调解步长,从而增强算法的扰动能力,避免其陷入局部搜索。通过6个标准Benchmark函数测试表明,该算法在全局搜索能力、收敛速度和稳定性方面都有明显提高。     

A differential-based harmony search algorithm for the optimization of continuous problems

The performance of the Harmony Search (HS) algorithm is highly dependent on the parameter settings and the initialization of the Harmony Memory (HM). To address these issues, this paper presents a new variant of the HS algorithm, which is called the DH/best algorithm, for the optimization of globally continuous problems. The proposed DH/best algorithm introduces a new improvisation method that differs from the conventional HS in two respects. First, the random initialization of the HM is replaced with a new method that effectively initializes the harmonies and reduces randomness. Second, the conventional pitch adjustment method is replaced by a new pitch adjustment method that is inspired by a Differential Evolution (DE) mutation strategy known as DE/best/1. Two sets of experiments are performed to evaluate the proposed algorithm. In the first experiment, the DH/best algorithm is compared with other variants of HS based on 12 optimization functions. In the second experiment, the complete CEC2014 problem set is used to compare the performance of the DH/best algorithm with six well-known optimization algorithms from different families. The experimental results demonstrate the superiority of the proposed algorithm in convergence, precision, and robustness.     

An improved global-best harmony search algorithm for faster optimization

In this paper, an improved global-best harmony search algorithm, named IGHS, is proposed. In the IGHS algorithm, initialization based on opposition-based learning for improving the solution quality of the initial harmony memory, a new improvisation scheme based on differential evolution for enhancing the local search ability, a modified random consideration based on artificial bee colony algorithm for reducing randomness of the global-best harmony search (GHS) algorithm, as well as two perturbation schemes for avoiding premature convergence, are integrated. In addition, two parameters of IGHS, harmony memory consideration rate and pitch adjusting rate, are dynamically updated based on a composite function composed of a linear time-varying function, a periodic function and a sign function in view of approximate periodicity of evolution in nature. Experimental results tested on twenty-eight benchmark functions indicate that IGHS is far better than basic harmony search (HS) algorithm and GHS. In further study, IGHS has also been compared with other eight well known metaheuristics. The results show that IGHS is better than or at least similar to those approaches on most of test functions.     

改进的单形进化算法及在神经网络上的应用研究

单形进化算法(Surface-Simplex Swarm Evolution Algorithm,简称SSSE)是一种新型群体智能优化算法,该算法通过建立粒子的单形邻域搜索算子和多角色态搜索机制,具有很好地收敛效果.为了对该算法的性能进行进一步分析与讨论,同时,为了强调全局搜索的应用场景并提高算法的勘探搜索能力,提出一种改进的单形进化算法(ISSSE),ISSSE对原算法的多态平衡搜索机制进行了两点改进;然后用8个标准测试函数进行性能测试,并同不同的算法比较;最后将ISSSE算法应用于径向基神经网络(RBF)的参数优化中.实验结果表明,改进的单形进化算法(ISSSE)在其性能上具有更好的勘探搜索能力,提高了算法的求解精度和收敛速度,并且能够很好应用于RBF的参数寻优,提高了RBF的分类正确率.     

带有策略自适应的状态转移算法

针对基本状态转移算法(state transition algorithm,STA)搜索效率低和后期收敛速度慢的不足,对不同算子求解特定优化问题的效果差异性展开统计研究,提出一种带有策略自适应的状态转移算法(SaSTA).首先,定义成功率和下降率两个指标,并在3个测试函数上进行统计研究,以证明不同算子对算法搜索能力的影...