三态协调搜索多目标粒子群优化算法

提出一种三态协调搜索多目标粒子群优化算法. 该算法提出的三态指导粒子选择策略可以很好地协调算法的局部和全局搜索能力, 且算法改进了传统的外部档案保存机制, 同时引入3 种突变因子, 使获得的非劣解具有更好的分散性. 通过对标准测试函数的求解, 并与其他经典多目标优化算法比较, 表明了新算法在收敛性和多样性方面均有较大的优越性. 最后分析了区域划分系数对所提出算法性能的影响.

     

A food source-updating information-guided artificial bee colony algorithm

Artificial bee colony algorithm simulates the foraging behavior of honey bees, which has shown good performance in many application problems and large-scale optimization problems. To model the bees foraging behavior more accurately, a food source-updating information-guided artificial bee colony algorithm is proposed in this paper. In this algorithm, some food source-updating information obtained during optimizing time is introduced to redefine the foraging strategies of artificial bees. The proposed algorithm has been tested on a set of test functions with dimension 30, 100, 1000 and compared with some recently proposed related algorithms. The experimental results show that the performance of artificial bee colony algorithm is significantly improved for both rotated problems and large-scale problems. Compared with the related algorithms, the proposed algorithm can achieve better or competitive performance on most test functions and greatly better performance on parts of test functions.

     

基于交流的求解数值优化问题的混合演化算法

演化算法中有很多不同的演化算子,每一种算子对于不同的优化问题都有自己的优点和缺点。提出了一种基于交流模型的多算子混合演化算法。在该算法中,有两个种群,使用两种算子:多父体杂交算子和Cauchy变异算子。种群间的信息交换通过个体交流实现。对23个标准测试函数的数值仿真表明,该算法具有良好的全局收敛性和鲁棒性。     

求解高维复杂函数的遗传-灰狼混合算法

高维函数优化一般是指维数超过100维的函数优化问题,由于"维数灾难"的存在,求解起来十分困难.针对灰狼算法迭代后期收敛速度慢,求解高维函数易陷入局部最优的缺点,在基本灰狼算法中引入3种遗传算子,提出一种遗传-灰狼混合算法(hybrid genetic grey wolf algorithm,HGGWA).混合算法能够充分发挥两种算法各自的优势,提高算法的全局收敛性,针对精英个体的变异操作有效防止算法陷入局部最优值.通过13个标准测试函数和10个高维测试函数验证算法的性能,并将优化结果与PSO、GSA、GWO三种基本算法以及9种改进算法进行比较.仿真结果表明,所提算法在收敛精度方面得到了极大改进,验证了HGGWA算法求解高维函数的有效性.     

A hybrid OBL-based firefly algorithm with symbiotic organisms search algorithm for solving continuous optimization problems

The metaheuristic optimization algorithms are relatively new optimization algorithms introduced to solve optimization problems in recent years. For example, the firefly algorithm (FA) is one of the metaheuristic algorithms inspired by the fireflies' flashing behavior. However, its weakness in terms of exploration and early convergence has been pointed out. In this paper, two approaches were proposed to improve the FA. In the first proposed approach, a new improved opposition-based learning FA (IOFA) method was presented to accelerate the convergence and improve the FA's exploration capability. In the second proposed approach, a symbiotic organisms search (SOS) algorithm improved the exploration and exploitation of the first approach; two new parameters set these two goals, and the second approach was named IOFASOS. The purpose of the second method is that in the process of the SOS algorithm, the whole population is effective in the IOFA method to find solutions in the early stages of implementation, and with each iteration, fewer solutions are affected in the population. The experiments on 24 standard benchmark functions were conducted, and the first proposed approach showed a better performance in the small and medium dimensions and exhibited a relatively moderate performance in the higher dimensions. In contrast, the second proposed approach was better in increasing dimensions. In general, the empirical results showed that the two new approaches outperform other algorithms in most mathematical benchmarking functions. Thus, The IOFASOS model has more efficient solutions.

     

一种改进的微分进化算法

相对于其他优化算法来说,微分进化算法具有控制参数少、易于使用以及鲁棒性强等特点,但在搜索过程中存在着局部搜索能力弱的缺点。针对微分进化算法局部搜索能力弱的缺点,提出了一种基于局部变异的微分进化算法,该算法使个体具有良好快速收敛能力。使用典型优化函数对比较算法进行了测试,算法分析和仿真结果表明,改进以后的算法具有寻优能力...     

基于改进约束差分进化算法的动态航迹规划

为解决三维复杂环境下无人机动态航迹规划问题,提出一种基于改进约束差分进化算法的动态航迹规划方法,以满足对实时性及动态搜索精度的要求.首先,根据无人机航迹规划特点将其描述为包括飞行约束及威胁约束在内的约束优化问题,并构造目标代价函数和约束限制函数;其次,将广义反向学习和自适应排序变异操作引入到约束差分进化算法中,以提高算法的多样性、收敛速度和寻优精度;最后,利用自适应权衡模型对各状态下的约束限制进行处理,充分利用“精英”个体信息,实现对目标适应值的合理转换.通过仿真实验以及与3种先进约束差分进化算法比较表明:所提方法能够有效实现静态及动态威胁回避,规划出安全适航的飞行路径,实现地形跟随;相较于其他3种算法,所提方法具有寻优性能好、鲁棒性强、收敛速度快和可靠性高等优势.     

Multiobjective differential evolution using homeostasis based mutation for application in software cost estimation

The problem in software cost estimation revolves around accuracy. To improve the accuracy, heuristic/meta-heuristic algorithms have been known to yield better results when it is applied in the domain of software cost estimation. For the sake of accuracy in results, we are still modifying these algorithms. Here we have proposed a new meta-heuristic algorithm based on Differential Evolution (DE) by Homeostasis mutation operator. Software development requires high prediction and low Root Mean Squared Error (RMSE) and mean magnitude relative error(MMRE). The problem in software cost estimation relates to accurate prediction and minimization of RMSE and MMRE, which are used to solve multiobjective optimization. Many versions of DE were proposed, however multi-objective versions where the concept of Pareto optimality is used, are most popular. Pareto-Based Differential Evolution (PBDE) is one of them. Although the performance of this algorithm is very good, its convergence rate can be further improved by minimizing the time complexity of nondominated sorting, and by improving the diversity of solutions. This has been implemented by using efficient nondominated algorithm whose time complexity is better than the previous one and a new mutation scheme is implemented in DE which can provide more diversity among solutions. The proposed variant multiplies the Homeostasis value with one more vector, named the Homeostasis mutation vector, in the existing mutation vector to provide more bandwidth for selecting effective mutant solutions. The proposed approach provides more promising solutions to guide the evolution and helps DE escape the situation of stagnation. The performance of the proposed algorithm is evaluated on twelve benchmark test functions (bi-objective and tri-objective) on the Pareto-optimal front. The performance of the proposed algorithm is compared with other state-of-the-art algorithms on five multi-objective evolutionary algorithms (MOEAs). The result verifies that our proposed Homeostasis mutation strategy performs better than other state-of-the-art algorithms. Finally, application of MODE-HBM is applied to solve in terms of Pareto front, representing the trade-off between development RMSE, MMRE, and prediction for COCOMO model.     

Disturbed Exploitation compact Differential Evolution for limited memory optimization problems

This paper proposes a novel and unconventional Memetic Computing approach for solving continuous optimization problems characterized by memory limitations. The proposed algorithm, unlike employing an explorative evolutionary framework and a set of local search algorithms, employs multiple exploitative search within the main framework and performs a multiple step global search by means of a randomized perturbation of the virtual population corresponding to a periodical randomization of the search for the exploitative operators. The proposed Memetic Computing approach is based on a populationless (compact) evolutionary framework which, instead of processing a population of solutions, handles its statistical model. This evolutionary framework is based on a Differential Evolution which cooperatively employs two exploitative search operators: the first is based on a standard Differential Evolution mutation and exponential crossover, and the second is the trigonometric mutation. These two search operators have an exploitative action on the algorithmic framework and thus contribute to the rapid convergence of the virtual population towards promising candidate solutions. The action of these search operators is counterbalanced by a periodical stochastic perturbation of the virtual population, which has the role of “disturbing” the excessively exploitative action of the framework and thus inhibits its premature convergence. The proposed algorithm, namely Disturbed Exploitation compact Differential Evolution, is a simple and memory-wise cheap structure that makes use of the Memetic Computing paradigm in order to solve complex optimization problems. The proposed approach has been tested on a set of various test problems and compared with state-of-the-art compact algorithms and with some modern population based meta-heuristics. Numerical results show that Disturbed Exploitation compact Differential Evolution significantly outperforms all the other compact algorithms present in literature and reaches a competitive performance with respect to modern population algorithms, including some memetic approaches and complex modern Differential Evolution based algorithms. In order to show the potential of the proposed approach in real-world applications, Disturbed Exploitation compact Differential Evolution has been implemented for performing the control of a space robot by simulating the implementation within the robot micro-controller. Numerical results show the superiority of the proposed algorithm with respect to other modern compact algorithms present in literature.     

基于分治策略的改进人工蜂群算法

人工蜂群(ABC)算法存在着收敛速度不够快、易陷入局部最优的缺陷。针对这一问题,提出一种改进的人工蜂群(DCABC)算法。应用反学习的初始化方法产生初始解,引入分治策略对蜜源进行优化,在采蜜蜂发布更新的蜜源信息后,跟随蜂选择最优蜜源,并采用分治策略进行迭代优化。通过对经典测试函数的反复实验及与其他算法的比较,表明了所提出的算法具有良好的加速收敛效果,提高了全局搜索能力与效率。     

基于粒子滤波重采样与变异操作的改进粒子群算法

针对标准粒子群优化(PSO)算法在求解过程中存在求解精度低、搜索后期收敛速度慢等问题,提出一种基于粒子滤波重采样步骤与变异操作相结合的改进PSO算法——RSPSO。该算法充分利用重采样中具有较大权值的粒子被保留和复制、较小权值的粒子被舍弃的特点,并利用已有的变异操作方法克服粒子匮乏的缺点,大大增强了PSO算法中后期搜索阶段的局部搜索能力。在不同基准函数下对RSPSO算法和标准PSO算法以及文献中其他改进算法进行对比。实验结果表明, RSPSO算法的收敛速度较快,同时其搜索精度和解的稳定性均有所提高,且能够全局地解决多峰问题。     

基于动态层次分析的自适应多目标粒子群优化算法及其应用

提出一种基于动态层次分析的自适应多目标粒子群优化算法,利用模糊一致矩阵层次分析法选取全局最优粒子,保证进化方向的合理性和客观性。在进化过程中对种群状态进行客观度量,自适应更新种群的权重和学习因子等重要参数,使种群进化具有自我调节能力。将提出的算法分别应用于标准多目标测试函数、PID控制器参数优化和甲醇转化烃类物质的工业过程模型辨识中,通过与其他算法的对比说明了所提出算法的有效性和可行性。     

A novel hybrid DE–random search approach for unit commitment problem

Differential evolution (DE) is a population-based stochastic search algorithm, whose simple yet powerful and straightforward features make it very attractive for numerical optimization. DE uses a rather greedy and less stochastic approach to problem-solving than other evolutionary algorithms. DE combines simple arithmetic operators with the classical operators of recombination, mutation and selection to evolve from a randomly generated starting population to a final solution. Although global exploration ability of DE algorithm is adequate, its local exploitation ability is feeble and convergence velocity is too low and it suffers from the problem of untime convergence for multimodal objective function, in which search process may be trapped in local optima and it loses its diversity. Also, it suffers from the stagnation problem, where the search process may infrequently stop proceeding toward the global optimum even though the population has not converged to a local optimum or any other point. To improve the exploitation ability and global performance of DE algorithm, a novel and hybrid version of DE algorithm is presented in the proposed research. This research paper presents a hybrid version of DE algorithm combined with random search for the solution of single-area unit commitment problem. The hybrid DE–random search algorithm is tested with IEEE benchmark systems consisting of 4, 10, 20 and 40 generating units. The effectiveness of proposed hybrid algorithm is compared with other well-known evolutionary, heuristics and meta-heuristics search algorithms, and by experimental analysis, it has been found that proposed algorithm yields global results for the solution of unit commitment problem.

     

引导小生境回溯优化算法

回溯搜索优化算法（BSA）是近年提出的一种新型优化算法,针对其收敛速度较慢、易陷于局部最优的缺点,提出了一种基于最优个体引导和小生境技术相结合的改进BSA算法。本方法首先在BSA的变异操作中引入向最优个体学习的策略,以提高算法的收敛速度;其次,设计一种新的小生境排挤技术,根据每个个体到其他个体距离的平均最小值确定小生境半径,排除部分相似性较高的个体;结合群体当前的最差信息,设计一种新的变异方法产生一定数量的新个体补充到新的种群中,维持群体数量的恒定并增强群体多样性。改进的BSA算法充分考虑了算法的收敛速度和群体的多样性,较大地提高了传统BSA算法的性能。对10个典型函数进行仿真测试,并与其他算法结果进行对比,实验结果表明,改进算法在收敛速度与精度方面具有较好的效果。     

基于局部协同与竞争变异的动态多种群粒子群算法

针对粒子群算法在处理复杂优化问题时,出现多样性较差、收敛精度低等问题,提出了基于局部协同与竞争变异的动态多种群粒子群算法(Dynamic Multi-population Particle Swarm Optimization Based on Local Cooperative and Competitive M utation,LC-DM PPSO).LC-DM PPSO算法设计了一种局部协同的方法,该方法划分种群成多个子种群,划分后的子种群再通过非支配排序、差分变异的方法选择出一对领导粒子.同时,对粒子的更新方法进行改进,让各个目标优化更加均衡,增强LC-DM PPSO算法的局部搜索能力,提高收敛精度.在LC-DM PPSO算法中,为了防止出现"早熟"收敛的情况,引入竞争变异来增加种群多样性.最后,通过选择一系列标准测试函数将LC-DM PPSO算法与3种进化算法进行比较,验证所提算法的有效性.实验结果显示,所提算法的多样性和收敛性比其他3种进化算法更好,优化效果更佳.     

A new particle swarm optimization algorithm with adaptive inertia weight based on Bayesian techniques

Particle swarm optimization is a stochastic population-based algorithm based on social interaction of bird flocking or fish schooling. In this paper, a new adaptive inertia weight adjusting approach is proposed based on Bayesian techniques in PSO, which is used to set up a sound tradeoff between the exploration and exploitation characteristics. It applies the Bayesian techniques to enhance the PSO's searching ability in the exploitation of past particle positions and uses the cauchy mutation for exploring the better solution. A suite of benchmark functions are employed to test the performance of the proposed method. The results demonstrate that the new method exhibits higher accuracy and faster convergence rate than other inertia weight adjusting methods in multimodal and unimodal functions. Furthermore, to show the generalization ability of BPSO method, it is compared with other types of improved PSO algorithms, which also performs well.     

一种改进的生物地理学优化算法

生物地理学优化算法（BBO）作为一种新型的智能算法,在其提出不到十年的时间内受到学界的广泛关注和研究,并显示出了广阔的应用前景。为了提高算法的优化性能,对BBO算法提出一种改进,该算法在将差分优化算法（DE）中的局部搜索策略同BBO算法中的迁移策略相结合的基础上,针对迁移算子和变异算子分别进行改进,提出了二重迁移算子和二重变异算子,使得栖息地个体在进化过程中得到更高的进化概率,从而使得算法的寻优能力得到进一步提升。通过6个高维函数的测试,结果表明该算法在优化高维优化问题时,较其他几种生物地理学优化算法具有更好的收敛性和稳定性。     

基于自适应惯性权重的樽海鞘群算法

针对标准樽海鞘群算法收敛精度低、收敛速度慢的问题,提出一种基于自适应惯性权重的樽海鞘群算法(AIWSSA).首先,在追随者位置更新公式中引入惯性权重因子评价个体之间的影响程度;然后,结合种群成功率与非线性递减函数对惯性权重因子进行自适应调整,使算法的全局和局部搜索能力得到更好地平衡;最后,为防止算法陷入局部最优,引入差分变异思想对非最优个体进行变异.对12个基准测试函数进行求解,实验结果表明:AIWSSA具有较高的收敛精度、收敛速度和鲁棒性; Wilcoxon统计检验结果表明:与标准樽海鞘群算法、改进的樽海鞘群算法、其他群体智能算法相比, AIWSSA表现出较好的性能.通过将其应用于两种带约束的工程设计问题,验证了AIWSSA的有效性.     

引入物种演化的改进生物地理学优化算法

针对生物地理学优化算法(biogeography-based optimization, BBO)易早熟收敛、陷入局部最优的问题,引入物种演化理论提出了改进生物地理学优化算法。该算法将所有栖息地按照物种数量划分为三种地区,并建立协同进化关系,合理地采用区间入侵、区内合作/竞争策略,满足多样性的同时避免了早熟收敛。定义了物种更迭和物种进化两种变异策略,提出的双策略协同变异算子旨在解决变异算子对较优解的破坏。通过CEC2017中的八个基准测试函数与标准BBO及相关改进算法相比,该算法在算法性能、稳定性等方面优于BBO及其他改进算法,且该算法不易被局部最优值所限制。将该算法应用于以最大完工时间为目标的柔性作业车间调度问题(flexible Job-Shop scheduling problem, FJSP)以检验其实际应用价值,实验表明,该算法在解决FJSP上具有一定的有效性。     

依概率收敛的改进粒子群优化算法

粒子群优化算法是一种随机优化算法,但它不依概率1收敛到全局最优解。因此提出一种新的依概率收敛的粒子群优化算法。在该算法中,首先引入了具有探索和开发能力的两个变异算子,并依一定概率对粒子当前最好位置应用这两个算子,然后证明了该算法是依概率1收敛到ε-最优解。最后,把该算法应用到13个典型的测试函数中,并与其他粒子群优化算法比较,数值结果表明所给出的算法能够提高求解精度和收敛速度。