增强开发能力的改进人工蜂群算法

为解决人工蜂群（ABC）算法收敛速度慢、精度不高和易于陷入局部最优等问题，提出一种增强开发能力的改进人工蜂群算法。一方面，将得出的最优解以两种方式直接引入雇佣蜂搜索公式中，通过最优解指导雇佣蜂的邻域搜索行为，以增强算法的开发或局部搜索能力；另一方面，在旁观蜂搜索公式中结合当前解及其随机邻域进行搜索，以改善算法的全局优化能力。对多个常用基准测试函数的仿真实验结果表明，在收敛速度、精度和全局优化能力等方面，所提算法总体上优于其他类似的ABC算法（例如ABC/best）和集成多种搜索策略的ABC算法（例如ABCVSS（ABC algorithm with Variable Search Strategy）和ABCMSSCE（ABC algorithm with Multi-Search Strategy Cooperative Evolutionary））。     

An Artificial Bee Colony algorithm with guide of global & local optima and asynchronous scaling factors for numerical optimization

Artificial Bee Colony (ABC) algorithm is a wildly used optimization algorithm. However, ABC is excellent in exploration but poor in exploitation. To improve the convergence performance of ABC and establish a better searching mechanism for the global optimum, an improved ABC algorithm is proposed in this paper. Firstly, the proposed algorithm integrates the information of previous best solution into the search equation for employed bees and global best solution into the update equation for onlooker bees to improve the exploitation. Secondly, for a better balance between the exploration and exploitation of search, an S-type adaptive scaling factors are introduced in employed bees’ search equation. Furthermore, the searching policy of scout bees is modified. The scout bees need update food source in each cycle in order to increase diversity and stochasticity of the bees and mitigate stagnation problem. Finally, the improved algorithms is compared with other two improved ABCs and three recent algorithms on a set of classical benchmark functions. The experimental results show that the our proposed algorithm is effective and robust and outperform than other algorithms.     

Artificial Bee Colony Algorithm Based on Adaptive Search Equation and Extended Memory

From the perspective of psychology, a modified artificial bee colony algorithm (ABC, for short) based on adaptive search equation and extended memory (ABCEM, for short) for global optimization is proposed in this paper. In the proposed ABCEM algorithm, an extended memory factor is introduced into store employed bees’ and onlooker bees’ historical information comprising recent food sources, personal best food sources, and global best food sources, and the solution search equation for the employed bees is equipped with adaptive ability. Moreover, a parameter is employed to describe the importance of the extended memory. Furthermore, the extended memory is added to two solution search equations for the employed bees and the onlookers to improve the quality of food source. To evaluate the proposed algorithm, experiments are conducted on a set of numerical benchmark functions. The results show that the proposed algorithm can balance the exploration and exploitation, and can improve the accuracy of optima solutions and convergence speed compared with other current improved ABCs for global optimization in most of the tested functions.     

具有自适应全局最优引导快速搜索策略的人工蜂群算法

针对人工蜂群算法存在开发与探索能力不平衡的缺点,提出了具有自适应全局最优引导快速搜索策略的改进算法.在该策略中,首先采蜜蜂利用自适应搜索方程平衡了不同搜索方法的探索和开发能力;其次跟随蜂利用全局最优引导邻域搜索方程对蜜源进行精细化搜索,以提高其收敛精度和全局搜索能力.14个标准测试函数的仿真结果表明,相比其他算法,所提出的改进算法有效平衡了算法的开发与探索能力,并提高了其最优解的精度及收敛速度.     

BMNABC: Binary Multi-Neighborhood Artificial Bee Colony for High-Dimensional Discrete Optimization Problems

Abstract

Many meta-heuristic algorithms have been proposed to solve continuous optimization problems. Hence, researchers have applied various techniques to change these algorithms for discrete search spaces. Artificial bee colony (ABC) algorithm is one of the well-known algorithms for real search spaces. ABC has a good ability in exploration but it is weak in exploitation. Several binary versions of ABC have been proposed so far. Since the methods are based on the standard ABC, they have the disadvantage of ABC. In this article, a new binary ABC called binary multi-neighborhood ABC (BMNABC) has been introduced to enhance the exploration and exploitation abilities in the phases of ABC. BMNABC applies the near and far neighborhood information with a new probability function in the first and second phases. A more conscious search than the standard ABC is done in the third phase for those solutions which have been not improved in the previous phases. The performance of algorithm has been evaluated by low- and high-dimensional functions and the 0-1 multidimensional knapsack problems. The proposed method has been compared with state-of-the-art algorithms. The results showed that BMNABC had a better performance in terms of solution accuracy and convergence speed.     

A novel artificial bee colony algorithm with Powell's method

Artificial bee colony (ABC) algorithm is a relatively new optimization technique which has been shown to be competitive to other population-based algorithms. However, there is still an insufficiency in ABC regarding its solution search equation, which is good at exploration but poor at exploitation. To address this concerning issue, we first propose a modified search equation which is applied to generate a candidate solution in the onlookers phase to improve the search ability of ABC. Further, we use the Powell's method as a local search tool to enhance the exploitation of the algorithm. The new algorithm is tested on 22 unconstrained benchmark functions and 13 constrained benchmark functions, and are compared with some other ABCs and several state-of-the-art algorithms. The comparisons show that the proposed algorithm offers the highest solution quality, fastest global convergence, and strongest robustness among all the contenders on almost all test functions.     

A modified artificial bee colony algorithm

Artificial bee colony algorithm (ABC) is a relatively new optimization technique which has been shown to be competitive to other population-based algorithms. However, there is still an insufficiency in ABC regarding its solution search equation, which is good at exploration but poor at exploitation. Inspired by differential evolution (DE), we propose an improved solution search equation, which is based on that the bee searches only around the best solution of the previous iteration to improve the exploitation. Then, in order to make full use of and balance the exploration of the solution search equation of ABC and the exploitation of the proposed solution search equation, we introduce a selective probability P and get the new search mechanism. In addition, to enhance the global convergence, when producing the initial population, both chaotic systems and opposition-based learning methods are employed. The new search mechanism together with the proposed initialization makes up the modified ABC (MABC for short), which excludes the probabilistic selection scheme and scout bee phase. Experiments are conducted on a set of 28 benchmark functions. The results demonstrate good performance of MABC in solving complex numerical optimization problems when compared with two ABC-based algorithms.     

基于精英解和随机个体邻域信息的改进人工蜂群算法

针对人工蜂群(ABC)算法开发能力差、收敛速度慢的缺点,分别提出适用于雇佣蜂和观察蜂阶段的搜索方程,其中前者用到精英解、随机选择个体及其邻域的有益信息,后者用到群体最优解的信息.所提出的搜索方程在一定程度上不仅能够加快改进算法的收敛速度,而且由于随机选择个体的引入在一定意义上可以保证算法的探索能力.对22个基准测试函数的仿真实验结果表明,所提出的算法在大多数测试函数上的性能优于对比算法.     

Enhanced artificial bee colony algorithm through differential evolution

Artificial bee colony algorithm (ABC) is a relatively new optimization algorithm. However, ABC does well in exploration but badly in exploitation. One possible way to improve the exploitation ability of the algorithm is to combine ABC with other operations. Differential evolution (DE) can be considered as a good choice for this purpose. Based on this consideration, we propose a new algorithm, i.e. DGABC, which combines DE with gbest-guided ABC (GABC) by an evaluation strategy with an attempt to utilize more prior information of the previous search experience to speed up the convergence. In addition, to improve the global convergence, when producing the initial population, a chaotic opposition-based population initialization method is employed. The comparison results on a set of 27 benchmark functions demonstrate that the proposed method has better performance than the other algorithms.     

基于多种群组合策略的人工蜂群算法

针对标准人工蜂群（ABC）算法存在开发能力弱、收敛速度慢的缺点,提出了一种基于多种群组合策略的ABC算法。首先,将异维协同和多维匹配的更新机制引入搜索方程;然后,针对雇佣蜂和跟随蜂分别设计了两种组合策略,组合策略是由侧重于广度探索和深度开发的两个子策略构成。在跟随蜂阶段,将种群划分为自由子集和非自由子集,并使属于不同子集的个体采用不同的子策略,从而平衡算法的探索与开发能力。通过15个标准测试函数将所提改进ABC算法与标准ABC算法和其他3种改进ABC算法进行仿真对比,结果表明所提算法在低维和高维问题中都具有更好的寻优性能。     

Gaussian bare-bones artificial bee colony algorithm

As a relatively new global optimization technique, artificial bee colony (ABC) algorithm becomes popular in recent years for its simplicity and effectiveness. However, there is still an inefficiency in ABC regarding its solution search equation, which is good at exploration but poor at exploitation. To overcome this drawback, a Gaussian bare-bones ABC is proposed, where a new search equation is designed based on utilizing the global best solution. Furthermore, we employ the generalized opposition-based learning strategy to generate new food sources for scout bees, which is beneficial to discover more useful information for guiding search. A comprehensive set of experiments is conducted on 23 benchmark functions and a real-world optimization problem to verify the effectiveness of the proposed approach. Some well-known ABC variants and state-of-the-art evolutionary algorithms are used for comparison. The experimental results show that the proposed approach offers higher solution quality and faster convergence speed.     

基于改进搜索策略和混沌机制的人工蜂群算法

人工蜂群算法具有较强的探索能力,但是开采能力差、搜索精度低、后期收敛速度慢。针对以上问题,本文提出一种基于混沌机制的人工蜂群算法,在搜索方程中引入历史平均最优解,避免探索和开采能力的失衡;迭代后期,若种群陷入局部极值,采用混沌序列对种群进行变异,以增强算法的开采能力和求解的质量,保持种群的多样性。经过函数测试结果表明,改进后的算法在求解速度和精度上均优于基本ABC算法和其他改进算法。      

混合策略改进的麻雀搜索算法

针对麻雀搜索算法存在的迭代过程中种群多样性减少且容易陷入局部最优以及收敛速度慢等问题,提出混合策略改进的麻雀搜索算法（MSSSA）。利用Circle映射初始化麻雀个体位置,增加初始种群的多样性。结合蝴蝶优化算法（BOA）中蝴蝶飞行方式,改进发现者的位置更新策略,增强算法全局探索能力。采用逐维变异方法对个体位置进行扰动,提升算法跳出局部最优的能力。在仿真实验中与4种基本算法和5种改进算法基于10个基准测试函数进行比较并进行Wilcoxon秩和检验,结果表明所提算法具有更好的收敛性和求解精度,全局寻优能力得到大幅提升。     

基于中心解的改进人工蜂群算法

为了解决人工蜂群(ABC)算法在用于函数优化时所具有的局部探索能力不强、收敛精度不高的问题,提出一种基于中心解的人工蜂群算法。该算法结合中心解和当前最优候选解的优点,并将中心解引入到跟随蜂的局部变异策略中。跟随蜂采用轮盘赌的形式,选择某些适应度值较好的蜜源,在雇佣蜂中心解的基础上深度局部寻优,并在每次迭代中逐维更新蜜源每一维度的值。为了验证该算法的有效性,选择六个基准测试函数对三种算法进行仿真对比实验。与标准ABC算法和Best-so-far ABC算法相比,改进的ABC算法的求解精度有较大幅度提高,特别是对于Rastrigin函数,两种不同维数下均达到了理论最优值。实验结果表明:所提算法在收敛速度和寻优精度上都有明显改善。     

双领导者樽海鞘群算法

为了提升樽海鞘群(Salp Swarm Algorithm,SSA)算法的求解精度和全局搜索能力,提出了一种基于正态过程搜索和差分进化(Differential Evolution,DE)算法的改进樽海鞘群算法——双领导者樽海鞘群算法(Two Types of Leaders Salp Swarm Algorithm,TTLSSA)。该算法设置了两类领导者和两种跟随群体,其中执行正态过程搜索的领导者需要进行正态过程游走、交叉、选择等操作,主要用于全局勘探;当前最优解附近的领导者在随迭代次数呈锯齿状变化的参数gap的影响下,兼顾了全局搜索和局部开发两种功能。用18个不同类型的标准测试函数检验所提算法的性能,并与DE、SSA、正弦余弦算法(Sines and Cosines Algorithm,SCA)、灰狼优化(Grey Wolf Optimizer,GWO)算法以及鲸鱼优化算法(Whale Optimization Algorithm,WOA)做对比,TTLSSA在16个测试函数上的平均精度排名第1或并列第1,在2个测试函数上的平均精度排名第2,在6种算法中平均耗时排名第2,说明了TTLSSA在没有增加SSA时间成本的前提下,显著提升了优化能力。     

多策略的郊狼优化算法

郊狼优化算法（coyote optimization algorithm,COA）是最近提出的一种群智能优化算法,具有独特的搜索结构和较好的优化性能。为了进一步提高COA的优化性能,提出了一种多策略的郊狼优化算法（multi-strategy COA,MSCOA）。首先,对于组内最优郊狼,采用一种全局最优郊狼引导的成长策略提高其社会适应能力,对于组内最差郊狼,采用一种最优郊狼引导强化策略强化最差郊狼的能力;其次,对于组内其他郊狼采用一种动态调整信息交流的组内成长策略提升组内郊狼之间的信息共享程度,并将这种组内成长策略与一种改进的迁移策略融合,更进一步提升搜索能力;最后采用动态分组策略减少参数手动设置,提高算法的可操作性。以上多种策略的使用更好地平衡了探索与开采,使算法的性能最大化。大量来自CEC2014测试集的复杂函数实验结果表明,与COA相比,MSCOA具有更强搜索能力、更快的运行速度和更高的搜索效率,与其他优秀优化算法相比,具有更明显的优势。     

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.     

具有角色转换的自适应人工蜂群算法

提出一种具有引领蜂与跟随蜂动态协调机制的改进人工蜂群算法（DHABC）。根据优化函数的寻优状态,设计了引领蜂与跟随蜂动态角色转换机制,以更好地适应全局和局部搜索;为使算法能够更好地进行局部兼顾更大范围搜索,设计了引领蜂与跟随蜂间位置信息的共享方式;为提高算法的求解速度,设计了跟随蜂进化代数起始值的计算方法;通过仿真和比较实验,改进算法较其他ABC改进算法及其他智能优化算法既参数少,便于应用,又求解精度较高。     

A whale optimization algorithm based on quadratic interpolation for high-dimensional global optimization problems

Whale Optimization Algorithm (WOA), as a new population-based optimization algorithm, performs well in solving optimization problems. However, when tackling high-dimensional global optimization problems, WOA tends to fall into local optimal solutions and has slow convergence rate and low solution accuracy. To address these problems, a whale optimization algorithm based on quadratic interpolation (QIWOA) is presented. On the one hand, a modified exploration process by introducing a new parameter is proposed to efficiently search the regions and deal with the premature convergence problem. On the other hand, quadratic interpolation around the best search agent helps QIWOA to improve the exploitation ability and the solution accuracy. Moreover, the algorithm tries to make a balance between exploitation and exploration. QIWOA is compared with several state-of-the-art algorithms on 30 high-dimensional benchmark functions with dimensions ranging from 100 to 2000. The experimental results show that QIWOA has faster convergence rate and higher solution accuracy than both WOA and other population-based algorithms. For functions with a flat or sharp bottom, QIWOA is difficult to find the global optimum, but it still performs best compared with other algorithms.     

融入变异交叉的改进天牛须算法求解TSP及工程应用

为找到最短路径,克服传统算法收敛速度慢、求解精度低等问题,提出一种融入变异交叉的改进天牛群算法(MBSO).首先将个体天牛转换成群体天牛搜索寻优;在群体进化过程中融入变异和交叉,提高全局搜索到更优结果;最后加入天牛须间长度自适应和步长自适应机制的搜索算法,改善算法的探索能力.将改进的算法通过MATLAB对TSPLIB中的数据集进行仿真实验,并用于PON网络规划问题.证明改进的天牛须算法在收敛速度和求解精度两方面较其他算法都有所提升,算法运行时间平均减少0.3 s,实验结果更接近最优解.