基于单形正交实验设计的差分演化算法

为了克服传统差分演化(DE)算法在求解约束优化问题时出现的收敛性慢和容易陷入早熟等缺陷,提出一种新的基于单形正交实验设计的差分演化(SO-DE)算法。该算法设计了一种结合单形交叉和正交实验设计的混合交叉算子来提高差分演化算法的搜索能力;同时采用了一种改进的个体优劣比较准则对种群个体进行比较和选择。这种新的混合交叉算子利用多个父代个体进行单形交叉产生多个子代个体,从两者中选择优秀个体进行正交实验设计得到下一代种群个体。改进的个体优劣比较准则对不同状态下的种群采用不同的处理方案,其目的在于能够有效地权衡目标函数值和约束违反量之间的关系,从而选择优秀个体进入下一代种群。通过对13个标准测试函数和2个工程设计问题进行仿真实验,实验结果表明SO-DE算法求解的精度和标准方差都要优于HEAA算法和COEA/OED算法。SO-DE算法具有更高的精度以及更好的稳定性。     

一种维持种群多样性的多目标差分演化算法

差分演化算法是一种简单而有效的全局优化算法。本文将差分演化算法用于求解多目标优化问题,给出了一种维持种群多样性的多目标差分演化算法。该算法采用正交设计法初始化种群,改进差分演化算子,从而有利于维持种群多样性,提高演化算法的搜索性能。初步实验表明,新算法能有效地求解多目标优化问题。     

一种基于混沌变异的双群进化规划算法

易早熟收敛是传统进化规划算法的致命缺点。该文在分析了导致进化规划算法早熟原因的基础上,提出了一种基于混沌变异的多群进化规划算法。在该算法中,进化在两个并行的子群间同时进行,一个种群使用混沌变异算子对解空间进行充分的探索,另一个种群使用指数衰减的高斯变异算子对局部进行详尽搜索,种群问的信息交换通过种群的个体交流实现。对典型算例的数值仿真表明,该算法能够改善传统的进化规划算法易早熟收敛的弱点,同时具有良好的快速收敛性和参数鲁棒性。     

基于差分演化与猫群算法融合的群体智能算法

提出一种基于差分演化与猫群算法融合的群体智能算法。该算法基于猫群算法的两种行为模式,引进差分演化的思想,根据分组率随机把群体分成两个种群,一个种群执行猫群算法搜寻模式,另一种群执行差分变异模式,算法采用一种信息共享机制,使两个种群在搜索最优解时可以实现协同进化,信息交流。既实现了不同进化模式间的优势互补,又可以增加种群的多样性。对5个基准函数进行仿真实验并分别与DE和CSO进行比较,表明混合算法同时具有全局搜索和局部搜索最优解性能,收敛速度快,计算精度高,更适合用于求解高维复杂函数。     

基于自适应变异算子的差分进化算法

针对差分演化算法易于早熟、收敛速度慢和收敛精度低等问题,提出一种基于自适应变异算子的差分进化算法。给出个体向量粒子及维度层定义,并提出了基于维度层加权的异维维度选择策略,首次将加权异维学习策略引入差分演化算法中,有效地提高了种群的多样性;根据种群聚集度的思想,提出一种基于种群聚集度自适应的变异算子,该算子能依据种群个体当前的种群聚集度自适应地调整DE/best/1变异算子和加权异维学习变异算子的变异权重,加快算法收敛速度、提高其收敛精度。通过在20个典型的测试函数上进行测试,与7种具有代表性的算法相比,结果表明提出的算法在求解精度和收敛速度上具有很大优势,并显示出了非常好的鲁棒性。     

基于改进粒子群优化算法的矩形Packing问题

针对具有NP难度的矩形Packing问题,提出一种带变异算子的双种群粒子群算法,该算法将粒子群分为2个不同的子群,使种群在全局和局部都有较好的搜索能力。通过子群重组实现种群间的信息交换。同时在算法中引入变异算子,对产生的局部最优解的邻域进行搜索。实验结果表明,该算法是一种求解矩形Packing问题的高效实用的算法。     

融合强化学习的多目标路径规划

移动机器人路径规划问题的节点数量大、搜索空间广, 且对安全性和实时性有要求等因素, 针对移动机器人多目标路径规划问题, 提出一种新颖的融合强化学习的多目标智能优化算法. 首先, 该算法采用NSGA-II为基础框架, 利用强化学习的赋予个体学习能力, 设计一种SARSA算子提高算法的全局搜索效率. 其次, 为了加速算法的收敛速度和保证种群多样性, 增加自适应模拟二进制交叉算子(tanh-SBX)作为辅助算子, 并将种群分为两种性质不同的子种群: 精英种群和非精英种群. 最后, 设计了4种不同的策略, 通过模拟退火算法的Metropolis准则计算更新策略的概率, 让最合适的策略引导种群的优化方向, 以平衡探索和利用. 仿真实验表明, 该算法在不同复杂度的环境下均能找到最佳路径. 相比传统智能仿生算法, 在更加复杂的环境中, 所提出的算法能有效平衡优化目标, 找到更优的安全路径.     

一种改进的演化算法及其在求解复杂优化问题中的应用*

针对传统演化算法在求解函数优化,特别是多峰函数优化问题中出现的早熟现象以及演化后期收敛速度慢等问题,提出了一种新的反序小生境演化算法。该算法采用小生境反序交叉算子,以进一步增强局部寻优的能力;引入一种并行演化算法机制,加强群体寻优能力;同时,根据定义域划分初始种群,增加初始种群的覆盖面积。通过仿真实验表明,与传统的小生境演化算法相比较,利用该算法求解复杂多峰函数优化问题能够明显提高问题的求解精度和收敛速度,而且能够得到所有的全局最优解,更好地避免了求解问题时的早熟现象,达到了较好的效果。     

一种改进的演化算法

将GT算法和粒子群优化（PSO）算法结合并加以改进，采用non uniform变异算子提高局部搜索能力和算法的稳定性，同时引入种群划分等策略，构建了一种新的演化算法(记为GT POPDM PSO)。该算法比上述两种算法具有更好的性能，特别是对多峰函数优化等问题计算效果更好。     

一种新的求解多目标优化问题的遗传算法

提出一种新的求解多目标优化问题的算法-GGGA。该算法运用几何斜率Pareto选择的精英策略,多个子种群从求解目标的不同方向进行区域演化,并借鉴了郭涛算法的多父体杂交算子。数据实验表明这是一种可行的有效算法。算法避免了基于Pareto占优比较的复杂性,在解空间的多样性和快速收敛性方面也显示出优越性。     

A decomposition-based hybrid multiobjective evolutionary algorithm with dynamic resource allocation

Different crossover operators suit different problems. It is, therefore, potentially problematic to chose the ideal crossover operator in an evolutionary optimization scheme. Using multiple crossover operators could be an effective way to address this issue. This paper reports on the implementation of this idea, i.e. the use of two crossover operators in a decomposition-based multi-objective evolutionary algorithm, but not simultaneously. After each cycle, the operator which has helped produce the better offspring is rewarded. This means that the overall algorithm uses a dynamic resource allocation to reward the better of the crossover operators in the optimization process. The operators used are the Simplex Crossover operator (SPX) and the Center of Mass Crossover operator (CMX). We report experimental results that show that this innovative use of two crossover operators improves the algorithm performance on standard test problems. Results on the sensitivity of the suggested algorithm to key parameters such as population size, neighborhood size and maximum number of solutions to be altered for a given subproblem in the the decomposition process are also included.     

A high performance genetic algorithm using bacterial conjugation operator (HPGA)

In this paper an efficient evolutionary algorithm is proposed which could be applied to real-time problems such as robotics applications. The only parameter of the proposed algorithm is the “Population Size” which makes the proposed algorithm similar to parameter-less algorithms, and the only operator applied during the algorithm execution is the bacterial conjugation operator, which makes using and implementation of the proposed algorithm much easier. The procedure of the bacterial conjugation operator used in this algorithm is different from operators of the same name previously used in other evolutionary algorithms such as the pseudo bacterial genetic algorithm or the microbial genetic algorithm. For a collection of 23 benchmark functions and some other well-known optimization problems, the experimental results show that the proposed algorithm has better performance when compared to particle swarm optimization and a simple genetic algorithm.     

Hybrid adaptive evolutionary algorithm based on decomposition

The performance of search operators varies across the different stages of the search/optimization process of evolutionary algorithms (EAs). In general, a single search operator may not do well in all these stages when dealing with different optimization and search problems. To mitigate this, adaptive search operator schemes have been introduced. The idea is that when a search operator hits a difficult patch (under-performs) in the search space, the EA scheme “reacts” to that by potentially calling upon a different search operator. Hence, several multiple-search operator schemes have been proposed and employed within EA. In this paper, a hybrid adaptive evolutionary algorithm based on decomposition (HAEA/D) that employs four different crossover operators is suggested. Its performance has been evaluated on the well-known IEEE CEC’09 test instances. HAEA/D has generated promising results which compare well against several well-known algorithms including MOEA/D, on a number of metrics such as the inverted generational distance (IGD), the hyper-volume, the Gamma and Delta functions. These results are included and discussed in this paper.     

AORCEA – An adaptive operator rate controlled evolutionary algorithm

When applying evolutionary algorithms to optimization problems many different strategy parameters have to be set to define the behavior of the evolutionary algorithm itself. To a certain extent these strategy parameter values determine whether the algorithm is capable of finding a near-optimum solution or not. In particular the choice of the different genetic operators and their relative rates is most often based on experience. Furthermore, the operator rates are defined before starting the optimization runs and remain unchanged until the stopping criterion is reached. Controlling the parameter values during the run has the potential of adjusting the algorithm to the problem while solving the problem. This paper investigates an adaptive strategy controlling the rates of arbitrary chosen genetic operators. The control mechanism is based on the state of the optimization by evaluating a success and a diversity measure for each operator. More efficient operators are favored in order to find better solutions with less evaluations. The algorithm is tested with constrained and unconstrained numerical examples and a concrete structural optimization problem is treated.     

Evolutionary programming using a mixed mutation strategy

Different mutation operators have been proposed in evolutionary programming, but for each operator there are some types of optimization problems that cannot be solved efficiently. A mixed strategy, integrating several mutation operators into a single algorithm, can overcome this problem. Inspired by evolutionary game theory, this paper presents a mixed strategy evolutionary programming algorithm that employs the Gaussian, Cauchy, Lévy, and single-point mutation operators. The novel algorithm is tested on a set of 22 benchmark problems. The results show that the mixed strategy performs equally well or better than the best of the four pure strategies does, for all of the benchmark problems.     

一种改进的求解TSP问题的演化算法

演化算法是解决组合优化问题的高效搜索算法．该文在现有求解TSP问题的演化算法的基础上,通过引入映射算子、优化算子以及增加一些控制策略,提出了一种高效的演化搜索算法．实验表明,该算法是有效的,通过对CHN144以及国际通用的TSPLIB中不同城市规模的数据进行测试表明,其中实例CHN144得到的最短路径为30353．860997,优于吴斌等运用分段算法得到的最短路径30354．3,亦优于朱文兴等人的结果,实例st70和kroB150得到的最短路径分别与运用分段算法得到的最短路径值相同,实例pr136得到的最短路径值为96770．924122,优于TSPLIB中提供的最短路径96772,对于其它实例也均能快速地得到和TSPLIB中提供的最优路径相同或更优的路径,该算法不仅很容易收敛到问题的最优解,而且求解速度极快．     

基于双重贡献分配的多目标混合算子进化算法

针对多目标混合算子进化算法中各算子有效选择的自适应问题,提出一种基于双重贡献分配的多目标混合算子进化算法(DCA-MOEA/D).首先,将两种现有的进化算子与两种基于方向引导的差分进化组成算子池,每代个体以轮盘赌的方式从中选择一种进化算子产生子代;然后,根据子代的表现,结合两种方法为各算子分配贡献值,从而确定算子的选择...     

一种基于近邻策略求TSP问题的改进演化算法

针对贪心演化算法(GEA)在旅行商问题中存在的求解规模小、成功率低的缺点,引入Inver-over倒异算子、贪心算子,改进近邻优化、映射算子、变异算子等策略,提出一种新的改进演化算法来求解中等规模旅行商问题(TSP)。通过仿真实验,验证了该进化算法收敛速度快、求解成功率高的优点,稳定性也更好。     

一种新的混合杂交方法及其在约束优化中的应用

为进一步提高基于混合杂交与间歇变异的约束优化演化算法的求解性能,提出了一种新的混合杂交方法。该方法主要是在混合算术杂交算子中引入离散均匀重组算子,并组成一个离散——算术混合杂交算子网,其中离散均匀重组算子起到协助调整子代分布、增强混合算术杂交算子局部搜索能力的作用。数值实验和比较表明所提的混合杂交方法可有效改善算法求解不等式约束优化问题的性能。     

An experimental study of adaptive control for evolutionary algorithms

In this paper, we investigate how adaptive operator selection techniques are able to efficiently manage the balance between exploration and exploitation in an evolutionary algorithm, when solving combinatorial optimization problems. We introduce new high level reactive search strategies based on a generic algorithm's controller that is able to schedule the basic variation operators of the evolutionary algorithm, according to the observed state of the search. Our experiments on SAT instances show that reactive search strategies improve the performance of the solving algorithm.