混沌优化的仿射尺度搜索算法研究

为了求解单目标线性规划问题,提出了基于混沌优化（COA）算法的仿射尺度搜索（AFS）算法,即混沌AFS算法。使用混沌优化算法以迭代方式从随机初始点中得到优化的初始点;将得到的初始解点作为仿射尺度搜索算法的起始点来提高仿射尺度搜索算法的性能;通过搜索单目标线性规划决策变量域得到可行的近似最优解。实验结果表明,相比传统的AFS算法,在求解单目标线性优化问题时所提混沌AFS算法明显降低了目标值的偏差,同时大大地减少了迭代次数及CPU运行时间。     

混沌优化算法及其在组合优化问题中的应用

混沌优化方法(COA)是针对数值优化问题提出的,在解决数值优化问题上具有一定的普遍性,能够很快地搜索到全局最优解,而利用COA解决组合优化问题存在一定的难度,该文提出了混沌优化算法解决组合优化问题的方法,该方法先产生组合优化问题的初始解,再利用混沌变量产生新解或对原解进行混沌扰动,产生新解,然后在解空间中进行最优搜索。将该方法应用到2个典型的组合优化问题(TSP问题,0/1背包问题)的求解中,仿真实验表明了该方法的有效性。     

Parallel chaos optimization algorithm with migration and merging operation

Chaos optimization algorithm (COA) utilizes the chaotic maps to generate the pseudo-random sequences mapped as the decision variables for global optimization applications. A kind of parallel chaos optimization algorithm (PCOA) has been proposed in our former studies to improve COA. The salient feature of PCOA lies in its pseudo-parallel mechanism. However, all individuals in the PCOA search independently without utilizing the fitness and diversity information of the population. In view of the limitation of PCOA, a novel PCOA with migration and merging operation (denoted as MMO-PCOA) is proposed in this paper. Specifically, parallel individuals are randomly selected to be conducted migration and merging operation with the so far parallel solutions. Both migration and merging operation exchange information within population and produce new candidate individuals, which are different from those generated by stochastic chaotic sequences. Consequently, a good balance between exploration and exploitation can be achieved in the MMO-PCOA. The impacts of different one-dimensional maps and parallel numbers on the MMO-PCOA are also discussed. Benchmark functions and parameter identification problems are used to test the performance of the MMO-PCOA. Simulation results, compared with other optimization algorithms, show the superiority of the proposed MMO-PCOA algorithm.     

摸石头过河算法与分布估计混合算法

依据摸石头过河算法与分布估计算法的优点,提出了一种混合算法。该算法以一个解为起点,向该起点附近邻域随机搜索若干个解,找出这些解中最好的一个解;并挑选部分优秀个体的中心与最好解进行交叉操作,以此解作为下次迭代的结果,然后以此点为起点,再向附近邻域随机搜索若干个解,以此类推。对几个经典测试函数进行实验的结果表明,利用摸石头过河与分布估计算法能够极大地提高收敛速度和精度。     

面向结构的基于学习的规划方法

近年来,规划中的学习问题重新受到了关注.如何通过学习机制改善现有规划器,使其能够可靠而令人信服地超越现有非学习的规划器的能力,仍然是一个尚未解决的难题.提出了面向规划问题和解的结构的基于学习的规划技术.该方法将先验知识表示成“子问题-规划片段”的形式.每次规划器成功找到解以后,根据问题的初始状态和目标状态,构造规划对象的初始子状态和目标子状态,构成子问题,并从规划解中抽取该子问题对应的规划片段.这些先验知识将被唯一记录并保存成先验知识库.新问题的求解首先从先验知识库中检索与当前求解问题相关的先验知识;然后,将这些先验知识经过例化、合并步骤后编码成句子;最后,将这些句子连同问题编码得到的句子作为SAT 求解器的输入,实现最终解的确定.实验使用了IPC 中的基准测试例子进行测试.实验结果表明,SOLP 算法求解速度与传统非学习的规划器相比具有明显优势,最佳情况下可达约80%的效率提升.     

Modified cuckoo optimization algorithm (MCOA) to solve graph coloring problem

In recent years, various heuristic optimization methods have been developed. Many of these methods are inspired by swarm behaviors in nature, such as particle swarm optimization (PSO), firefly algorithm (FA) and cuckoo optimization algorithm (COA). Recently introduced COA, has proven its excellent capabilities, such as faster convergence and better global minimum achievement. In this paper a new approach for solving graph coloring problem based on COA was presented. Since COA at first was presented for solving continuous optimization problems, in this paper we use the COA for the graph coloring problem, we need a discrete COA. Hence, to apply COA to discrete search space, the standard arithmetic operators such as addition, subtraction and multiplication existent in COA migration operator based on the distance's theory needs to be redefined in the discrete space. Redefinition of the concept of the difference between the two habitats as the list of differential movements, COA is equipped with a means of solving the discrete nature of the non-permutation. A set of graph coloring benchmark problems are solved and its performance is compared with some well-known heuristic search methods. The obtained results confirm the high performance of the proposed method.     

混沌免疫优化组合算法

利用混沌迭代的遍历性和内在随机性。提出一种混沌免疫优化组合算法．该算法综合了免疫进化算法和混沌优化算法各自的空间搜索优势,将混沌变量加载于免疫算法的变量群体．利用混沌搜索的特点对记忆库群体进行微小扰动,并逐步调整扰动幅度．实验结果表明,该算法能明显改善免疫进化算法的收敛性能,搜索效率也得到了显著提高．     

A hybrid particle swarm algorithm with artificial immune learning for solving the fixed charge transportation problem

Fixed Charge Transportation Problem (FCTP) is an NP-hard problem with many applications in both traditional and modern industrial situations. This paper introduces a Hybrid Particle Swarm algorithm with artificial Immune Learning (HPSIL) for solving fixed FCTPs. In HPSIL algorithm a flexible particle (chromosome) structure, decoding procedure and allocation procedure are used instead of a Prüfer number and a spanning tree that used with genetic algorithms. The proposed allocation procedure guarantees finding a feasible solution for each generated particle. The HPSIL algorithm can be used for solving both balanced and unbalanced FCTPs without introducing dummy supplier or dummy demand. With regard to solution quality, the HPSIL algorithm can be considered as a viable alternative for solving FCTPs in addition to the recent algorithms.     

Modified Cuckoo Optimization Algorithm (MCOA) to solve Precedence Constrained Sequencing Problem (PCSP)

In recent years, new meta-heuristic algorithms have been developed to solve optimization problems. Recently-introduced Cuckoo Optimization Algorithm (COA) has proven its excellent performance to solve different optimization problems. Precedence Constrained Sequencing Problem (PCSP) is related to locating the optimal sequence with the shortest traveling time among all feasible sequences. The problem is motivated by applications in networks, scheduling, project management, logistics, assembly flow and routing. Regarding numerous practical applications of PCSP, it can be asserted that PCSP is a useful tool for a variety of industrial planning and scheduling problems. However it can also be seen that the most approaches may not solve various types of PCSPs and in related papers considering definite conditions, a model is determined and solved. In this paper a new approach is presented for solving various types of PCSPs based on COA. Since COA at first was introduced to solve continuous optimization problems, in order to demonstrate the application of COA to find the optimal sequence of the PCSP, some proposed schemes have been applied in this paper with modifications in operators of the basic COA. In fact due to the discrete nature and characteristics of the PCSP, the basic COA should be modified to solve PSCPs. To evaluate the performance of the proposed algorithm, at first, an applied single machine scheduling problem from the literature that can be formulated as a PCSP and has optimal solution is described and solved. Then, several PCSP instances with different sizes from the literature that do not have optimal solutions are solved and results are compared to the algorithms of the literature. Computational results show that the proposed algorithm has better performance compared to presented well-known meta-heuristic algorithms presented to solve various types of PCSPs so far.     

混沌遗传算法及其在函数优化中的应用

将混沌优化和遗传算法结合起来,提出了混沌遗传算法(CGA,Chaos Genetic Algorithm),并将其应用于函数优化问题的求解。通过在种群进化的不同阶段引入混沌优化操作,大大提升了遗传算法的整体性能。实验结果表明,与标准遗传算法(SGA)相比,该算法能更有效地求得全局最优解,具有更快的收敛速度。     

Hybrid parallel chaos optimization algorithm with harmony search algorithm

The application of chaotic sequences can be an interesting alternative to provide search diversity in an optimization procedure, named chaos optimization algorithm (COA). Since the chaotic motion is pseudo-randomness and chaotic sequences are sensitive to the initial conditions, the search ability of COA is usually effected by the starting values. Considering this weakness, parallel chaos optimization algorithm (PCOA) is studied in this paper. To obtain optimum solution accurately, harmony search algorithm (HSA) is integrated with PCOA to form a novel hybrid algorithm. Different chaotic maps are compared and the impacts of parallel parameter on the hybrid algorithm are discussed. Several simulation results are used to show the effective performance of the proposed hybrid algorithm.     

结合头脑风暴优化的混合蚁群优化算法

特征选择能够有效提升数据分类的性能。为了进一步提升蚁群优化（ACO）在特征选择上的求解能力,提出一种结合头脑风暴优化的混合蚁群优化（ABO）算法。该算法利用信息交流档案维护历史较好解,并通过基于松弛因子的时间最久优先方法动态更新档案。当ACO的全局最优解多次未更新时,采用基于Fuch混沌映射方法的路径-想法转换算子将档案中的路径解转换为想法解,并将其作为初始种群,通过头脑风暴优化（BSO）在更广阔的空间中搜索较好解。对所提算法在6组典型的二分类数据集上进行实验,分析了其参数敏感性,并与混合萤火虫粒子群优化（HFPSO）算法、粒子群优化与引力搜索算法（PSOGSA）以及遗传算法（GA） 这三种典型的演化算法进行对比。实验结果表明,相较于对比算法,所提算法在分类正确率上至少可提高2.88%~5.35%,在F1指标上至少可提高0.02~0.05,验证了所提算法的有效性和优越性。     

基于CPSO的无线传感器网络路由优化

研究无线传感器网络路由优化问题,由于无线传感器节点的能量受到限制,通信过程能量损耗,影响网络的性能。传统粒子群算法难以获得最优网络路由方案。为延长网络生存时间,结合粒子群的快速性和混沌的遍历性优点,提出了一种混沌粒子群(CPSO)的无线网络路由优化方法。通过粒子群算法的自组织、动态寻优能力,并通过混沌机制对粒子群进行混沌扰动,增加多样性,加快最优路由优化速度,使网络最优路由和能量消耗间尽量平衡。仿真结果表明,相对于传统优化算法,CPSO提高了无线传感器网络路由优化速度,减少网络能量消耗,有效延长了网络生存时间,为提高整个网络通信效率提供了参考。     

求解旅行商问题的多尺度量子自由粒子优化算法

针对目前元启发式算法在求解组合优化问题中的旅行商问题(TSP)时求解缓慢的问题,受量子理论中波函数的启发提出一种多尺度自适应的量子自由粒子优化算法。首先,在可行域中随机初始化表示城市序列的粒子,作为初始的搜索中心;然后,以每个粒子为中心进行当前尺度下的均匀分布函数的采样,并交换采样位置上的城市编号产生新解;最后,根据新解相较上一次迭代中最优解的优劣进行搜索尺度的自适应调整,并在不同的尺度下进行迭代搜索直到满足算法结束条件。将该算法和混合粒子群优化(HPSO)算法、模拟退火(SA)算法、遗传算法(GA)和蚁群优化算法应用在TSP上进行性能测试,实验结果表明自由粒子模型算法适合求解组合优化问题,在TSP数据集上相比目前较优算法在求解速度上平均提升50%以上。     

基于CGACO的多重分类准则模型优化研究

为提高供应链物流管理服务水平,基于帕累托定律,运用规范列平均法和优化理论建立了基于多重分类准则模型。通过有效利用混沌遗传和蚁群优化算法在组合优化中的优势,给出了混沌遗传蚁群优化算法,采用混沌搜索优化初始群体、修正变异算子、蚁群算法寻优优化、改进相关参数等实现了两种算法的有机集成。物流案例实证表明了混沌遗传蚁群算法在解决多重分类准则优化模型方面的有效性。     

基于多策略融合的混合多目标蝗虫优化算法

为提高蝗虫优化算法（GOA）求解多目标问题的性能，提出一种基于多策略融合的混合多目标蝗虫优化算法（HMOGOA）。首先，利用Halton序列建立初始种群，保证种群在初始阶段具有均匀分布和较高多样性；然后，通过差分变异算子引导种群变异，促进种群向优势个体移动同时进行更大范围寻优；最后，利用自适应权重因子根据种群优化情况动态调整算法全局搜索和局部寻优能力，提高优化效率及解集质量。选取7个典型函数进行实验测试，并将HMOGOA与多目标蝗虫优化、多目标粒子群（MOPSO）、基于分解的多目标进化（MOEA/D）及非支配排序遗传算法（NSGA Ⅱ）对比分析。实验结果表明，该算法避免了其他四种算法的局部最优问题，明显提高了解集分布均匀性和分布广度，具有更好的收敛精度和稳定性。     

基于多策略融合的混合多目标蝗虫优化算法

为提高蝗虫优化算法（GOA）求解多目标问题的性能,提出一种基于多策略融合的混合多目标蝗虫优化算法（HMOGOA）。首先,利用Halton序列建立初始种群,保证种群在初始阶段具有均匀分布和较高多样性;然后,通过差分变异算子引导种群变异,促进种群向优势个体移动同时进行更大范围寻优;最后,利用自适应权重因子根据种群优化情况动态调整算法全局搜索和局部寻优能力,提高优化效率及解集质量。选取7个典型函数进行实验测试,并将HMOGOA与多目标蝗虫优化、多目标粒子群（MOPSO）、基于分解的多目标进化（MOEA/D）及非支配排序遗传算法（NSGA Ⅱ）对比分析。实验结果表明,该算法避免了其他四种算法的局部最优问题,明显提高了解集分布均匀性和分布广度,具有更好的收敛精度和稳定性。     

灰狼与郊狼混合优化算法及其聚类优化

郊狼优化算法(Coyote optimization algorithm, COA)是最近提出的一种新颖且具有较大应用潜力的群智能优化算法,具有独特的搜索机制和能较好解决全局优化问题等优势,但在处理复杂优化问题时存在搜索效率低、可操作性差和收敛速度慢等不足.为弥补其不足,并借鉴灰狼优化算法(Grey wolf optimizer, GWO)的优势,提出了一种COA与GWO的混合算法(Hybrid COA with GWO, HCOAG).首先提出了一种改进的COA (Improved COA, ICOA),即将一种高斯全局趋优成长算子替换原算法的成长算子以提高搜索效率和收敛速度,并提出一种动态调整组内郊狼数方案,使得算法的搜索能力和可操作性都得到增强;然后提出了一种简化操作的GWO (Simplified GWO, SGWO),以提高算法的可操作性和降低其计算复杂度;最后采用正弦交叉策略将ICOA与SGWO二者融合,进一步获得更好的优化性能.大量的经典函数和CEC2017复杂函数优化以及K-Means聚类优化的实验结果表明,与COA相比, HCOAG具有更高的搜索效率、更强的可操作性和...     

基于改进鱼群算法的路径测试数据生成

针对自动化软件测试中测试数据自动化生成的问题,提出了一种基于人工鱼群算法的解空间搜索方案。为了提高人工鱼群算法的求解能力,在鱼群算法中引入混沌搜索机制。人工鱼群算法在每次迭代之后,将针对当前全局最优解进行局部混沌搜索,同时淘汰掉部分劣质个体;随后,根据种群的最佳个体收缩解空间搜索区域,并在该空间内随机产生部分新个体。最后,通过在两种三角形判定程序上的实验证明,该算法收敛速度快,求解精度高。     

电力系统经济负荷分配的混合粒子群优化算法

为解决电力系统中的经济负荷分配问题,提出一种将约束优化与粒子群优化算法相结合的混合算法,同时引入直接搜索方法。使得混合后的粒子群优化算法不但具有高效的全局搜索能力,而且具有较强的局部搜索能力,避免陷入局部最优,提高求解精度。对两个实例进行测试,与其他智能算法的结果比较,证明提出的算法可以有效找到可行解,避免陷入局部最优,实现问题的快速求解。