簇类特征城市群间的TSP问题研究

针对现实生活中旋行商问题(TSP)大量样本集一般具有呈区域分布的簇类特性,提出了一种基于平衡聚类的免疫遗传算法.首先分析了城市样本点的分布特征,采用平衡聚类算法将城市样本点聚成K个不同的类,并找出类与类之间的最短路径;然后采用免疫遗传算法得到类内部城市间的最短路径;最终得到全局最短路径.仿真试验证明,该算法明显提高了收敛速度.     

基于改进演化算法的最短路径问题研究

针对最短路径问题TSP(Traveling Salesman Problem)的求解时,传统算法收敛慢,且求得的路径并不是所有行程的最短路径。提出用智能演化算法来求解,并对算法的演化算子进行改进和对各参数进行优化设置。结合10个城市和30个城市的仿真实例,分别进行传统算法、演化算法以及改进的演化算法进行对比。计算机仿真结果表明:改进后的演化算法收敛速度快,收敛精度高,鲁棒性好,寻求的最短路径明显优于传统算法。     

基于演化计算的最短避障路径算法设计

在工程应用、自动化、人工智能等诸多领域中有很多数学模型可以归结为寻求最短避障路径的问题。在环境模型的表达上,该文利用最小多边形包络法处理过的障碍物,即把障碍物描述成为多边形。在搜索策略上,利用演化算法求解TSP的算法——改进的郭涛算法的思想。针对TSP问题和最短避障路径问题的不同,在染色体的有效范围和基因的选取范围等处对算法进行修改,并且引入了基因库,成功地用演化算法解决了最短避障路径问题。     

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．     

基于蛋白质相互作用网络的聚类算法研究

蛋白质相互作用网络是计算机科学技术的一个新研究领域。蛋白质相互作用网络中结点之间的距离度量需要通过基于网络的最短路径距离来重新定义,其计算代价高,这使得已有的基于欧几何距离的聚类算法不能直接运用到这种环境中。因此,通过蛋白质相互作用网络的特征提出了一种新的聚类算法。算法使用网络中的边和结点信息来缩减搜索空间,避免了一些不必要的距离计算。实验结果表明,算法对于真实的蛋白质相互作用网络中的结点聚类是高效的。     

基于类TSP问题模型的操作系统磁盘移动臂驱动调度算法

将操作系统磁盘移动臂驱动调度问题抽象为类TSP问题,使用动态规划的方法对类TSP问题模型进行求解,得到某一时刻操作系统响应多个I／O请求最优序列的方法。由此提出基于贪心法的操作系统磁盘移动臂驱动调度的全局调度策略,即最短路径优先调度算法,并将最短路径优先调度算法与现有经典算法进行比较。     

基于演化计算的最短避障路径算法设计

在研究求解TSP问题的演化算法(这里指GT算法)的基础上，针对TSP问题和最短避障路径问题的不同，在染色体的有效范围、基因选取等方面对GT算法进行改进，同时引入了基因库以提高算法收敛速度．试验结果表明，用GT算法能较好地求解最短避障路径。     

基于半边数据结构的最短路径算法及其实现

在分析传统最短路径算法数据结构的基础上,提出并实现了一种以半边数据结构存储网络拓扑数据的最短路径算法。该算法充分利用半边数据结构存储格式紧凑、操作直观高效等方面的优点,采用较传统方法不同的路径检索方式,实现了快速计算网络中任一结点到其他所有结点的最短路径。实验表明,基于半边数据结构的最短路径算法可以大幅度提高网络中最短路径的计算效率,其性能在网络结点显著增多时愈加明显。     

GIS中最短路径搜索算法

文章讨论了一种在GIS环境下的最短路径规划算法,它根据用户给出的起始结点与目标结点以及必经结点序列和避开结点序列在建立的搜索图基础上分段查找最短路径,最后生成满足用户约束条件的最短路径。     

基于分流算法的最短路径求解算法

在图论中,一般求最短路径都是通过比较各种可能的路径后而得到的,基本上都是按树的回溯方式求得,算法耗时长。分流算法将路径长度比较转化为等速同时发出的水流的速度比较,用Agent实现水流,让从开始结点出发生成的各水流同时流动,经过最短路径的水流将最先到达最终结点,结果用最短的时间获得最短路径。理论和实践都表明该算法是求最短路径的有效方法。     

A clustering-ranking method for many-objective optimization

In evolutionary multi-objective optimization, balancing convergence and diversity remains a challenge and especially for many-objective (three or more objectives) optimization problems (MaOPs). To improve convergence and diversity for MaOPs, we propose a new approach: clustering-ranking evolutionary algorithm (crEA), where the two procedures (clustering and ranking) are implemented sequentially. Clustering incorporates the recently proposed non-dominated sorting genetic algorithm III (NSGA-III), using a series of reference lines as the cluster centroid. The solutions are ranked according to the fitness value, which is considered to be the degree of closeness to the true Pareto front. An environmental selection operation is performed on every cluster to promote both convergence and diversity. The proposed algorithm has been tested extensively on nine widely used benchmark problems from the walking fish group (WFG) as well as combinatorial travelling salesman problem (TSP). An extensive comparison with six state-of-the-art algorithms indicates that the proposed crEA is capable of finding a better approximated and distributed solution set.     

Evolutionary algorithm with a directional local search for multiobjective optimization in combinatorial problems

Evolutionary algorithms (EAs) are often employed to multiobjective optimization, because they process an entire population of solutions which can be used as an approximation of the Pareto front of the tackled problem. It is a common practice to couple local search with evolutionary algorithms, especially in the context of combinatorial optimization. In this paper a new local search method is proposed that utilizes the knowledge concerning promising search directions. The proposed method can be used as a general framework and combined with many methods of iterating over a neighbourhood of an initial solution as well as various decomposition approaches. In the experiments the proposed local search method was used with an EA and tested on 2-, 3- and 4-objective versions of two well-known combinatorial optimization problems: the travelling salesman problem (TSP) and the quadratic assignment problem (QAP). For comparison two well-known local search methods, one based on Pareto dominance and the other based on decomposition, were used with the same EA. The results show that the EA coupled with the directional local search yields better results than the same EA coupled with any of the two reference methods on both the TSP and QAP problems.     

Hybridization of evolutionary algorithms and local search by means of a clustering method.

This paper presents a hybrid evolutionary algorithm (EA) to solve nonlinear-regression problems. Although EAs have proven their ability to explore large search spaces, they are comparatively inefficient in fine tuning the solution. This drawback is usually avoided by means of local optimization algorithms that are applied to the individuals of the population. The algorithms that use local optimization procedures are usually called hybrid algorithms. On the other hand, it is well known that the clustering process enables the creation of groups (clusters) with mutually close points that hopefully correspond to relevant regions of attraction. Local-search procedures can then be started once in every such region. This paper proposes the combination of an EA, a clustering process, and a local-search procedure to the evolutionary design of product-units neural networks. In the methodology presented, only a few individuals are subject to local optimization. Moreover, the local optimization algorithm is only applied at specific stages of the evolutionary process. Our results show a favorable performance when the regression method proposed is compared to other standard methods.     

An interactive simulation and analysis software for solving TSP using Ant Colony Optimization algorithms

Traveling salesman problem (TSP) is one of the extensively studied combinatorial optimization problems and tries to find the shortest route for salesperson which visits each given city precisely once. Ant colony optimization (ACO) algorithms have been used to solve many optimization problems in various fields of engineering. In this paper, a web-based simulation and analysis software (TSPAntSim) is developed for solving TSP using ACO algorithms with local search heuristics. Algorithms are tested on benchmark problems from TSPLIB and test results are presented. Importance of TSPAntSim providing also interactive visualization with real-time analysis support for researchers studying on optimization and people who have problems in form of TSP is discussed.     

A hybrid approach for data clustering based on modified cohort intelligence and K-means

Clustering is an important and popular technique in data mining. It partitions a set of objects in such a manner that objects in the same clusters are more similar to each another than objects in the different cluster according to certain predefined criteria. K-means is simple yet an efficient method used in data clustering. However, K-means has a tendency to converge to local optima and depends on initial value of cluster centers. In the past, many heuristic algorithms have been introduced to overcome this local optima problem. Nevertheless, these algorithms too suffer several short-comings. In this paper, we present an efficient hybrid evolutionary data clustering algorithm referred to as K-MCI, whereby, we combine K-means with modified cohort intelligence. Our proposed algorithm is tested on several standard data sets from UCI Machine Learning Repository and its performance is compared with other well-known algorithms such as K-means, K-means++, cohort intelligence (CI), modified cohort intelligence (MCI), genetic algorithm (GA), simulated annealing (SA), tabu search (TS), ant colony optimization (ACO), honey bee mating optimization (HBMO) and particle swarm optimization (PSO). The simulation results are very promising in the terms of quality of solution and convergence speed of algorithm.     

演化算法求解TSP问题的最新进展

TSP是一个著名的NP-hard问题.对近期出现的一些新的求解TSP问题的演化算法进行了比较全面的综述.其中有一类算法属于郭涛算法及其相应的改进算法,能够得到比传统演化算法更好的解,还有一类采用了实数编码的染色体表示方式,对求解TSP问题的新的染色体表示方式进行了尝试,还有的属于并行演化算法,通过增加并行进程的方式能够在原有算法的基础上得到更好的解.在综述这些算法的同时,还对比了它们的求解能力.最终的目的是希望通过对上述算法的研究,得到更合理的算法,推动演化算法研究TSP问题的进程.     

Effective Linkage Learning Using Low-Order Statistics and Clustering

The adoption of probabilistic models for selected individuals is a powerful approach for evolutionary computation. Probabilistic models based on high-order statistics have been used by estimation of distribution algorithms (EDAs), resulting better effectiveness when searching for global optima for hard optimization problems. This paper proposes a new framework for evolutionary algorithms, which combines a simple EDA based on order 1 statistics and a clustering technique in order to avoid the high computational cost required by higher order EDAs. The algorithm uses clustering to group genotypically similar solutions, relying that different clusters focus on different substructures and the combination of information from different clusters effectively combines substructures. The combination mechanism uses an information gain measure when deciding which cluster is more informative for any given gene position, during a pairwise cluster combination. Empirical evaluations effectively cover a comprehensive range of benchmark optimization problems.      

A survey: hybrid evolutionary algorithms for cluster analysis

Clustering is a popular data analysis and data mining technique. It is the unsupervised classification of patterns into groups. Many algorithms for large data sets have been proposed in the literature using different techniques. However, conventional algorithms have some shortcomings such as slowness of the convergence, sensitive to initial value and preset classed in large scale data set etc. and they still require much investigation to improve performance and efficiency. Over the last decade, clustering with ant-based and swarm-based algorithms are emerging as an alternative to more traditional clustering techniques. Many complex optimization problems still exist, and it is often very difficult to obtain the desired result with one of these algorithms alone. Thus, robust and flexible techniques of optimization are needed to generate good results for clustering data. Some algorithms that imitate certain natural principles, known as evolutionary algorithms have been used in a wide variety of real-world applications. Recently, much research has been proposed using hybrid evolutionary algorithms to solve the clustering problem. This paper provides a survey of hybrid evolutionary algorithms for cluster analysis.     

On tolerant fuzzy c-means clustering and tolerant possibilistic clustering

This paper presents two new types of clustering algorithms by using tolerance vector called tolerant fuzzy c-means clustering and tolerant possibilistic clustering. In the proposed algorithms, the new concept of tolerance vector plays very important role. The original concept is developed to handle data flexibly, that is, a tolerance vector attributes not only to each data but also each cluster. Using the new concept, we can consider the influence of clusters to each data by the tolerance. First, the new concept of tolerance is introduced into optimization problems. Second, the optimization problems with tolerance are solved by using Karush–Kuhn–Tucker conditions. Third, new clustering algorithms are constructed based on the optimal solutions for clustering. Finally, the effectiveness of the proposed algorithms is verified through numerical examples and its fuzzy classification function.     

多源基因学习的微种群教与学优化及应用

由于微种群教与学优化算法的种群规模较小, 故其种群多样性很难维持. 为提高微种群教与学优化算法的搜索性能, 提出了一种基于多源基因学习的微种群教与学优化算法(micro-population teaching-learning-based optimization based on multi-source gene learning, MTLBO-MGL). 在MTLBO-MGL算法中, 将教阶段和学阶段根据随机选择策略来对个体进行基因水平上的进化操作; 并从基因层面上对种群多样性进行检测和使用稀疏谱聚类方法对种群的每个维度进行聚类. 然后, 根据多样性检测和聚类结果, 选择不同的进化策略来提高所提算法的搜索性能. 在28个测试函数上, 通过将所提算法与其他4种微种群进化算法作对比, 证明了所提算法的整体性能要显著好于所对比的4种算法. 本文还将所提算法应用于无人机三维路径规划问题, 结果表明MTLBO-MGL算法能够在该问题上取得较好结果.