An evolutionary approach to generalized biobjective traveling salesperson problem

We consider the generalized biobjective traveling salesperson problem, where there are a number of nodes to be visited and each node pair is connected by a set of edges. The final route requires finding the order in which the nodes are visited (tours) and finding edges to follow between the consecutive nodes of the tour. We exploit the characteristics of the problem to develop an evolutionary algorithm for generating an approximation of nondominated points. For this, we approximate the efficient tours using approximate representations of the efficient edges between node pairs in the objective function space. We test the algorithm on several randomly-generated problem instances and our experiments show that the evolutionary algorithm approximates the nondominated set well.     

基于遗传算法的多旅行商问题研究

针对所有旅行商路径总和最小为优化标准的多旅行商一类问题,用遗传算法优化,并提出了矩阵解码方法。对距离非对称的多旅行商问题的实例进行了仿真,并对不同交叉算子性能进行了比较。结果表明,该算法是有效的,适用于距离对称和非对称的多旅行商问题求解。     

基于递阶遗传算法的多旅行商问题优化

旅行商问题是一个经典的NP问题,对多人旅行商问题的求解则更具有意义。为了解决所有旅行商路径总和最小为优化标准的多旅行商一类问题,提出了一种递阶遗传算法和矩阵解码方法。该算法根据问题的特点,采用一种递阶编码方案,此编码与多旅行商问题一一对应。用递阶遗传算法优化多旅行商问题无须设计专门的遗传算子,操作简单,并且解码方法适于求解距离对称和距离非对称的多旅行商问题。计算结果表明,递阶遗传算法是有效的,能适用于优化多旅行商问题。     

求解旅行商问题的一个改进的遗传算法

利用遗传算法求解TSP问题,通常需要使用PCX,CX和OX等特殊的交叉算子以提高算法的运行效率。针对自然数编码的方式,提出一种改进的遗传算法,即改进传统的顺序交叉算子,进行不相同子排列顺序交叉,使子代继承父代中优秀的子排列,加快算法的收敛速度。另外,采用没有重复的稳态繁殖避免早熟。实验结果表明,此改进算法对于TSP和DHC问题均具有较好的性能。     

基于遗传算法的一类多旅行商问题研究

旅行商问题是一个经典的NP完全问题,对多人旅行商问题的求解则更具有意义。以往对求解多人旅行商问题的研究局限于以所有旅行商路径总和最小为优化标准,而对所有旅行商路径最大值最小的多旅行商一类问题研究的相对较少。针对所有旅行商路径最大值最小的多旅行商一类问题,用遗传算法优化,并且提出了矩阵解码方法。该方法适于距离对称和非对称的多旅行商问题求解。以距离非对称的多旅行商问题的实例进行了仿真,并对不同交叉算子性能进行了比较。     

A hybrid grouping genetic algorithm for the cell formation problem

The machine-part cell formation problem consists of constructing a set of machine cells and their corresponding product families with the objective of minimizing the inter-cell movement of the products while maximizing machine utilization. This paper presents a hybrid grouping genetic algorithm for the cell formation problem that combines a local search with a standard grouping genetic algorithm to form machine-part cells. Computational results using the grouping efficacy measure for a set of cell formation problems from the literature are presented. The hybrid grouping genetic algorithm is shown to outperform the standard grouping genetic algorithm by exceeding the solution quality on all test problems and by reducing the variability among the solutions found. The algorithm developed performs well on all test problems, exceeding or matching the solution quality of the results presented in previous literature for most problems.     

指针网络改进遗传算法求解旅行商问题

虽然遗传算法相较于其他算法能够更好地求解旅行商问题,但这种算法在使用的过程中容易陷入局部最优的问题,进而导致问题求解遭遇困境。文章在简要介绍旅行商问题的基础上,介绍了遗传算法求解旅行商问题的思路和方法,并明确算法应用中存在的不足。在此基础上提出基于指针网络改进遗传算法求解旅行商问题的新思路,为弥补遗传算法的缺陷提供相应的原理支持。     

A hybrid genetic-variable neighborhood search algorithm for the cell formation problem based on grouping efficacy

Cell formation problem attempts to group machines and part families in dedicated manufacturing cells such that the number of voids and exceptional elements in cells are minimized. In this paper, we presented a linear fractional programming model with the objective of maximizing the grouping efficacy while the number of cells is unknown. To show the effectiveness of the proposed model, two test problems were applied. Then, to solve the model for real-sized applications, a hybrid meta-heuristic algorithm in which genetic algorithm and variable neighborhood search are combined. Using the grouping efficacy measure, we have also compared the performance of the proposed algorithm on a set of 35 test problems from the literature. The results show that the proposed GA-VNS method outperforms the state-of-the-art algorithms.     

四点三线遗传算法求解旅行商问题

为解决NP完全的旅行商问题,提出一种四点三线遗传算法。该算法特色在两阶段策略,第一阶段是变异算子优化,将汉密尔顿环中所有大于两点的内部路径倒置,并用新极值代替原极值。第二阶段是四点三线优化,将汉密尔顿环分为n个四点三线局部路径并将每个局部路径转化为最优局部路径,将所有局部路径长度求和除以1/3。交叉算子结束后,如子代含有重复位点,将未交叉部分重复位点与交叉部分重复位点对应的父代等位点交换。通过将该算法与传统遗传算法及只进行第一步优化的遗传算法进行比较,采用TSPLIB数据库实例数据,证明该算法有更高的执行效率,有更强的收敛性,适合寻找最短TSP路径。     

蚁群遗传混合算法

提出了一种蚁群系统与遗传算法融合的算法。将遗传算法加入到蚁群系统的每一次迭代过程中,利用遗传算法全局快速收敛的优点,来加快蚁群系统的收敛速度。并且遗传算法中的变异机制,帮助提高了蚁群系统跳出局部最优的能力。不仅阐述了新算法的原理,而且以旅行商问题为例进行了仿真实验,实验结果表明新算法在求解时间和求解质量上都取得了很好的效果     

求解非连通图旅行商问题的改进遗传算法

为了克服传统遗传算法的早熟收敛问题,提出改进遗传算法。采用基于旅行商遍历城市顺序的染色体编码,结合随机法与贪心法生成初始种群,提高遗传效率。通过执行优先保留交叉和平移变异操作,引入局部邻域搜索,给出最优解是否满足非连通约束的判据。最后,实验结果验证了该算法的有效性。     

A swarm intelligence approach to the quadratic minimum spanning tree problem

The quadratic minimum spanning tree problem (Q-MST) is an extension of the minimum spanning tree problem (MST). In Q-MST, in addition to edge costs, costs are also associated with ordered pairs of distinct edges and one has to find a spanning tree that minimizes the sumtotal of the costs of individual edges present in the spanning tree and the costs of the ordered pairs containing only edges present in the spanning tree. Though MST can be solved in polynomial time, Q-MST is NP-Hard. In this paper we present an artificial bee colony (ABC) algorithm to solve Q-MST. The ABC algorithm is a new swarm intelligence approach inspired by intelligent foraging behavior of honey bees. Computational results show the effectiveness of our approach.     

A novel grouping harmony search algorithm for the multiple-type access node location problem

In this paper we present a novel grouping harmony search algorithm for the Access Node Location Problem (ANLP) with different types of concentrators. The ANLP is a NP-hard problem where a set of distributed terminals, with distinct rate demands, must be assigned to a variable number of concentrators subject to capacity constraints. We consider the possibility of choosing between different concentrator models is given in order to provide service demand at different cost. The ANLP is relevant in communication networks design, and has been considered before within the design of MPLS networks, for example. The approach we propose to tackle the ANLP problem consists of a hybrid Grouping Harmony Search (GHS) algorithm with a local search method and a technique for repairing unfeasible solutions. Moreover, the presented scheme also includes the adaptation of the GHS to a differential scheme, where each proposed harmony is obtained from the same harmony in the previous iteration. This differential scheme is perfectly adapted to the specifications of the ANLP problem, as it utilizes the grouping concept based on the proximity between nodes, instead of being only based on the grouping concept. This allows for a higher efficiency on the searching process of the algorithm. Extensive Monte Carlo simulations in synthetic instances show that this proposal provides faster convergence rate, less computational complexity and better statistical performance than alternative algorithms for the ANLP, such as grouping genetic algorithms, specially when the size of the scenario increases. We also include practical results for the application of GHS to a real wireless network deployment problem in Bizkaia, northern Spain.     

求解最小比率旅行商问题的离散蝙蝠算法

研究了以总路程与总收益之比为目标函数的最小比率旅行商问题,提出了求解该问题的离散蝙蝠算法。介绍了蝙蝠算法的基本思想,重新定义了位置与位置的减法操作算子、实数与位置的乘法操作算子以及速度与位置的加法操作算子,引入了城市子序列逆序策略来对线路进行局部搜索。给出了算法的具体实现方案,并通过仿真和比较实验验证算法的优化性能,实验结果表明该算法可以有效求解最小比率旅行商问题。     

分组遗传算法优化大学考试时间表

大学考试时间表是一个多约束条件下的优化问题。传统遗传算法寻优的计算量是指数级的规模,而寻优的操作有可能会破坏时间表的硬约束条件,从而最终得到的解并不一定理想甚至不可行。该文从某高校的实际应用出发,对用图着色模型得到的已经满足了硬约束条件的初始考试时间表,用改进的分组遗传算法在既不破坏硬约束条件也不延长考试周的条件下扩大并平均分配了学生的复习时间,并且还大大减少了寻优的计算量。     

A genetic algorithm approach to the multiple machine tool selection problem

A number of earlier researches have emphasized the on-the-job scheduling problems that occur with a single flexible machine. Two solutions to the problem have generally been considered; namely minimization of tool switches and minimization of tool switching instances. Methods used to solve the problems have included KTNS heuristic, dual-based relaxation heuristic, and non-LP-based branch-and-bound methods. However, scant literature has considered the case of job scheduling on multiple parallel machines which invokes another problem involving machine assignment. This paper addresses the problem of job scheduling and machine assignment on a flexible machining workstation (FMW) equipped with multiple parallel machines in a tool-sharing environment. Under these circumstances, the authors have attempted to model the problem with the objective of simultaneously minimizing both the number of tool switches and the number of tool switching instances. Furthermore, a set of realistic constraints has been included in the investigation. A novel genetic algorithm (GA) heuristic has been developed to solve the problem, and performance results show that GA is an appropriate solution.     

最大团问题的改进遗传算法求解

最大团问题是组合优化中经典的NP完全问题,该问题的枚举算法只适用于求解中小规模的图。提出了基于遗传算法的最大团问题求解算法,引入概率模型指导变异产生新的个体,并结合启发式局部算法搜索最大团。经算例测试,获得了较好的效果。     

基于混合遗传模拟退火算法求解TSP问题

TSP问题是典型的NP-hard组合优化问题,遗传算法是求解此类问题的一种方法,但它存在如何较快地找到全局最优解,并防止“早熟”收敛的问题。针对上述问题并结合TSP问题的特点,提出将遗传算法与模拟退火算法相结合形成遗传模拟退火算法。为了解决群体的多样性和收敛速度的矛盾,采用了部分近邻法来生成初始种群,生成的初始种群优于随机产生初始种群。仿真实验结果证明,该算法相对于基本遗传算法的收敛速度、搜索质量和最优解输出概率方面有了明显的提高。     

Team formation based on group technology: A hybrid grouping genetic algorithm approach

This paper presents a new model for team formation based on group technology (TFPGT). Specifically, the model is applied as a generalization of the well-known Machine-Part Cell Formation problem, which has become a classical problem in manufacturing in the last few years. In this case, the model presented is especially well-suited for problems of team formation arising in R&D-oriented or teaching institutions. A parallel hybrid grouping genetic algorithm (HGGA) is also proposed in the paper to solve the TFPGT. The performance of the algorithm is shown in several synthetic TFPGT instances, and in a real problem: the formation of teaching groups at the Department of Signal Theory and Communications of the Universidad de Alcalá in Spain.     

A genetic algorithm approach to the machine-component grouping problem with multiple objectives

The formation of machine cells and component families is a problem that has engaged the attention of researchers in group technology for over a decade. This paper proposes a bi-criteria mathematical model with a solution procedure based on a genetic algorithm. Trials on a sample problem suggest that the proposed algorithm can be a powerful tool that can be gainfully employed in a cellular manufacturing environment. The algorithm is inherently parallel and is capable of super linear speed-up in multi-processor systems.