Solving shortest path problem using particle swarm optimization

This paper presents the investigations on the application of particle swarm optimization (PSO) to solve shortest path (SP) routing problems. A modified priority-based encoding incorporating a heuristic operator for reducing the possibility of loop-formation in the path construction process is proposed for particle representation in PSO. Simulation experiments have been carried out on different network topologies for networks consisting of 15–70 nodes. It is noted that the proposed PSO-based approach can find the optimal path with good success rates and also can find closer sub-optimal paths with high certainty for all the tested networks. It is observed that the performance of the proposed algorithm surpasses those of recently reported genetic algorithm based approaches for this problem.     

基于离散微粒群算法求解背包问题研究

微粒群算法(PSO)是一种新的演化算法,主要用于求解数值优化问题.基于离散微粒群算法(DPSO)分别与处理约束问题的罚函数法和贪心变换方法相结合,提出了求解背包问题的两个算法:基于罚函数策略的离散微粒群算法(PFDPSO)和基于贪心变换策略的离散微粒群算法(GDPSO).通过将这两个算法与文献[7]中的混合微粒群算法(Hybrid_PSO)进行数值计算比较发现:对于求解大规模的背包问题,GDPSO非常优秀,其求解能力优于Hybrid_PSO和PFDPSO,是求解背包问题的一种非常有效的方法.     

Solving the bi-objective personnel assignment problem using particle swarm optimization

A particle swarm optimization (PSO) algorithm combined with the random-key (RK) encoding scheme (named as PSORK) for solving a bi-objective personnel assignment problem (BOPAP) is presented. The main contribution of this work is to improve the f₁_f₂ heuristic algorithm which was proposed by Huang et al. [3]. The objective of the f₁_f₂ heuristic algorithm is to get a satisfaction level (SL) value which is satisfied to the bi-objective values f₁, and f₂ for the personnel assignment problem. In this paper, PSORK algorithm searches the solution of BOPAP space thoroughly. The experimental results show that the solution quality of BOPAP based on the proposed method is far better than that of the f₁_f₂ heuristic algorithm.     

求解旅行商问题的混合粒子群优化算法

结合遗传算法、蚁群算法和模拟退火算法的思想，提出用混合粒子群算法来求解著名的旅行商问题．与模拟退火算法、标准遗传算法进行比较，24种混合粒子群算法的效果都比较好，其中交叉策略D和变异策略F的混合粒子群算法的效果最好，而且简单有效．对于目前仍没有较好解法的组合优化问题，通过此算法修改很容易解决．     

基于QPSO算法的单阶段投资组合优化

投资组合优化问题是NP难解问题,通常的方法很难较好地接近全局最优.在经典微粒群算法(PSO)的基础上,研究了基于量子行为的微粒群算法(QPSO)的单阶段投资组合优化方法,具体介绍了依据目标函数如何利用QPSO算法去寻找最优投资组合.在具体应用中,为了提高算法的收敛性和稳定性对算法进行了改进.利用真实历史数据进行验证,结果表明在解决单阶段投资组合优化问题时,基于QPSO算法的投资组合优化的性能比PSO算法更加优越,且QPSO算法在投资组合优化领域具有很大的实际应用价值.     

求解高校教室调度问题的混合粒子群算法

针对高校教室调度问题进行了研究,综合考虑教室集中时间利用率和学生需求,采用三元组方式,用任务表示课程,用设备表示不同类型的教室。据此,教室排课问题被描述为一类以最小化Cmax与滞后时间和为调度目标,具有机器适用限制的并行机调度问题。然后结合问题特性,建立对应的运筹学调度模型,并运用混合粒子群算法求解该类调度问题。最后仿真结果表明实现了所讨论的两个优化调度目标,获得了满意解;同时通过与其他算法解的比较,得出混合粒子群算法非常适合求解这里所讨论的教室排课问题这一结论。     

改进粒子群优化算法求解任务指派问题

任务指派问题是典型NP难题,引入粒子群优化算法对其进行求解。建立了任务指派问题的数学模型,给出了粒子群优化算法求解任务指派问题的具体方案。为提高其优化求解效果,引入变异机制及局部更新机制对粒子群优化算法进行改进。实例及数字仿真验证了改进粒子群优化算法的有效性。     

0-1背包问题的模糊粒子群算法求解*

针对基本粒子群算法在背包问题上表现的不足,在基本粒子群算法的基础上运用模糊规则表加入了新的扰动因子,提出了一种新的算法——模糊粒子群算法。该算法结合了模糊控制器中输入/输出的模糊化处理和粒子群寻优的特点,为实际问题提供了新的解决手段。将模糊粒子群算法应用于0-1背包问题上,通过多组实例数据进行测试,验证表明了本算法具有良好的有效性和鲁棒性。     

用并行化的QPSO解决有约束的优化问题

采用粒子群系统的并行化的量子化模型提高全局搜寻能力,在解决约束问题时采用不固定的多阶段任务补偿函数以提高收敛性,并获得更准确的结果,提出了并行化的QPSO（PQPSO）算法。此算法在几个可信赖的基准函数中被测试,并且实验结果显示PQPSO的最优值和运行时间比QPSO和传统的PSO有很大的提高,而且运行所用的时间资源接近线性减少。     

Markowitz-based portfolio selection with cardinality constraints using improved particle swarm optimization

This work presents particle swarm optimization (PSO), a collaborative population-based meta-heuristic algorithm for solving the Cardinality Constraints Markowitz Portfolio Optimization problem (CCMPO problem). To our knowledge, an efficient algorithmic solution for this nonlinear mixed quadratic programming problem has not been proposed until now. Using heuristic algorithms in this case is imperative. To solve the CCMPO problem, the proposed improved PSO increases exploration in the initial search steps and improves convergence speed in the final search steps. Numerical solutions are obtained for five analyses of weekly price data for the following indices for the period March, 1992 to September, 1997: Hang Seng 31 in Hong Kong, DAX 100 in Germany, FTSE 100 in UK, S&P 100 in USA and Nikkei 225 in Japan. The test results indicate that the proposed PSO is much more robust and effective than existing PSO algorithms, especially for low-risk investment portfolios. In most cases, the PSO outperformed genetic algorithm (GA), simulated annealing (SA), and tabu search (TS).     

求解多重背包问题的限速粒子群算法

提出了一种限速粒子群算法用于求解多重背包问题。通过对迭代过程中不同位置的限速更新,使得搜索效率大大提高,获得最优值的概率也大幅提高。给出了算法流程图,分析了限速值对计算结果的影响。算例的计算结果证明了该算法的有效性。     

随机权值平面选址的粒子群优化算法

将引入粒子群优化算法来解决带随机权值、服从独立均匀概率分布的极小化极大（1-中心）平面选址问题,对其进行实验模拟并得出了乐观的结果。     

Solving a new multi-objective multi-route flexible flow line problem by multi-objective particle swarm optimization and NSGA-II

Mass production, meeting the increasing demands of the customers is a necessity. Such a production is mainly dependent on a factory manufacturing called flow line production. This paper deals with special type of production by the name of flexible manufacturing system, assuming the presence of multi processors in each station of a multi-station arrangement. The model debated in the paper possesses three objective functions, the first of which attempts to minimize the weighted delays. The second objective function tries to minimize the capital for the purchase of the processors at stations and the third objective function minimizes the capital dedicated to select the optimum processing route of parts. For the validation of the mathematical model, use has been made of NSAGAII and MOPSO approaches.     

A novel intelligent particle swarm optimization algorithm for solving cell formation problem

The formation of manufacturing cells forms the backbone of designing a cellular manufacturing system. In this paper, we present a novel intelligent particle swarm optimization algorithm for the cell formation problem. The proposed solution method benefits from the advantages of particle swarm optimization algorithm (PSO) and self-organization map neural networks by combining artificial individual intelligence and swarm intelligence. Numerical examples demonstrate that the proposed intelligent particle swarm optimization algorithm significantly outperforms PSO and yields better solutions than the best solutions existed in the literature of cell formation. The application of the proposed approach is examined in a case problem where real data is utilized for cell reconfiguration of an actual company involved in agricultural manufacturing sector.

     

限制速度粒子群优化和自适应速度粒子群优化在无约束优化问题中的应用

限制速度粒子群优化(RVPSO)和自适应速度粒子群优化(SAVPSO)是近年来提出的专门求解约束优化问题(COP)的粒子群优化算法,但目前尚无两算法在无约束优化应用方面的研究。为此,研究上述算法在无约束优化中的有效性和性能特点,并针对算法保守性较强的特点,分别引入混沌因子和随机优化策略对算法进行改进,从而提高算法的全局搜索能力;另外,还研究了不同参数设置对算法性能的影响。在5个典型测试函数上的仿真实验结果表明:RVPSO改进算法的鲁棒性及全局搜索能力优于原算法,但在求解高维多峰函数时仍易于陷入局部最优; SAVPSO改进算法的全局搜索能力比RVPSO改进算法强,且在求解高维多峰函数时具有更快的收敛速度并能取得精度更高的解,表现出较好的全局优化能力,是一种切实有效的求解无约束优化问题的算法。     

Solving IIR system identification by a variant of particle swarm optimization

A variant of particle swarm optimization (PSO) is represented to solve the infinitive impulse response (IIR) system identification problem. Called improved PSO (IPSO), it makes significant enhancement over PSO. To begin with, the population initialization step makes use of golden ratio to segment solution space so as to obtain high-quality solutions. It is followed by all particles using different inertia weights in velocity updating step, which is beneficial for preserving the balance between global search and local search. Subsequently, IPSO uses normal distribution to disturb the global best particle, which enhances its capacity of escaping from the local optimums. The above three operations cannot only guarantee high-quality solutions, strong global search capacity, and fast convergence rate, but also avoid low diversity, excessive local search, and premature stagnation. These properties of IPSO make it much better suited for IIR system identification problems. IPSO is applied on 12 examples. The experimental results amply demonstrate the capability of IPSO toward obtaining the best objective function values in all the cases. Compared with the other four PSO approaches, IPSO has stronger convergence and higher stability which clearly points out its desirable performance in search accuracy and identifying efficiency.

     

A novel particle swarm optimizer hybridized with extremal optimization

Particle swarm optimization (PSO) has received increasing interest from the optimization community due to its simplicity in implementation and its inexpensive computational overhead. However, PSO has premature convergence, especially in complex multimodal functions. Extremal optimization (EO) is a recently developed local-search heuristic method and has been successfully applied to a wide variety of hard optimization problems. To overcome the limitation of PSO, this paper proposes a novel hybrid algorithm, called hybrid PSO–EO algorithm, through introducing EO to PSO. The hybrid approach elegantly combines the exploration ability of PSO with the exploitation ability of EO. We testify the performance of the proposed approach on a suite of unimodal/multimodal benchmark functions and provide comparisons with other meta-heuristics. The proposed approach is shown to have superior performance and great capability of preventing premature convergence across it comparing favorably with the other algorithms.     

求解约束优化问题的融合粒子群的教与学算法

为了求解约束优化问题,提出了一种融合粒子群的教与学算法。算法采用了一种自适应的教学因子,使得算法的搜索性能可以自适应的调整。引入了自我学习和相互学习的学习模式,使得信息交流更加多样化,增强了算法的全局搜索能力。最后根据适应度值将整个种群分为两个子种群,对适应度值差的子种群采用粒子群算法以提升收敛性能,对适应度值优的子种群采用教与学优化算法以增强种群的多样性,通过两种算法的优势互补,提升了算法的整体优化性能。通过在22个标准测试函数的实验和与其它3种算法的比较表明,融合粒子群的教与学算法求解精度高,收敛速度快,它是一种可行、高效的优化算法。     

A novel particle swarm optimization algorithm with Levy flight

Particle swarm optimization (PSO) is one of the well-known population-based techniques used in global optimization and many engineering problems. Despite its simplicity and efficiency, the PSO has problems as being trapped in local minima due to premature convergence and weakness of global search capability. To overcome these disadvantages, the PSO is combined with Levy flight in this study. Levy flight is a random walk determining stepsize using Levy distribution. Being used Levy flight, a more efficient search takes place in the search space thanks to the long jumps to be made by the particles. In the proposed method, a limit value is defined for each particle, and if the particles could not improve self-solutions at the end of current iteration, this limit is increased. If the limit value determined is exceeded by a particle, the particle is redistributed in the search space with Levy flight method. To get rid of local minima and improve global search capability are ensured via this distribution in the basic PSO. The performance and accuracy of the proposed method called as Levy flight particle swarm optimization (LFPSO) are examined on well-known unimodal and multimodal benchmark functions. Experimental results show that the LFPSO is clearly seen to be more successful than one of the state-of-the-art PSO (SPSO) and the other PSO variants in terms of solution quality and robustness. The results are also statistically compared, and a significant difference is observed between the SPSO and the LFPSO methods. Furthermore, the results of proposed method are also compared with the results of well-known and recent population-based optimization methods.     

QPSO算法与PSO算法求解二维热传导反问题

热传导反问题在国内研究起步较晚,研究方法有很多,但通常方法很难较好地接近全局最优.在介绍经典的微粒群优化算法(PSO)的基础上,研究基于量子行为的微粒群优化算法(QPSO)的二维热传导参数优化方法,具体介绍依据目标函数如何利用上述的算法去寻找最优参数组合.为了提高算法的收敛性和稳定性,在具体应用中对算法进行了改进,并进行了大量实验,结果显示在解决热传导反问题优化问题中,基于QPSO算法的性能比经典PSO算法更加优越,证明QPSO在热传导领域具有很大的实际应用价值.