基于蚁群粒子群算法求解多目标柔性调度问题

通过分析多目标柔性作业车间调度问题中各目标的相互关系,提出一种主、从递阶结构的蚁群粒子群求解算法。算法中,主级为蚁群算法,在选择工件加工路径过程中实现设备总负荷和关键设备负荷最小化的目标;从级为粒子群算法,在主级工艺路径约束下的设备排产中实现工件流通时间最小化的目标。然后,以设备负荷和工序加工时间为启发式信息设计蚂蚁在工序可用设备间转移概率;基于粒子向量优先权值的大小关系设计解码方法实现设备上的工序排产。最后,通过仿真和比较实验,验证了该算法的有效性。     

一种障碍环境下机器人路径规划的蚁群粒子群算法

针对机器人在障碍环境下寻找最优路径问题, 提出了一种障碍环境下机器人路径规划的蚁群粒子群算法.该方法有效地结合了粒子群算法和蚁群算法的优点, 采用栅格法进行环境建模, 利用粒子群算法的快速简洁等特点得到蚁群算法初始信息素分布, 以减少迭代次数, 加快算法的收敛速度; 同时利用蚁群算法之间的可并行性, 采用分布式技术实现蚂蚁之间的并行搜索, 求解精度高等优点, 求精确解. 仿真实验结果证明了该方法的有效性, 是机器人路径规划的一种较好的方法.     

蚁群-粒子群算法求解多模式资源受限项目调度问题

通过分析多模式项目调度问题的特点,提出一种主、从递阶结构的蚁群粒子群求解算法。算法中,主级为蚁群算法,完成任务模式选择;从级为粒子群算法,完成主级约束下的任务调度。然后,以工期最小和资源均衡分配为目标设计蚂蚁转移概率、模式优选概率和任务优选概率。最后,针对PSPLIB中的测试集对算法主要参数进行优化,并通过与其他算法比较验证了算法的有效性。     

A recombination-based hybridization of particle swarm optimization and artificial bee colony algorithm for continuous optimization problems

This paper presents a hybridization of particle swarm optimization (PSO) and artificial bee colony (ABC) approaches, based on recombination procedure. The PSO and ABC are population-based iterative methods. While the PSO directly uses the global best solution of the population to determine new positions for the particles at the each iteration, agents (employed, onlooker and scout bees) of the ABC do not directly use this information but the global best solution in the ABC is stored at the each iteration. The global best solutions obtained by the PSO and ABC are used for recombination, and the solution obtained from this recombination is given to the populations of the PSO and ABC as the global best and neighbor food source for onlooker bees, respectively. Information flow between particle swarm and bee colony helps increase global and local search abilities of the hybrid approach which is referred to as Hybrid approach based on Particle swarm optimization and Artificial bee colony algorithm, HPA for short. In order to test the performance of the HPA algorithm, this study utilizes twelve basic numerical benchmark functions in addition to CEC2005 composite functions and an energy demand estimation problem. The experimental results obtained by the HPA are compared with those of the PSO and ABC. The performance of the HPA is also compared with that of other hybrid methods based on the PSO and ABC. The experimental results show that the HPA algorithm is an alternative and competitive optimizer for continuous optimization problems.     

Two-layer particle swarm optimization for unconstrained optimization problems

In this article, a two-layer particle swarm optimization (TLPSO) is proposed to increase the diversity of the particles so that the drawback of trapping in a local optimum is avoided. In order to design the TLPSO, a structure with two layers (top layer and bottom layer) is proposed so that M swarms of particles and one swarm of particles are generated in the bottom layer and the top layer, respectively. Each global best position in each swarm of the bottom layer is set to be the position of the particle in the swarm of the top layer. Therefore, the global best position in the swarm of the top layer influences indirectly the particles of each swarm in the bottom layer so that the diversity of the particles increases to avoid trapping into a local optimum. Besides, a mutation operation is added into the particles of each swarm in the bottom layer so that the particles leap the local optimum to find the global optimum. Finally, some optimization problems of different types of high dimensional functions are used to illustrate the efficiency of the proposed method.     

Ant colony optimization algorithms for solving transportation problems

The work is devoted to solving transportation problems with ant colony algorithms. These algorithms are based on the simulation of the behavior of an ant colony. Several modifications of the ant colony algorithm are developed.     

带自适应感知能力的粒子群优化算法

提出一种求解约束优化问题的改进粒子群优化算法。它利用可行性判断规则处理约束条件,更新个体最优解和全局最优解。通过为粒子赋予自适应感知能力,算法能较好地平衡全局和局部搜索,且有能力跳出局部极值,防止早熟。边界附近粒子的感知结果被用来修正其飞行速度以加强算法对约束边界的搜索。实验结果表明,新算法收敛速度快,寻优能力强,能很好地求解约束优化问题。     

求解约束优化问题的动态邻域粒子群算法*

粒子群算法(PSO)求解约束优化问题存在较严重的早熟收敛现象,为了有效抑制早熟收敛,提出了基于改进的约束自适应方法的动态邻域粒子群算法(IPSO)。算法采用动态邻域策略提高算法的全局搜索能力,设计了一种改进的自适应约束处理方法,根据迭代代数线性增加搜索偏向系数,在早期偏向于搜索可行解,在后期偏向于搜索最优解,并引入序列二次规划增强算法的局部搜索能力。通过基准测试函数实验对比分析,表明该算法对于约束优化问题具有较好的全局收敛性。     

不确定可靠性优化问题的多目标粒子群优化算法

针对元件可靠性为区间值的系统可靠性优化问题, 提出一种区间多目标粒子群优化方法. 首先, 建立问题的区间多目标优化模型; 然后, 利用粒子群算法优化该模型, 定义一种不精确Pareto 支配关系, 并给出编码、约束处理、外部存储器更新、领导粒子选择等关键问题的解决方法; 最后, 将该方法应用于可靠性优化问题实例, 验证了方法的有效性.

     

解决约束优化问题的改进粒子群算法

针对约束优化问题的求解,提出一种改进的粒子群算法（CMPSO）。在CMPSO算法中,为了增加种群多样性,提升种群跳出局部最优解的能力,引入种群多样性阈值,当种群多样性低于给定阈值时,对全局最优粒子位置和粒子自身最优位置进行多项式变异;并根据粒子违背约束条件的程度,提出一种新的粒子间比较准则来比较粒子间的优劣,该准则可以保留一部分性能较优的不可行解;为提升种群向全局最优解飞行的概率,采取一种广义学习策略。对经典测试函数的仿真结果表明,所提出的算法是一种可行的约束优化问题的求解方法。     

求解多目标优化问题的自适应粒子群算法

提出了一种基于自适应惯性权重的多目标粒子群优化算法AWMOPSO,采用新的适应值分配机制,在搜索过程中根据粒子的适应值对粒子进行分类,动态调整粒子的惯性权重以控制粒子的开发和探索能力。用外部精英集保存非支配解,并通过拥挤距离维持解的多样性。引入精英迁移和局部扰动策略,提高收敛的速度和精度。典型的测试函数的计算结果表明了算法能够快速逼近Pareto最优前沿,是求解多目标优化问题的有效方法。     

求解多目标优化问题的灰色粒子群算法

鉴于基本粒子群算法无法解决高维多目标优化问题,提出了一种适合求解高维多目标优化问题的灰色粒子群算法(GPSO),该算法根据灰色关联能够很好地分析目标矢量之间的接近程度,并能掌握解空间全貌的特点,利用灰色关联度的大小来选取粒子群算法中的全局极值和个体极值。实验结果证明,该算法可行而有效,同时也拓展了粒子群算法的应用领域。     

An improved vector particle swarm optimization for constrained optimization problems

Increasing attention is being paid to solve constrained optimization problems (COP) frequently encountered in real-world applications. In this paper, an improved vector particle swarm optimization (IVPSO) algorithm is proposed to solve COPs. The constraint-handling technique is based on the simple constraint-preserving method. Velocity and position of each particle, as well as the corresponding changes, are all expressed as vectors in order to present the optimization procedure in a more intuitively comprehensible manner. The NVPSO algorithm [30], which uses one-dimensional search approaches to find a new feasible position on the flying trajectory of the particle when it escapes from the feasible region, has been proposed to solve COP. Experimental results showed that searching only on the flying trajectory for a feasible position influenced the diversity of the swarm and thus reduced the global search capability of the NVPSO algorithm. In order to avoid neglecting any worthy position in the feasible region and improve the optimization efficiency, a multi-dimensional search algorithm is proposed to search within a local region for a new feasible position. The local region is composed of all dimensions of the escaped particle’s parent and the current positions. Obviously, the flying trajectory of the particle is also included in this local region. The new position is not only present in the feasible region but also has a better fitness value in this local region. The performance of IVPSO is tested on 13 well-known benchmark functions. Experimental results prove that the proposed IVPSO algorithm is simple, competitive and stable.     

Sequential approximation optimization assisted particle swarm optimization for expensive problems

In this paper, an efficient sequential approximation optimization assisted particle swarm optimization algorithm is proposed for optimization of expensive problems. This algorithm makes a good balance between the search ability of particle swarm optimization and sequential approximation optimization. Specifically, the proposed algorithm uses the optima obtained by sequential approximation optimization in local regions to replace the personal historical best particles and then runs the basic particle swarm optimization procedures. Compared with particle swarm optimization, the proposed algorithm is more efficient because the optima provided by sequential approximation optimization can direct swarm particles to search in a more accurate way. In addition, a space partition strategy is proposed to constraint sequential approximation optimization in local regions. This strategy can enhance the swarm diversity and prevent the preconvergence of the proposed algorithm. In order to validate the proposed algorithm, a lot of numerical benchmark problems are tested. An overall comparison between the proposed algorithm and several other optimization algorithms has been made. Finally, the proposed algorithm is applied to an optimal design of bearings in an all-direction propeller. The results show that the proposed algorithm is efficient and promising for optimization of the expensive problems.     

An improved quantum-behaved particle swarm optimization for multi-peak optimization problems

In this paper, we propose an improved quantum-behaved particle swarm optimization (QPSO), namely species-based QPSO (SQPSO), using the notion of species for solving multi-peak optimization problems. In the proposed SQPSO, the population is divided into subpopulations (species) based on their similarities. Each species is grouped around a dominating particle called the species seed. During the process of iterations, species are able to simultaneously optimize towards multiple optima by using QPSO, so each peak will definitely be searched in parallel, regardless of whether it is global or local optima. Further, SQPSO is applied to solve systems of nonlinear equations describing certain fitness functions, which are multi-peak functions. Our experiments demonstrate that SQPSO is able to search multiple peaks of a given function as accurate and efficient as possible. Finally the experiments for the solutions of systems of nonlinear equations show that the algorithm is successful in locating multiple solutions with better accuracy.     

基于群体适应度方差的自适应粒子群优化算法

针对基本粒子群优化算法稳定性较差和易陷入局部收敛的缺点,提出了一种基于群体适应度方差的自适应粒子群优化算法。一方面,在可行域中采用混沌初始化生成均匀分布的粒群,提高了初始解的质量;另一方面,构造了基于群体适应度方差的惯性权重的自适应变换公式,增强了算法跳出局部最优解的能力。仿真实验结果表明了该算法的可行性和有效性。     

Ant colony optimization

Swarm intelligence is a relatively new approach to problem solving that takes inspiration from the social behaviors of insects and of other animals. In particular, ants have inspired a number of methods and techniques among which the most studied and the most successful is the general purpose optimization technique known as ant colony optimization. Ant colony optimization (ACO) takes inspiration from the foraging behavior of some ant species. These ants deposit pheromone on the ground in order to mark some favorable path that should be followed by other members of the colony. Ant colony optimization exploits a similar mechanism for solving optimization problems. From the early nineties, when the first ant colony optimization algorithm was proposed, ACO attracted the attention of increasing numbers of researchers and many successful applications are now available. Moreover, a substantial corpus of theoretical results is becoming available that provides useful guidelines to researchers and practitioners in further applications of ACO. The goal of this article is to introduce ant colony optimization and to survey its most notable applications     

Indicator-based set evolution particle swarm optimization for many-objective problems

Multi-objective particle swarm optimization (MOPSO) has been well studied in recent years. However, existing MOPSO methods are not powerful enough when tackling optimization problems with more than three objectives, termed as many-objective optimization problems (MaOPs). In this study, an improved set evolution multi-objective particle swarm optimization (S-MOPSO, for short) is proposed for solving many-objective problems. According to the proposed framework of set evolution MOPSO (S-MOPSO), including quality indicators-based objective transformation, the Pareto dominance on sets, and the particle swarm operators for set evolution, an enhanced S-MOPSO method is developed by updating particles hierarchically, i.e., a set of solutions is first regarded as a particle to be updated and then the solutions in a selected set are further evolved by a modified PSO. In the set evolutionary stage, the strategy for efficiently updating the set particle is proposed. When further evolving a single solution in the initial decision space of the optimized MaOP, the global and local best particles are dynamically determined based on those ideal reference points. The performance of the proposed algorithm is empirically demonstrated by applying it to several scalable benchmark many-objective problems.     

定位-运输路线安排问题的改进离散粒子群优化算法

定位-运输路线安排问题(LRP)是集成物流中的一个NP-hard难题,为求解一类特殊的LRP问题,提出改进的离散粒子群优化算法.该方法采用整体优化的思想,将LAP和VRP集成在一起.通过合适的粒子编码方式,并改进粒子的运动方程,引入相应的变异算子和趋同扰动算子等,使得算法的适用性和性能获得了改善.通过仿真实验及与另2个典型算法的比较分析,证明了该算法的有效性.     

求解约束优化问题的多目标粒子群算法*

提出一种多目标粒子群算法处理约束优化问题(MOCPSO). 首先将约束优化问题转化为多目标问题, 然后给出一个不可行阈值来充分地利用不可行粒子的信息引导种群的飞行; 并提出一种粒子间的比较准则以比较它们的优劣; 最后, 为了增加种群的多样性, 提升种群跳出局部最优解的能力, 引入高斯白噪声扰动. 选取有代表性的标准测试函数对MOCPSO算法的性能进行仿真实验, 相比较其它算法, 结果显示MOCPSO算法是求解约束优化问题的有效算法.