求解连续空间优化问题的扩展粒子蚁群算法

扩展蚁群算法是蚁群算法创始人Dorigo提出的一种用于求解连续空间优化问题的最新蚁群算法,但该算法的收敛速度参数和局部搜索参数取值缺乏理论指导,因此其性能受算法参数影响较大.本文提出一种求解连续空间优化的扩展粒子蚁群算法,将粒子群算法嵌入到扩展蚁群算法中用于在线优化扩展蚁群算法参数,减少了参数人为调整的盲目性.从而改善扩展蚁群算法的寻径行为.通过将本文提出的算法与遗传算法、克隆选择算法、蚁群算法、扩展蚁群算法对5种典型测试函数优化的结果对比表明,本文算法在搜索速度和全局搜索能力方面均优于其它算法.     

基于改进免疫遗传优化蚁群算法的移动机器人路径寻优研究

针对移动机器人路径规划中使用蚁群算法(ACO)易陷入局部最优和收敛速度慢的问题,提出了一种适用于机器人静态路径寻优的改进免疫遗传优化蚁群算法(IMGAC)。该算法可以根据实际情况自动调整变异概率和变异方式,以及自动调节个体免疫位的长度,将通过改进的变异算子和免疫算子嵌入蚁群算法来提高全局寻优能力与收敛速度。仿真及实验表明:相比于经典ACO算法以及最大最小蚂蚁系统,IMGAC算法收敛速度更快,全局寻优能力更强。利用该算法寻找移动机器人最优路径,提高了静态路径寻优的效果和效率。     

基于鱼骨型仓库布局的多车拣选路径问题优化

为了推动鱼骨型仓库在实际场景下的应用,针对鱼骨型仓库布局下的拣货路径优化问题,构建待拣货点距离计算模型和以有载重、容积限制的多车拣货距离最短为总目标的拣选路径优化模型。考虑遗传算法(GA)全局搜索能力强、粒子群算法(GAPSO)收敛速度快以及蚁群算法(ACO)较强的局部寻优能力,提出一种解决拣选路径优化模型的混合算法(GA-PSO-ACO)。通过不同订单规模的仿真实验,得出该混合算法在适应度值、迭代次数、收敛速度等方面均优于GA算法和GAPSO算法,且在订单规模较大时,平均适应度值约降低8%,有效缩短了总拣选距离,验证了混合算法在解决鱼骨型仓库布局下的拣货路径问题的先进性和有效性,为解决此类仓库内部的拣货路径问题提供新的解决方法和思路。     

Ant colony optimization system for a multi-quantitative and qualitative objective job-shop parallel-machine-scheduling problem

This paper addresses a multi-stage job-shop parallel-machine-scheduling problem with an ant colony optimization system developed. The problem is practically important and yet more complex, especially when customer order splitting in multiple lots for the reduction of operation times in each workstation is allowed. It also includes the decisions of the numbers of parallel machines in workstations dynamically scheduled. In addition, this paper also addresses the multiple-objectives scheduling. For the practical concern, in addition to the production (or quantitative) objectives, the marketing (strategic or qualitative) criteria are also considered. A soft constraint thus may be realized from a thus-called qualitatively evaluated order sequence. The soft constraint with the ant colony optimization solution constructs a penalty function for the multiple qualitative objectives and the results of scheduling obtained by ant colony optimization. For this problem, the ant colony optimization components (including the network representation, tabu lists, transition probabilities, and pheromone trail updating) are also developed and adapted for the multiple objectives. The experiment results of parameter design and different problem sizes are provided. The results of a genetic algorithm also developed for the present problem under the developed system concept are also provided, since in the literature the genetic algorithm has also not been explored for the present problem with multiple objectives and order splitting. The results of both solution techniques show the potential usefulness of the system and are comparable, but the ant colony optimization provides a more computationally efficient better result.     

基于蚁群算法的双分区仓库拣货路径的优化

为提高现代仓库作业中拣货这一核心环节的效率,研究了仓库拣货路径的优化,提出了根据双分区仓库中拣货路径的特点,采用蚁群算法优化求解的拣货路径算法,并通过仿真将该算法的性能与传统穿越策略、S形启发式算法进行了比较。比较结果表明,以蚁群算法优化路径问题可以明显减少路径的距离,具有良好的实用性。     

用于多目标优化的蚁群算法的构建及其应用

从蚁群的生物学行为出发,将成群募集和海量募集两种机制融入蚁群算法,并针对多目标优化的特性,综合考虑解的被支配度和分散度,抽提出一种启发式规则,用以评价食物源的优劣,进而构建多目标连续蚁群优化算法(MO-CACO).通过两个多目标典型函数的优化测试,验证了MO-CACO具有较强的多目标全局寻优能力,且稳健性良好,所求得的最优解集的多目标值能均匀地逼近Pareto最优前沿的各部分.将MO-CACO用于二甲苯异构化装置的操作优化,取得了满意的结果,MO-CACO可为化工过程多目标决策提供支持.     

Coupling ant colony optimization and the extended great deluge algorithm for the discrete facility layout problem

This article uses a hybrid optimization approach to solve the discrete facility layout problem (FLP), modelled as a quadratic assignment problem (QAP). The idea of this approach design is inspired by the ant colony meta-heuristic optimization method, combined with the extended great deluge (EGD) local search technique. Comparative computational experiments are carried out on benchmarks taken from the QAP-library and from real life problems. The performance of the proposed algorithm is compared to construction and improvement heuristics such as H63, HC63-66, CRAFT and Bubble Search, as well as other existing meta-heuristics developed in the literature based on simulated annealing (SA), tabu search and genetic algorithms (GAs). This algorithm is compared also to other ant colony implementations for QAP. The experimental results show that the proposed ant colony optimization/extended great deluge (ACO/EGD) performs significantly better than the existing construction and improvement algorithms. The experimental results indicate also that the ACO/EGD heuristic methodology offers advantages over other algorithms based on meta-heuristics in terms of solution quality.     

基于蚁群算法的资源均衡优化决策及其MATLAB实现

资源均衡问题已被证明属于组合优化中的NP-hard问题,随着网络计划的复杂化,传统的数学规划法和启发式算法已很难解决该问题。本文以各种资源标准差的加权之和作为衡量资源均衡的评价指标,建立了资源均衡优化决策的数学模型,其次,自行设计蚁群算法步骤,利用Matlab编程进行实现,将蚂蚁随机分布在可行域中,蚂蚁根据转移概率进行全局搜索或局部搜索,经迭代求解资源平衡的全局最优和对应的各工序的开始工作时间,最后使用单资源均衡和多资源均衡两个算例对算法进行了测试,验证了该算法的有效性。     

蚁群算法耦合LS-DYNA梯式轨枕轨道动力特性优化

为研究枕下减振垫材料密度和弹性模量对梯式轨枕轨道动力特性的影响,提出连续函数蚁群算法耦合LS-DYNA动力有限元程序的方法。首先利用连续函数蚁群算法程序,优化设计变量;其次,调用LS-DYNA动力有限元程序,对优化参数后的有限元模型进行计算;最后,将LS-DYNA动力有限元程序计算得到的结果反馈给连续函数蚁群算法程序。利用该方法,研究得出：在可取的材料参数范围之内,梯式轨枕轨道枕下减振垫最佳材料密度为620 kg/m3,最佳弹性模量为6.25×106 N/m2。将优化后的枕下减振垫用于地铁运营线,基底台座1 Hz~80 Hz频段加权VLz减小6.5 dB。因此认为,连续函数蚁群算法耦合LS-DYNA方法优化梯式轨枕轨道动力特性有效。     

单线超市车辆配置与路径问题优化研究

为解决工位对物料需求紧迫程度不同,进而影响配送优先顺序的问题,提出考虑工位配送优先级的单线超市车辆配置及配送路径优化模型和求解算法。首先,建立以物料需求紧迫系数表示配送优先顺序,以单线超市车辆配置最少与路径最短为目标的数学模型;其次,提出加入控制搜索因子的改进蚁群算法对该问题进行求解,通过在迭代不同时期设置不同大小的控制搜索因子来改变节点选择概率,提高最优解搜索速度的同时避免算法陷入局部最优;最后,通过算例分析,验证了模型的正确性,同时也证明了改进蚁群算法能够实现对物料需求紧迫程度高的工位优先配送,较基本蚁群算法在计算结果及算法运行时间上具有优势。     

Design of high-performing hybrid meta-heuristics for unrelated parallel machine scheduling with machine eligibility and precedence constraints

This study involves an unrelated parallel machine scheduling problem in which sequence-dependent set-up times, different release dates, machine eligibility and precedence constraints are considered to minimize total late works. A new mixed-integer programming model is presented and two efficient hybrid meta-heuristics, genetic algorithm and ant colony optimization, combined with the acceptance strategy of the simulated annealing algorithm (Metropolis acceptance rule), are proposed to solve this problem. Manifestly, the precedence constraints greatly increase the complexity of the scheduling problem to generate feasible solutions, especially in a parallel machine environment. In this research, a new corrective algorithm is proposed to obtain the feasibility in all stages of the algorithms. The performance of the proposed algorithms is evaluated in numerical examples. The results indicate that the suggested hybrid ant colony optimization statistically outperformed the proposed hybrid genetic algorithm in solving large-size test problems.     

改进蚁群算法设计拉式膜片弹簧

 通过对拉式膜片弹簧载荷-变形特性的综合分析,考虑各种约束条件,提出了一种新的多目标优化设计数学模型．该模型以在摩擦片磨损极限范围内,弹簧压紧力变化的平均值最小及驾驶员作用在分离轴承装置上的分离操纵力的平均值最小为共同优化目标,使离合器后备系数稳定,离合器分离力的平均作用力较小．蚁群算法是一种新型的元启发式优化算法,该算法具有较强的发现较好解的能力,但同时也存在一些缺点,如容易出现停滞现象、收敛速度慢等．将遗传算法和蚁群算法结合起来,在蚁群算法的每一次迭代中,首先根据信息量选择解分量的初值,然后使用变异操作来确定解的值．最后,通过实例与其他优化方法的结果进行比较．结果表明,该算法有较好的收敛速度及稳定性．     

Multiple colony ant algorithm for job-shop scheduling problem

Ant colony optimization (ACO) is a metaheuristic that takes inspiration from the foraging behaviour of a real ant colony to solve the optimization problem. This paper presents a multiple colony ant algorithm to solve the Job-shop Scheduling Problem with the objective that minimizes the makespan. In a multiple colony ant algorithm, ants cooperate to find good solutions by exchanging information among colonies which are stored in a master pheromone matrix that serves the role of global memory. The exploration of the search space in each colony is guided by different heuristic information. Several specific features are introduced in the algorithm in order to improve the efficiency of the search. Among others is the local search method by which the ant can fine-tune their neighbourhood solutions. The proposed algorithm is tested over set of benchmark problems and the computational results demonstrate that the multiple colony ant algorithm performs well on the benchmark problems.     

Displacement back analysis for underground engineering based on immunized continuous ant colony optimization

The objective function of displacement back analysis for rock parameters in underground engineering is a very complicated nonlinear multiple hump function. The global optimization method can solve this problem very well. However, many numerical simulations must be performed during the optimization process, which is very time consuming. Therefore, it is important to improve the computational efficiency of optimization back analysis. To improve optimization back analysis, a new global optimization, immunized continuous ant colony optimization, is proposed. This is an improved continuous ant colony optimization using the basic principles of an artificial immune system and evolutionary algorithm. Based on this new global optimization, a new displacement optimization back analysis for rock parameters is proposed. The computational performance of the new back analysis is verified through a numerical example and a real engineering example. The results show that this new method can be used to obtain suitable parameters of rock mass with higher accuracy and less effort than previous methods. Moreover, the new back analysis is very robust.     

交叉变异的连续蚁群优化算法

研究了应用于连续空间优化问题的蚁群算法,给出了信息素的留存方式以及搜索策略.另外,针对蚁群算法易陷入局部最优的缺点,在最优蚂蚁周围进行了精细搜索,并加入了自适应的交叉变异算子,从而改进了蚁群算法的全局优化性能.数值仿真结果表明,该算法是一种有效的优化算法.     

蚁群算法的研究现状及其展望

蚁群算法是近几年优化领域中新出现的一种启发式仿生类并行智能进化系统，该算法采用分布式并行计算和正反馈机制，易于与其他方法结合，目前已经在众多组合优化领域中得到广泛应用。在介绍基本蚁群算法数学模型的基础上，列举了进入21世纪以来部分具有代表性的蚁群算法改进模型及其应用情况，然后重点从算法的模型改进、理论分析、并行实现、应用领域、硬件实现、智能融合等角度对蚁群算法在今后的研究方向作了系统分析与展望。     

基于自适应蚁群优化的Volterra核辨识算法研究

提出了一种基于自适应蚁群优化(AACO)的Volterra核辨识方法。该方法将蚁群算法应用于Volterra时域核的辨识,并能够随着进化次数的增加,自适应调整基本蚁群算法的参数。同时,与相应的基于蚁群优化(ACO)的Volterra核辨识方法进行了对比分析。仿真结果表明,本文提出的方法与蚁群优化辨识方法不论在无噪声环境下,还是在有噪声干扰下,都能得到很好的辨识精度、收敛稳定性和较强的鲁棒抗噪性能,然而,在收敛速度方面,本文提出的方法优于蚁群优化辨识方法。     

微小型移动机器人的路径规划及编队研究

针对微小型移动机器人的路径寻优及编队问题,提出了路径规划与轨迹跟踪相结合的方法来实现多机器人的编队任务.首先提出了基于传统蚁群算法的改进算法,仿真结果证明,改进算法通过改进参数及初始信息素矩阵,使其收敛速度提高了50％,全局寻优能力提高了30％.其次设计了基于李雅普诺夫算法的轨迹跟踪控制器,仿真结果证明,其误差最终趋于...     

包装物回收物流中的车辆路径优化问题

目的提高遗传算法(GA)求解包装物回收车辆路径优化问题的性能。方法通过对传统GA算法的改进,提出混合蜂群遗传算法(HBGA)。首先改进传统GA算法的初始种群生成方式,设计初始种群混合生成算子;其次,提出最大保留交叉算子,对优秀子路径进行保护;然后,在上述改进的基础上引入蜜蜂进化机制,用以保证种群多样性和优秀个体特征信息的利用程度;最后,对标准算例集进行仿真测试。结果与传统GA算法相比,HBGA算法在全局寻优能力、算法稳定性和运行速度方面均有所改善。HBGA算法的全局寻优能力和算法稳定性均优于粒子群算法(PSO)、蚁群算法(ACO)和禁忌搜索算法(TS),但运行速度稍慢于TS算法。结论对传统GA算法的改进是合理的,且HBGA算法整体求解性能优于PSO算法、ACO算法和TS算法。     

基于蚁群算法的多Agent任务分配

应用蚁群算法来解决MAS的任务分配问题这一类典型的组合优化问题．研究表明,在求解复杂优化问题方面该算法具有一定的优越性．首先建立了任务分配的数学模型,并导出分配优化的目标函数;其次利用蚁群算法分布式求解的特点实现任务分配的组合优化．仿真结果表明,该算法比禁忌搜索和随机方法具有更好的求解能力．