Competitive and Cooperative-Based Strength Pareto Evolutionary Algorithm for Green Distributed Heterogeneous Flow Shop Scheduling

This work aims to resolve the distributed heterogeneous permutation flow shop scheduling problem(DHPFSP)with minimizing makespan and total energy consumption(TEC).To solve this NP-hard problem,this work proposed a competitive and cooperative-based strength Pareto evolutionary algorithm(CCSPEA)which contains the following features:1)An initialization based on three heuristic rules is developed to generate a population with great diversity and convergence.2)A comprehensive metric combining convergence and diversity metrics is used to better represent the heuristic information of a solution.3)A competitive selection is designed which divides the population into a winner and a loser swarms based on the comprehensive metric.4)A cooperative evolutionary schema is proposed for winner and loser swarms to accelerate the convergence of global search.5)Five local search strategies based on problem knowledge are designed to improve convergence.6)Aproblem-based energy-saving strategy is presented to reduce TEC.Finally,to evaluate the performance of CCSPEA,it is compared to four state-of-art and run on 22 instances based on the Taillard benchmark.The numerical experiment results demonstrate that 1)the proposed comprehensive metric can efficiently represent the heuristic information of each solution to help the later step divide the population.2)The global search based on the competitive and cooperative schema can accelerate loser solutions convergence and further improve the winner’s exploration.3)The problembased initialization,local search,and energy-saving strategies can efficiently reduce the makespan and TEC.4)The proposed CCSPEA is superior to the state-of-art for solving DHPFSP.

A novel hybrid estimation of distribution algorithm for solving hybrid flowshop scheduling problem with unrelated parallel machine

The hybrid flow shop scheduling problem with unrelated parallel machine is a typical NP-hard combinatorial optimization problem, and it exists widely in chemical, manufacturing and pharmaceutical industry. In this work, a novel mathematic model for the hybrid flow shop scheduling problem with unrelated parallel machine(HFSPUPM) was proposed. Additionally, an effective hybrid estimation of distribution algorithm was proposed to solve the HFSPUPM, taking advantage of the features in the mathematic model. In the optimization algorithm, a new individual representation method was adopted. The(EDA) structure was used for global search while the teaching learning based optimization(TLBO) strategy was used for local search. Based on the structure of the HFSPUPM, this work presents a series of discrete operations. Simulation results show the effectiveness of the proposed hybrid algorithm compared with other algorithms.

基于改进分布估计算法的带并行机模糊混合Flow Shop调度

针对处理时间不确定情况下带并行机的混合Flow Shop调度问题,基于模糊规划理论,采用一种模糊数排序的方法建立了调度模型;以最小化加权模糊最大完工时间的平均值和不确定度作为调度目标,提出一种改进分布估计算法(IEDA)求解上述问题。IEDA算法采用基于NEH(Nawaz-Enscore-Ham)和破坏重建策略的初始化方法,对较优个体进行变邻域局部搜索以提高算法的局部搜索能力,同时采用破坏重建策略增加种群多样性,在最优解连续若干代没有改进时对其进行基于破坏重建策略的变邻域局部搜索,增强算法跳出局部最优的能力,并用正交设计的方法调节算法参数。仿真实验结果验证了本文算法的优越性。

Intelligent Optimization Under Multiple Factories: Hybrid Flow Shop Scheduling Problem with Blocking Constraints Using an Advanced Iterated Greedy Algorithm

The distributed hybrid flow shop scheduling problem(DHFSP),which integrates distributed manufacturing models with parallel machines,has gained significant attention.However,in actual scheduling,some adjacent machines do not have buffers between them,resulting in blocking.This paper focuses on addressing the DHFSP with blocking constraints(DBHFSP)based on the actual production conditions.To solve DBHFSP,we construct a mixed integer linear programming(MILP)model for DBHFSP and validate its correctness using the Gurobi solver.Then,an advanced iterated greedy(AIG)algorithm is designed to minimize the makespan,in which we modify the Nawaz,Enscore,and Ham(NEH)heuristic to solve blocking constraints.To balance the global and local search capabilities of AIG,two effective inter-factory neighborhood search strategies and a swap-based local search strategy are designed.Additionally,each factory is mutually independent,and the movement within one factory does not affect the others.In view of this,we specifically designed a memory-based decoding method for insertion operations to reduce the computation time of the objective.Finally,two shaking strategies are incorporated into the algorithm to mitigate premature convergence.Five advanced algorithms are used to conduct comparative experiments with AIG on 80 test instances,and experimental results illustrate that the makespan and the relative percentage increase(RPI)obtained by AIG are 1.0%and 86.1%,respectively,better than the comparative algorithms.

混合三维分布估计算法求解分布式加工装配和车辆配送集成调度问题

本文针对一类广泛存在的分布式加工装配和车辆配送集成调度问题(Integrated Scheduling Problem of Distributed Production Assembly and Vehicle Delivery,ISP_DPAVD),以最小化运输和延迟惩罚总成本为优化目标,提出一种混合三维分布估计算法(Hybrid three-Dimensional Estimation of Distribution Algorithm,H3DEDA)进行求解.ISP_DPAVD包含两个耦合的子问题,即加工装配阶段子问题(子问题1)和车辆配送阶段子问题(子问题2).由于每个子问题1的解(部分解1)均会确定1个具体的子问题2,故ISP_DPAVD的解空间非常庞大.根据这一特点,在H3DEDA中,先设计结合邻域变换的启发式规则来快速获取子问题2的优良解,以实现子问题间的部分解耦并明显缩减搜索空间,再设计三维EDA引导的全局搜索和变邻域驱动的局部搜索来获取ISP_DPAVD的高质量解.通过在不同规模测试问题上的仿真实验和算法比较,验证了H3DEDA求解ISP_DPAVD的有效性.

Blocking流水车间调度问题的MBT算法研究

针对目标函数为Makespan的Blocking流水车间调度问题,设计了一种构造启发式算法.初始排序的产生从减少下游工件的滞留时间入手,结合有向图中对关键路径的分析,采用插入规则进行搜索的方法得到工件序列的近优排序.通过大量典型算例的计算,实验结果证明了设计的算法具有优越的性能.

面向智能生产的分布式流水车间调度研究

为了使传统流水车间的调度模型更灵活和更智能化以适应不同生产环境,课题组提出了基于深度学习的分布式流水车间调度方法。通过学习和分析分布式车间系统中的大量数据,利用策略梯度方法在多次迭代优化后使目标得到近似最优解,获取了更智能、适应性更强的生产计划和调度策略;并通过实验和仿真进行验证。结果表明该方法能提高生产效率和资源利用率,并具有成本控制方面的潜力。该研究为制造业的分布式生产环境提供了一种先进的调度策略,为车间管理者提供更准确、更智能的决策参考。

Decomposition-Based Multi-Objective Optimization for Energy-Aware Distributed Hybrid Flow Shop Scheduling with Multiprocessor Tasks

This paper addresses the Energy-Aware Distributed Hybrid Flow Shop Scheduling Problem with Multiprocessor Tasks(EADHFSPMT)by considering two objectives simultaneously,i.e.,makespan and total energy consumption.It consists of three sub-problems,i.e.,job assignment between factories,job sequence in each factory,and machine allocation for each job.We present a mixed inter linear programming model and propose a Novel MultiObjective Evolutionary Algorithm based on Decomposition(NMOEA/D).We specially design a decoding scheme according to the characteristics of the EADHFSPMT.To initialize a population with certain diversity,four different rules are utilized.Moreover,a cooperative search is designed to produce new solutions based on different types of relationship between any solution and its neighbors.To enhance the quality of solutions,two local intensification operators are implemented according to the problem characteristics.In addition,a dynamic adjustment strategy for weight vectors is designed to balance the diversity and convergence,which can adaptively modify weight vectors according to the distribution of the non-dominated front.Extensive computational experiments are carried out by using a number of benchmark instances,which demonstrate the effectiveness of the above special designs.The statistical comparisons to the existing algorithms also verify the superior performances of the NMOEA/D.

Multi-objective Optimization of the Distributed Permutation Flow Shop Scheduling Problem with Transportation and Eligibility Constraints

In this paper,we consider the distributed permutation flow shop scheduling problem(DPFSSP)with transportation and eligibility constrains.Three objectives are taken into account,i.e.,makespan,maximum lateness and total costs(transportation costs and setup costs).To the best of our knowledge,there is no published work on multi-objective optimization of the DPFSSP with transportation and eligibility constraints.First,we present the mathematics model and constructive heuristics for single objective;then,we propose an improved The Nondominated Sorting Genetic Algorithm II(NSGA-II)for the multi-objective DPFSSP to find Pareto optimal solutions,in which a novel solution representation,a new population re-/initialization,effective crossover and mutation operators,as well as local search methods are developed.Based on extensive computational and statistical experiments,the proposed algorithm performs better than the well-known NSGA-II and the Strength Pareto Evolutionary Algorithm 2(SPEA2).

改进鲸鱼算法求解分布式装配柔性作业车间生产与配送联合调度问题

针对一类先加工后装配的离散生产模式,研究分布式制造环境下的装配柔性作业车间生产与配送两阶段联合调度问题。结合实际的生产情况,考虑供应链下生产与配送过程所产生的库存成本,以最小化生产和配送的总成本为联合调度优化目标,提出一种改进鲸鱼算法。针对联合调度的多阶段调度过程,设计了一种基于工序、产品、工厂、机器和车辆的五层编码策略;根据各阶段的特点提出了相应的混合种群初始化策略,以提高解的质量;以加强种群中领头鲸鱼个体与普通鲸鱼个体的联系为导向,改进了鲸鱼觅食的搜索操作并提出四种邻域结构,以增强算法的全局探索和局部搜索能力。最后,通过仿真实验,对比相关研究领域的多种算法来验证所提算法在收敛速度和求解质量等方面的优势,并且将联合调度与分阶段调度进行实验对比,验证了联合调度的优越性。

超启发式人工蜂群算法求解多场景鲁棒分布式置换流水车间调度问题

本文考虑现实中广泛存在的加工时间不确定的分布式置换流水车间调度问题(DPFSP),研究如何建立问题模型和设计求解算法,方可确保算法最终获得的解在多个典型DPFSP场景下,均具有能满足客户期望的较小优化目标值(即makespan值).在问题建模方面,首先,采用场景法构建多个不同典型场景以组成场景集(每个场景对应1个具有不同加工时间的DPFSP),并设定合适的makespan值作为场景阈值,用于在评价问题解时从场景集中动态筛选出“坏”场景子集;其次,在常规优化目标makespan的基础上,结合“坏”场景子集概念提出可实现鲁棒调度的新型优化目标,用于引导算法每代加强对当前“坏”场景子集中每个DPFSP场景对应解空间的搜索;然后,结合所提的新型优化目标,建立基于多场景的鲁棒DPFSP(MSRDPFSP).在算法设计方面,提出一种超启发式人工蜂群算法(HHABC)对MSRDPFSP进行求解.HHABC分为高、低两层结构,其中低层设计6种启发式操作(HO),高层采用人工蜂群算法控制和选择低层HOs来不断生成新的混合启发式算法,从而实现在不同场景对应解空间中的较深入搜索.在不同规模测试问题上的仿真实验与算法对比,验证了HHABC的有效性.

多目标混合流水车间调度问题求解算法

针对多目标不相关并行机混合流水车间调度问题,建立以最小化最大完工时间、机器总能耗和机器加工成本为目标的多目标数学模型。提出一种改进的基于分解的多目标进化算法(Improved multi-objective evolution algorithm based on decomposition,IMOEAD),采用均匀设计表生成初始权重向量,提高种群多样性,利用正态分布交叉并设计了自适应高斯变异来提高算法的全局搜索能力和局部搜索能力,在权重向量邻域中选择个体产生新解,运用非支配等级和拥挤距离更新外部档案。以反世代距离、世代距离和非支配解个数为性能指标,通过大量案例仿真,与非支配排序遗传算法Ⅱ和基于分解的多目标进化算法进行对比,结果验证了该算法的有效性。

分布式多柔性装配作业车间调度问题研究

针对分布式柔性装配作业车间环境,综合考虑了调度过程中的机器选择柔性、工人安排柔性和工序顺序柔性,构建了以最小化最大完工时间和最小化总能耗为优化目标的分布式多柔性装配作业车间调度问题(DMFAJSP)的数学模型。为求解DMFAJSP模型,提出了一种以分布估计算法为全局搜索组件、以邻域搜索算子为局部搜索组件的多维模因算法(MDMA)。最后,将所提出的算法与其他算法进行了对比试验,结果表明MDMA算法在求解DMFAJSP模型方面具有显著优势。

增强型混合离散差分进化算法求解阻塞流水车间调度问题

针对以最小化制造期为优化目标的阻塞流水车间调度问题,提出一种基于动态自适应的增强型混合离散差分进化算法。增强型混合离散差分进化算法采用基于工件排列的形式进行编码,首次利用带机器权重的PF规则与NEH启发规则联合构造初始种群,PF-NEH联合规则提升了初始解的质量和多样性;在差分进化的变异阶段,采用一种全新的分类变异策略,更有针对性地控制不同适应度个体的变异需求和方向;在交叉阶段,采用基于位置的交叉策略,保证得到一组合法完整的实验调度序列,并利用贪婪选择的方式确定目标个体;在局部搜索阶段,加入禁忌搜索算子,并融入一种新颖的兼顾集中性与多样性的自适应局部搜索机制,以动态平衡算法的全局粗搜索和局部细搜索。此外,为避免算法的早熟及后期易陷入局部最优,增加了多样性保持机制。最后,在典型算例上进行各种性能实验,验证了所提出的增强型混合离散差分进化算法的有效性和优越性。

基于混合迭代贪婪算法的分布式车间调度研究

分布式协同生产已逐渐成为经济全球化和生产国际化背景下的主要生产方式。以总装配时间为优化目标,提出一种混合迭代贪婪(HIG)算法,求解分布式装配阻塞流水车间调度问题(DABFSP)。在HIG算法的初始化阶段,采用问题驱动的构造启发式方法生成初始解。在HIG算法的破坏-重构阶段,采用基于邻域信息的扰动策略更新可行调度序列。在HIG算法的局部搜索阶段,使用基于邻域结构的插入操作进一步更新可行解。以一定概率接收较差调度序列进入下一代,从而避免算法早熟收敛。在试验阶段,选取了以不同工件数、机器数、工厂数和产品数为组合的共计900个问题实例,测试、比较了HIG算法和其他8种先进对比算法的性能。通过统计学分析得出结论:在求解DABFSP时,所提出的HIG算法具有显著的优势。

求解混合流水车间调度问题的分布估计算法

针对混合流水车间调度问题(Hybrid flow-shop scheduling problem,HFSP)的特点,设计了基于排列的编码和解码方法,建立了描述问题解空间的概率模型,进而提出了一种有效的分布估计算法(Estimation of distribution algorithm,EDA).该算法基于概率模型通过采样产生新个体,并基于优势种群更新概率模型的参数.同时,通过实验设计方法对算法参数设置进行了分析并确定了有效的参数组合.最后,通过基于实例的数值仿真以及与已有算法的比较验证了所提算法的有效性和鲁棒性.

基于候鸟优化算法的阻塞流水车间调度问题

针对以最小化总流程时间为目标的阻塞流水车间调度问题,提出一种有效的候鸟优化算法。采用最小最大算法产生初始鸟群中的领飞鸟,并以领飞鸟的邻域解作为初始鸟群中的其他个体,保证了初始鸟群的质量和多样性。通过最优插入+最优交换操作产生鸟群的邻域解,使算法能更快地搜索到高质量的解。基于迭代贪婪算法的毁坏和构造操作的局部搜索策略进一步增强了算法的局部寻优能力,使算法在集中搜索和分散搜索之间达到更合理的平衡。通过求解经典的Taillard基准算例验证了所提算法的高效性和鲁棒性。

求解柔性流水车间调度问题的高效分布估算算法

针对最小化最大完工时间的柔性流水车间调度,利用事件建模思想,线性化0-1混合整数规划模型,使得小规模调度问题通过Cplex可以准确求解,同时设计了高效分布估算算法来求解大规模调度问题.该算法采用的是一种新颖的随机规则解码方式,工件排序按选定的规则安排而机器按概率随机分配.针对分布估算算法中的概率模型不能随种群中个体各位置上工件的更新而自动调整的缺点,提出了自适应调整概率模型,该概率模型能提高分布估算算法的收敛质量和速度.同时为提高算法局部搜索能力和防止算法陷入局部最优,设计了局部搜索和重启机制.最后,采用实验设计方法校验了高效分布估算算法参数的最佳组合.算例和实例测试结果都表明本文提出的高效分布估算算法在求解质量和稳定性上均优于遗传算法、引力搜索算法和经典分布估算算法.

一种改进离散磷虾群的复杂产品装配调度算法

针对复杂产品装配车间调度问题,提出了一种改进的离散磷虾群(IDKH)装配调度算法。以工期最小化为调度目标,通过分析复杂产品装配工艺流程特点,建立了复杂产品装配调度模型。基于排列的编码方式和启发式规则的改进解码方式实现了调度解与种群个体之间的转换,并通过局部搜索和重启操作对标准磷虾群(KH)算法进行了改进,增强了算法的局部开采能力和全局搜索能力。采用正交试验方法分析了不同参数设置对算法性能的影响,确定了IDKH算法的最佳参数组合。基于标准实例对不同算法性能进行了比较,对比结果表明,IDKH装配调度算法在求解质量和稳定性上均优于遗传算法、分布估计算法、引力搜索算法和标准KH算法。

改进的萤火虫算法求解阻塞流水线调度问题

为了提高阻塞流水线调度问题的求解性能,提出了一种改进的萤火虫算法来求解阻塞流水线调度问题.首先,提出一种离散机制把个体的实数编码形式转换成离散的作业序列,从而使算法能够应用于离散问题求解;其次,设计一种双重初始化方法,并将NEH启发式方法应用到初始化中来,使算法有一个较优的初始化环境,提高初始种群的解的质量;此外,重新设计了算法中个体的移动方式来增大搜索域;最后,以一定概率对种群中的个体进行局部搜索,加强算法的局部搜索性能.通过对Taillard数据集中部分实例进行求解,实验结果验证了新算法的有效性.