Research on flexible job shop scheduling under finite transportation conditions for digital twin workshop

Flexible job shop scheduling is one of the most effective methods for solving multiple varieties and small batch production problems in discrete manufacturing enterprises. However, limitations of actual transportation conditions in the flexible job shop scheduling problem (FJSP) are neglected, which limits its application in actual production. In this paper, the constraint influence imposed by finite transportation conditions in the FJSP is addressed. The coupling relationship between transportation and processing stages is analyzed, and a finite transportation conditions model is established. Then, a three-layer encoding with redundancy and decoding with correction is designed to improve the genetic algorithm and solve the FJSP model. Furthermore, an entity-JavaScript Object Notation (JSON) method is proposed for transmission between scheduling services and Digital Twin (DT) virtual equipment to apply the scheduling results to the DT system. The results confirm that the proposed finite transportation conditions have a significant impact on scheduling under different scales of scheduling problems and transportation times.     

考虑工件移动时间的柔性作业车间调度问题研究

分析生产车间的实际生产状况,建立了考虑工件移动时间的柔性作业车间调度问题模型,该模型考虑了以往柔性作业车间调度问题模型所没有考虑的工件在加工机器间的移动时间,使柔性作业车间调度问题更贴近实际生产,让调度理论更具现实性。通过对已有的改进遗传算法的遗传操作进行重构,设计出有效求解考虑工件移动时间的柔性作业车间调度问题的改进遗传算法。最后对实际案例进行求解,得到调度甘特图和析取图,通过对甘特图和析取图的分析验证了所建考虑工件移动时间的柔性作业车间调度问题模型的可行性和有效性。     

A hybrid genetic and variable neighborhood descent algorithm for flexible job shop scheduling problems

This paper addresses the flexible job shop scheduling problem (fJSP) with three objectives: min makespan, min maximal machine workload and min total workload. We developed a hybrid genetic algorithm (GA) for the problem. The GA uses two vectors to represent solutions. Advanced crossover and mutation operators are used to adapt to the special chromosome structure and the characteristics of the problem. In order to strengthen the search ability, individuals of GA are first improved by a variable neighborhood descent (VND), which involves two local search procedures: local search of moving one operation and local search of moving two operations. Moving an operation is to delete the operation, find an assignable time interval for it, and allocate it in the assignable interval. We developed an efficient method to find assignable time intervals for the deleted operations based on the concept of earliest and latest event time. The local optima of moving one operation are further improved by moving two operations simultaneously. An extensive computational study on 181 benchmark problems shows the performance of our approach.     

Discrepancy search for the flexible job shop scheduling problem

The flexible job shop scheduling problem (FJSP) is a generalization of the classical job shop problem in which each operation must be processed on a given machine chosen among a finite subset of candidate machines. The aim is to find an allocation for each operation and to define the sequence of operations on each machine, so that the resulting schedule has a minimal completion time. We propose a variant of the climbing discrepancy search approach for solving this problem. We also present various neighborhood structures related to assignment and sequencing problems. We report the results of extensive computational experiments carried out on well-known benchmarks for flexible job shop scheduling. The results demonstrate that the proposed approach outperforms the best-known algorithms for the FJSP on some types of benchmarks and remains comparable with them on other ones.     

多目标柔性作业调度的优化研究

针对以生产周期、生产成本、设备利用率为目标的柔性作业调度问题,基于混合遗传算法提出了一种新的优化求解方法。首先建立了该类问题的调度模型,基于工序编码的染色体决定了工序调度的优先级;利用无量纲的标准化处理方法统一目标量纲;然后,利用层次分析法将多目标问题转化为单目标问题,同时为了保证算法的收敛性,在基本遗传算法框架的基础上集成了禁忌搜索算法,从而延缓或避免了早熟收敛的发生。最后通过实验仿真,证明提出的方法可以有效解决该类多目标柔性作业调度问题。     

Co-evolutionary genetic algorithm for fuzzy flexible job shop scheduling

Fuzzy flexible job shop scheduling problem (FfJSP) is the combination of fuzzy scheduling and flexible scheduling in job shop environment, which is seldom investigated for its high complexity. We developed an effective co-evolutionary genetic algorithm (CGA) for the minimization of fuzzy makespan. In CGA, the chromosome of a novel representation consists of ordered operation list and machine assignment string, a new crossover operator and a modified tournament selection are proposed, and the population of job sequencing and the population of machine assignment independently evolve and cooperate for converging to the best solutions of the problem. CGA is finally applied and compared with other algorithms. Computational results show that CGA outperforms those algorithms compared.     

Effective ensembles of heuristics for scheduling flexible job shop problem with new job insertion

This study investigates the flexible job shop scheduling problem (FJSP) with new job insertion. FJSP with new job insertion includes two phases: initializing schedules and rescheduling after each new job insertion. Initializing schedules is the standard FJSP problem while rescheduling is an FJSP with different job start time and different machine start time. The time to do rescheduling is the same as the time of new job insertion. Four ensembles of heuristics are proposed for scheduling FJSP with new job insertion. The objectives are to minimize maximum completion time (makespan), to minimize the average of earliness and tardiness (E/T), to minimize maximum machine workload (Mworkload) and total machine workload (Tworkload). Extensive computational experiments are carried out on eight real instances from remanufacturing enterprise. The results and comparisons show the effectiveness of the proposed heuristics for solving FJSP with new job insertion.     

精英进化策略求解柔性作业车间调度问题

柔性作业车间调度问题允许一道工序可以在多个可选机器上进行加工,减少了机器约束,增加了求解难度,是典型的NP难问题。结合其特点,设计了一种精英进化策略遗传算法求解柔性作业车间调度问题。提出了解阀值的指标,使得外部精英库中不仅保留算法每次迭代过程中的最优解,而且保留最优值相等而调度方案不同的解,为调度人员提供更多选择。通过制造企业中的实际案例和其它文献中的案例对提出的精英进化策略遗传算法进行了测试,结果证明提出方法的有效性。     

多阶段人机协同求解动态柔性作业车间调度问题

针对柔性作业车间生产环境中机器故障的动态调度问题, 以最小最大完工时间和最小偏差为目标, 结合车间调度人员的经验建立多阶段人机协同动态调度策略. 在不同阶段该策略的调度人员可参与优化过程, 提高方案的可行性和稳定性. 设计外部精英库中最优解的更新方法, 依据海明距离保留具有相同目标值的多种调度方案. 最后通过实例仿真验证了该模型和算法的有效性、可行性和稳定性, 更便于有效地指导生产实践.

     

基于新型帝国竞争算法的高维多目标柔性作业车间调度

针对高维多目标柔性作业车间调度问题(MaOFJSP),提出了一种新型帝国竞争算法(ICA)以同时最小化最大完成时间、最大拖期、最大机器负荷和总能耗,该算法采用新方法构建初始帝国使得大多数殖民国家分配数量相近的殖民地,引入殖民国家的同化,并应用新的革命策略和帝国竞争方法以获得高质量解.最后通过大量实验测试ICA新策略对其性能的影响并将ICA与其他算法对比,实验结果表明新型ICA在求解MaOFJSP方面具有较强的优势.     

改进樽海鞘群算法求解柔性作业车间调度问题

针对以最小化最大完工时间的柔性作业车间调度问题,在标准樽海鞘群算法(salp swarm slgorithm, SSA)的基础上,提出一种改进的樽海鞘群算法。采用基于工序和基于设备的二维向量进行编码,并考虑设备负载进行种群初始化。基于Lévy飞行对领导者位置更新方式进行离散化改进;在追随者位置更新公式中引入自适应惯性权重,使算法的全局搜索和局部搜索能力得到更好的平衡。为提高搜索效率,设计了交叉算子和基于关键路径的变异算子来保证种群的多样性,同时引入模拟退火(simulated annealing,SA)策略,改善算法的局部搜索能力。通过采用标准算例进行对比计算,结果验证了所提算法的有效性。     

猫群优化算法求解柔性作业车间调度问题

根据柔性作业车间的生产特点,对基本猫群优化算法进行设计和改进,提出了一种改进型猫群优化算法（Improved Cat Swarm Optimization,ICSO）,用于优化车间内工件的最大完工时间。算法给出了两段式个体位置编码方式和基于启发式算法的种群初始化策略;采用自适应行为模式选择方法,使其能够有效协调算法全局和局部搜索;提出了基于多样化搜寻算子的搜寻模式,增强算法的全局搜索能力;提出了基于莱维飞行的跟踪模式,增强算法的局部搜索能力。此外,算法中还引入了跳跃机制,使算法性能能够得到进一步的改善。实验数据表明ICSO算法在求解FJSP问题方面具有一定的有效性。     

Auction-based cooperation mechanism to parts scheduling for flexible job shop with inter-cells

This paper addresses cell part scheduling (CPS) problem. In this problem, parts may need to visit machines in different cells with consideration Inter-cell transportation time. The processing route of parts can be flexible. The objective is to minimize the overall process make-span. An integer nonlinear programming (INLP) model is formulated to determine the schedule scheme of all parts. An auction-based heuristic approach is proposed to solve it, which focuses on dealing with cooperation between different cells. In this approach, each cell can act as an auctioneer or a bidder. In an auction, it contains call for auction, bid construction, modify bids and winner announcement. A reference matrix is also applied in the auction to guarantee parts to finish as early as possible. Numerical experiments were conducted to test the auction-based approach. The results demonstrate the effectiveness, sensitivity and stability of the proposed auction-based approach, especially suitable for instances in large scale within a short calculating time.     

A GEP-based reactive scheduling policies constructing approach for dynamic flexible job shop scheduling problem with job release dates

Flexible job shop scheduling problem (FJSSP) is generalization of job shop scheduling problem (JSSP), in which an operation may be processed on more than one machine each of which has the same function. Most previous researches on FJSSP assumed that all jobs to be processed are available at the beginning of scheduling horizon. The assumption, however, is always violated in practical industries because jobs usually arrive over time and can not be predicted before their arrivals. In the paper, dynamic flexible job shop scheduling problem (DFJSSP) with job release dates is studied. A heuristic is proposed to implement reactive scheduling for the dynamic scheduling problem. An approach based on gene expression programming (GEP) is also proposed which automatically constructs reactive scheduling policies for the dynamic scheduling. In order to evaluate the performance of the reactive scheduling policies constructed by the proposed GEP-based approach under a variety of processing conditions three factors, such as the shop utilization, due date tightness, problem flexibility, are considered in the simulation experiments. The scheduling performance measure considered in the simulation is the minimization of makespan, mean flowtime and mean tardiness, respectively. The results show that GEP-based approach can construct more efficient reactive scheduling policies for DFJSSP with job release dates under a big range of processing conditions and performance measures in the comparison with previous approaches.     

多目标柔性车间调度的二级精选算法

多目标柔性车间调度问题与实际更加符合,是典型的多目标组合优化问题,运用传统算法求解会产生大量的解空间,找到最优解是非常棘手的问题.基于此,提出了二阶优化方法,即基于遗传算法的初级单目标优化和基于多目标决策体系的高级精选优化的组合优化算法.初级优化阶段,采用改进的遗传算法,选用企业最关心的单目标选出一组Pareto解集;...     

Population-based neighborhood search for job shop scheduling with interval processing time

This paper applies interval number theory to production scheduling for its advantage in uncertainty modeling. A job shop scheduling problem with interval processing time is first described and then a population-based neighborhood search (PNS) is presented to optimize the interval makespan of the problem. In PNS, an ordered operation-based representation is used and a decoding procedure is constructed by using operations of interval numbers, in which there are no approximate treatments. It is proved that the possible actual makespan of each schedule are contained in its interval makespan. A swap operation and binary tournament selection are applied to update the population. PNS is finally tested by using some instances and computational results show that PNS can provide better results than some methods from the literature.     

遗传算法求解柔性job shop 调度问题

在分析柔性job shop调度问题特点的基础上，提出一种新的求解该问题的遗传算法，即利用编码方法表示各工序的优先调度顺序及工序的加工机器，由此产生可行的调度方案，使得问题的约束条件在染色体中得以体现．所设计的遗传算子不仅能避免非法调度解的出现，保证后代的多样性，而且可使算法具有记忆功能．仿真结果证明了该算法的有效性．     

求解柔性作业车间调度的GATOC混合方法

柔性作业车间调度问题是经典作业车间调度问题的扩展,它允许工序在可选加工机器集中任意一台上加工,加工时间随加工机器不同而不同。针对柔性作业车间调度问题的特点,提出一种基于约束理论的局部搜索方法,对关键路径上的机器的负荷率进行比较,寻找瓶颈机器,以保证各机器之间的负荷平衡。为了克服传统遗传算法早熟和收敛慢的缺点,设计多种变异操作,增加种群多样性。为了更好保留每代中的优良解,设计了基于海明距离的精英解保留策略。运用提出的算法求解基准测试问题,验证了算法的可行性和有效性。     

超启发式遗传算法求解模糊柔性作业车间调度

本文提出一种混合超启发式遗传算法(HHGA),用于求解一类采用三角模糊数表示工件加工时间的模糊柔性作业车间调度问题(FFJSP),优化目标为最小化最大模糊完工时间(即makespan).首先,详细分析现有三角模糊数排序准则性质,并充分考虑取大操作的近似误差和模糊度,设计一种更为准确的三角模糊数排序准则,可合理计算FFJSP和其他各类调度问题解的目标函数值.其次,为实现对FFJSP解空间不同区域的有效搜索, HHGA将求解过程分为两层,高层利用带自适应变异算子的遗传算法对6种特定操作(即6种有效邻域操作)的排列进行优化;低层将高层所得的每种排列作为一种启发式算法,用于对低层相应个体进行操作来执行紧凑的变邻域局部搜索并生成新个体,同时加入模拟退火机制来避免搜索陷入局部极小.最后,仿真实验和算法比较验证了所提排序准则和HHGA的有效性.     

自适应Jaya算法求解多目标柔性车间绿色调度问题

针对多目标柔性作业车间绿色调度问题(MO-FJGSP),建立优化目标为最大完工时间、机器总负荷和能耗最小的多目标数学模型,并设计一种基于Pareto最优解的自适应多目标Jaya算法(SAMO-Jaya)对该问题进行优化求解.算法采用两级实数编码方式实现工序排序与机器分配的编码表示,并设计一种转换机制实现将Jaya连续解...