Energy-Saving Distributed Flexible Job Shop Scheduling Optimization with Dual Resource Constraints Based on Integrated Q-Learning Multi-Objective Grey Wolf Optimizer

The distributed flexible job shop scheduling problem(DFJSP)has attracted great attention with the growth of the global manufacturing industry.General DFJSP research only considers machine constraints and ignores worker constraints.As one critical factor of production,effective utilization of worker resources can increase productivity.Meanwhile,energy consumption is a growing concern due to the increasingly serious environmental issues.Therefore,the distributed flexible job shop scheduling problem with dual resource constraints(DFJSP-DRC)for minimizing makespan and total energy consumption is studied in this paper.To solve the problem,we present a multi-objective mathematical model for DFJSP-DRC and propose a Q-learning-based multi-objective grey wolf optimizer(Q-MOGWO).In Q-MOGWO,high-quality initial solutions are generated by a hybrid initialization strategy,and an improved active decoding strategy is designed to obtain the scheduling schemes.To further enhance the local search capability and expand the solution space,two wolf predation strategies and three critical factory neighborhood structures based on Q-learning are proposed.These strategies and structures enable Q-MOGWO to explore the solution space more efficiently and thus find better Pareto solutions.The effectiveness of Q-MOGWO in addressing DFJSP-DRC is verified through comparison with four algorithms using 45 instances.The results reveal that Q-MOGWO outperforms comparison algorithms in terms of solution quality.

An Improved Harris Hawk Optimization Algorithm for Flexible Job Shop Scheduling Problem

Flexible job shop scheduling problem(FJSP)is the core decision-making problem of intelligent manufacturing production management.The Harris hawk optimization(HHO)algorithm,as a typical metaheuristic algorithm,has been widely employed to solve scheduling problems.However,HHO suffers from premature convergence when solving NP-hard problems.Therefore,this paper proposes an improved HHO algorithm(GNHHO)to solve the FJSP.GNHHO introduces an elitism strategy,a chaotic mechanism,a nonlinear escaping energy update strategy,and a Gaussian random walk strategy to prevent premature convergence.A flexible job shop scheduling model is constructed,and the static and dynamic FJSP is investigated to minimize the makespan.This paper chooses a two-segment encoding mode based on the job and the machine of the FJSP.To verify the effectiveness of GNHHO,this study tests it in 23 benchmark functions,10 standard job shop scheduling problems(JSPs),and 5 standard FJSPs.Besides,this study collects data from an agricultural company and uses the GNHHO algorithm to optimize the company’s FJSP.The optimized scheduling scheme demonstrates significant improvements in makespan,with an advancement of 28.16%for static scheduling and 35.63%for dynamic scheduling.Moreover,it achieves an average increase of 21.50%in the on-time order delivery rate.The results demonstrate that the performance of the GNHHO algorithm in solving FJSP is superior to some existing algorithms.

Research on Flexible Job Shop Scheduling Optimization Based on Segmented AGV

As a typical transportation tool in the intelligent manufacturing system,Automatic Guided Vehicle(AGV)plays an indispensable role in the automatic production process of the workshop.Therefore,integrating AGV resources into production scheduling has become a research hotspot.For the scheduling problem of the flexible job shop adopting segmented AGV,a dual-resource scheduling optimization mathematical model of machine tools and AGVs is established by minimizing the maximum completion time as the objective function,and an improved genetic algorithmis designed to solve the problem in this study.The algorithmdesigns a two-layer codingmethod based on process coding and machine tool coding and embeds the task allocation of AGV into the decoding process to realize the real dual resource integrated scheduling.When initializing the population,three strategies are designed to ensure the diversity of the population.In order to improve the local search ability and the quality of the solution of the genetic algorithm,three neighborhood structures are designed for variable neighborhood search.The superiority of the improved genetic algorithmand the influence of the location and number of transfer stations on scheduling results are verified in two cases.

A Novel Collaborative Evolutionary Algorithm with Two-Population for Multi-Objective Flexible Job Shop Scheduling

Job shop scheduling(JS)is an important technology for modern manufacturing.Flexible job shop scheduling(FJS)is critical in JS,and it has been widely employed in many industries,including aerospace and energy.FJS enables any machine from a certain set to handle an operation,and this is an NP-hard problem.Furthermore,due to the requirements in real-world cases,multi-objective FJS is increasingly widespread,thus increasing the challenge of solving the FJS problems.As a result,it is necessary to develop a novel method to address this challenge.To achieve this goal,a novel collaborative evolutionary algorithmwith two-population based on Pareto optimality is proposed for FJS,which improves the solutions of FJS by interacting in each generation.In addition,several experimental results have demonstrated that the proposed method is promising and effective for multi-objective FJS,which has discovered some new Pareto solutions in the well-known benchmark problems,and some solutions can dominate the solutions of some other methods.

具有模糊加工时间的Flexible Job-Shop Scheduling问题的研究

采用梯形模糊数来表征柔性生产系统中的时间参数,并在此基础上对具有模糊加工时间的柔性作业车间最小化制造跨度调度问题进行了描述。然后给出了基于粒子群优化的柔性作业车间调度模型。最后通过实例验证了模型的有效性。

SOLVING FLEXIBLE JOB SHOP SCHEDULING PROBLEM BY GENETIC ALGORITHM

The job shop scheduli ng problem has been studied for decades and known as an NP-hard problem. The fl exible job shop scheduling problem is a generalization of the classical job sche duling problem that allows an operation to be processed on one machine out of a set of machines. The problem is to assign each operation to a machine and find a sequence for the operations on the machine in order that the maximal completion time of all operations is minimized. A genetic algorithm is used to solve the f lexible job shop scheduling problem. A novel gene coding method aiming at job sh op problem is introduced which is intuitive and does not need repairing process to validate the gene. Computer simulations are carried out and the results show the effectiveness of the proposed algorithm.

A Review on Swarm Intelligence and Evolutionary Algorithms for Solving Flexible Job Shop Scheduling Problems

Flexible job shop scheduling problems(FJSP)have received much attention from academia and industry for many years.Due to their exponential complexity,swarm intelligence(SI)and evolutionary algorithms(EA)are developed,employed and improved for solving them.More than 60%of the publications are related to SI and EA.This paper intents to give a comprehensive literature review of SI and EA for solving FJSP.First,the mathematical model of FJSP is presented and the constraints in applications are summarized.Then,the encoding and decoding strategies for connecting the problem and algorithms are reviewed.The strategies for initializing algorithms?population and local search operators for improving convergence performance are summarized.Next,one classical hybrid genetic algorithm(GA)and one newest imperialist competitive algorithm(ICA)with variables neighborhood search(VNS)for solving FJSP are presented.Finally,we summarize,discus and analyze the status of SI and EA for solving FJSP and give insight into future research directions.

A Modi ed Iterated Greedy Algorithm for Flexible Job Shop Scheduling Problem

The flexible job shop scheduling problem(FJSP) is considered as an important problem in the modern manufacturing system. It is known to be an NP-hard problem. Most of the algorithms used in solving FJSP problem are categorized as metaheuristic methods. Some of these methods normally consume more CPU time and some other methods are more complicated which make them di cult to code and not easy to reproduce. This paper proposes a modified iterated greedy(IG) algorithm to deal with FJSP problem in order to provide a simpler metaheuristic, which is easier to code and to reproduce than some other much more complex methods. This is done by separating the classical IG into two phases. Each phase is used to solve a sub-problem of the FJSP: sequencing and routing sub-problems. A set of dispatching rules are employed in the proposed algorithm for the sequencing and machine selection in the construction phase of the solution. To evaluate the performance of proposed algorithm, some experiments including some famous FJSP benchmarks have been conducted. By compared with other algorithms, the experimental results show that the presented algorithm is competitive and able to find global optimum for most instances. The simplicity of the proposed IG provides an e ective method that is also easy to apply and consumes less CPU time in solving the FJSP problem.

Solving flexible job shop scheduling problem by a multi-swarm collaborative genetic algorithm

The flexible job shop scheduling problem(FJSP),which is NP-hard,widely exists in many manufacturing industries.It is very hard to be solved.A multi-swarm collaborative genetic algorithm(MSCGA)based on the collaborative optimization algorithm is proposed for the FJSP.Multi-population structure is used to independently evolve two sub-problems of the FJSP in the MSCGA.Good operators are adopted and designed to ensure this algorithm to achieve a good performance.Some famous FJSP benchmarks are chosen to evaluate the effectiveness of the MSCGA.The adaptability and superiority of the proposed method are demonstrated by comparing with other reported algorithms.

Dynamic Scheduling of Flexible Job Shops

Aim of this research is to minimize makespan in the flexible job shop environment by the use of genetic algorithms and scheduling rules. Software is developed using genetic algorithms and scheduling rules based on certain constraints such as non-preemption of jobs, recirculation, set up times, non-breakdown of machines etc. Purpose of the software is to develop a schedule for flexible job shop environment, which is a special case of job shop scheduling problem. Scheduling algorithm used in the software is verified and tested by using MT10 as benchmark problem, presented in the flexible job shop environment at the end. LEKIN software results are also compared with results of the developed software by the use of MT10 benchmark problem to show that the latter is a practical software and can be used successfully at BIT Training Workshop.

An improved multi-objective optimization algorithm for solving flexible job shop scheduling problem with variable batches

In order to solve the flexible job shop scheduling problem with variable batches,we propose an improved multiobjective optimization algorithm,which combines the idea of inverse scheduling.First,a flexible job shop problem with the variable batches scheduling model is formulated.Second,we propose a batch optimization algorithm with inverse scheduling in which the batch size is adjusted by the dynamic feedback batch adjusting method.Moreover,in order to increase the diversity of the population,two methods are developed.One is the threshold to control the neighborhood updating,and the other is the dynamic clustering algorithm to update the population.Finally,a group of experiments are carried out.The results show that the improved multi-objective optimization algorithm can ensure the diversity of Pareto solutions effectively,and has effective performance in solving the flexible job shop scheduling problem with variable batches.

模糊生产系统中的Flexible Job-Shop调度模型

引入柔性生产系统下的调度过程中存在的不确定性问题,接着对存在模糊处理时间和模糊操作间隔的柔性工作车间调度问题进行描述,并给出基于模糊逻辑和遗传优化的调度模型,最后通过实例验证模型的有效性。

免疫遗传算法在柔性Job-shop调度问题中的应用

借鉴生物免疫机理提出了一种求解柔性Job shop车间调度问题的免疫遗传算法.仿真结果表明,该算法有效地避免了传统遗传算法中因选择压力过大造成早熟现象的发生,显著地提高了遗传算法(GA)对全局最优解的搜索能力和收敛速度,这将使遗传算法在众多实际的优化问题上具有更广泛的应用前景.

基于免疫算法的多目标柔性job-shop调度研究

建立了多目标柔性job-shop调度模型;然后提出了带有保优机制免疫算法,利用免疫记忆、接种疫苗等机制,在算法中保留并充分利用每代最优抗体和局部最优基因,使算法加快收敛;针对这类调度的柔性,提出基于工序设备双层抗体编码方案和基于设备能力空间的解码方案;采用多目标分级评价方法同时对时间、设备和成本等多目标进行评价和优化.最后,用Benchm ark标准问题的仿真和西安航空发动机(集团)有限公司的调度实例验证了算法、策略和调度模型的有效性和优越性.

基于免疫和模拟退火原理的柔性Job-Shop调度研究

为了研究柔性Job-Shop调度的不同解法,采用免疫和模拟退化原理求解柔性Job-Shop调度问题。研究了柔性处理问题,提出两种调度策略;分析了算法混合的思想,提出了免疫模拟退火算法。分别采用不同调度策略,使用不同调度算法对多种国际标准算例进行了仿真,仿真结果表明,该模型、策略和算法能够解决柔性Job-Shop调度问题。

基于适应度分析的AGA求解柔性Job-shop调度问题

针对柔性作业车间调度问题(FJSP)求解过程中具有的阶段性特点和遗传算法(GA)自身的演进特性,结合目前求解FJSP的GA所存在的问题,文中提出一种基于适应度值及其分布进行调整的自适应遗传算法(AGA)。在分析传统GA求解FJSP过程中各典型阶段的适应度分布特点基础上,提取适应度分布范围W和最优值所占比例F作为识别、区分各阶段的表征性参数。并结合各阶段特点提出合理的参数设置。实例证明该算法求解加速了收敛过程,提高了搜索效率,在避免陷入局部最优的同时提高了求解精度。

遗传算法求解多目标柔性Job-shop问题

本文描述了基于可变机器约束的多目标柔性Job-shop调度问题模型,并应用一种改进的遗传算法进行求解。我们采用了表示工序先后顺序及机器选择的二维编码方式,以多目标优化函数为度量,通过三种遗传操作扩展后代的多样性和算法的搜索空间。仿真结果验证了该算法能有效解决多目标优化问题。

求解柔性Job-shop调度问题的混合粒子群算法

针对柔性Job-shop调度问题,提出了一种混合粒子群算法,该算法对设备分配和工序调度采用不同的编码方法和更新方式,提出了基于设备的初始化算法和基于工件序列的初始化算法来提高PSO初始种群的质量,同时提出了4种不同的邻域结构,分别实现了基于此四种邻域结构的模拟退火搜索算法,将它与粒子群算法进行有效混合来提高粒子群算法的局部搜索能力,实验表明HPSO的有效性.

改进遗传算法求解柔性job-shop调度问题

本文提出了一种改进遗传算法用于求解柔性作业调度问题 (FJSP) .针对工序在不同的机器上加工的差异性 ,我们提出了用能力系数来表征机器的加工能力 ,不仅可以简化处理而且也较为符合实际情况 .该改进算法通过轮换的方法 ,将加工任务分配到不同的并行机器上去执行 ,有利于机器的负载平衡 .同时 ,在方法的实现过程中 ,利用面向对象的思想 ,将问题进行抽象 ,用不同的类封装车间 ,机器和工序信息 ,这不仅符合现代编程风格 ,简化编程 ,也有利于系统的扩展和重构 .仿真结果表明 ,不仅整个加工过程的执行时间得到了优化 ,而且各类机器完成的操作数相同 ,使用的时间也较为平均 ,达到了设计目标 .同时该方法的计算速度也较快 。

遗传算法在多目标柔性Job-Shop调度中应用

针对Job-Shop调度问题,提出了一种双染色体的遗传算法编码新方法,采用对染色体的分离交叉重组操作生成更多的优秀个体,设计了多种群、遗传参数自适应调整来提高种群的多样性。使用优势档案群保存当代最优Pareto解。最后给出仿真结果,与经典的遗传算法求得的结果比较,证明了该算法的有效性和先进性。