基于粒子群优化的模糊交货期惩罚问题的研究

文章首先介绍了现实柔性工作车间调度中的模糊加工时间和模糊交货期问题,接着阐述了模糊理论中有符号距离、区间数距离等相关概念,并以此为基础构造目标惩罚函数,然后给出了基于粒子群算法的调度模型以解决柔性工作车间调度中的模糊交货期惩罚问题,最后通过实例验证了模型的可行性和有效性。     

生物地理学算法求解柔性车间作业调度问题

针对加工设备和操作工人双资源约束的柔性作业车间调度问题,建立以生产时间和生产成本为目标函数的柔性作业车间调度模型,提出基于模糊Pareto支配的生物地理学算法,采用模糊Pareto支配的方法计算解之间的支配关系并对Pareto解集排序,进行全局最优值的更新,并采用余弦迁移模型来改善生物地理学算法的收敛速度。将该方法应用于某模具车间的柔性作业车间调度中,仿真结果验证了该方法的可行性和有效性。     

考虑非确定加工时间的柔性作业车间调度问题研究

加工时间不确定的柔性作业车间调度问题已逐渐成为生产调度研究的热点。采用区间表示加工时间范围,利用时间Petri网建立区间柔性作业车间调度问题形式化模型,并运用网模型的状态类图进行可达性分析,计算出所有可行变迁触发序列。通过对触发序列的时序分析,提出一种有效的逆向分步法来构造触发序列的时间约束不等式,进而求解线性规划问题来获得最小完工时间下界(上界)的优化调度策略。最后利用实例分析验证了模型及所提方法的正确性和可行性,为实际的区间柔性作业车间调度问题提供有效方案。     

求解区间柔性作业车间调度的多目标进化算法

针对不确定多目标柔性作业车间调度问题,将工序加工时间采用区间数表示,以区间最大完工时间和区间机器总负荷为优化目标,构建多目标区间柔性作业车间调度模型,并设计一种多目标进化优化算法对该模型进行求解.算法采用混合策略生成初始化种群,并采用贪婪插入法对染色体进行解码,通过基于可能度的占优关系评价个体性能,将区间目标归一化结合拥挤距离反映优化解的分布情况.实验结果验证了所提出算法的有效性.     

混合粒子群算法在模糊柔性车间作业计划中的应用*

针对现实生产系统中存在的时间参数模糊化问题,给出了一种基于区间值梯形模糊数的模糊柔性车间作业计划问题模型。在对模糊柔性车间作业计划问题进行有效求解方面,针对基本粒子群算法容易陷入局部最优的问题,随后给出了一种基于遗传操作的混合粒子群算法,利用遗传算法思想对粒子进行交叉、变异操作,增强了算法跳出局部最优的能力。仿真实验表明,该算法具有可行性和有效性。     

基于多种群蚁群算法的柔性作业车间调度研究

针对柔性作业车间调度的特点,设计了柔性作业车间调度析取图模型,结合蚁群分工组织的工作方式,给出了基于竞争规则的多种群蚁群算法求解方法。算法中不同种群的蚂蚁被放置在析取图中不同的工序节点上,通过核心种群的引导,充分发挥蚁群协作竞争的并行高效特点,满足柔性作业车间调度的要求。仿真实验表明该算法求解柔性作业车间调度具有可行性和有效性。     

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。     

双资源批量生产柔性作业车间多目标调度方法

针对双资源批量生产柔性作业车间调度问题,提出了一种多目标精细化调度方法。针对双资源批量生产柔性作业车间多目标调度问题特点,建立了一类以制造成本最低和完工时间最短为优化目标的双资源等量分批柔性作业车间调度多目标优化模型;提出了5种双资源批量生产柔性作业车间精细化调度技术;针对模型提出并设计了一种改进的NSGA II算法。通过案例分析验证了该方法的有效性。     

基于模糊物元模型的高维多目标FJSP研究*

为解决高维多目标柔性作业车间调度问题,提出了一种基于模糊物元模型与粒子群算法的模糊粒子群算法（Fuzzy Particle Swarm Optimization,FPSO）。该算法以模糊物元分析理论为依据,采用复合模糊物元与基准模糊物元之间的欧式贴近度作为适应度值引导粒子群算法的进化,并引入具有容量限制的外部存储器保留较优的Pareto非支配解以供决策者选择。此外,构建了优化目标为最大完工时间、设备总负荷、加工成本、最大设备负荷与加工质量的高维多目标优化模型,并以Kacem基准问题与实际生产数据为例进行仿真模拟与对比分析。结果表明,该算法具有良好的收敛性且搜索到的非支配解分布性较好,能够有效地应用于求解高维多目标柔性作业车间调度问题。     

基于改进NSGA-Ⅲ算法的多目标柔性作业车间调度

针对多目标柔性作业车间调度问题求解效率低的难题,提出了一种改进NSGA-Ⅲ(non-dominated sorting genetic algorithm-Ⅲ)调度优化算法。首先,建立了考虑直接能耗和间接能耗的多目标柔性作业车间调度模型;然后,结合两段式编码设计了一种混合分配策略,应用于种群的初始化,并通过进化算子确定子代种群的生成;最后,基于参考点的小生境选择策略,利用双层正交边界交叉方法生成一组预定的参考点,并根据种群熵值变化率设计自适应淘汰策略用于非支配精英存储策略。通过对11个作业车间调度问题算例进行改造,验证了改进算法求解多目标柔性作业车间调度问题具有较高的求解质量和求解效率。     

A fast estimation of distribution algorithm for dynamic fuzzy flexible job-shop scheduling problem

Due to the complicated circumstances in workshop, most of the conventional scheduling algorithms fail to meet the requirements of instantaneity, complexity, and dynamicity in job-shop scheduling problems. Compared with the static algorithms, dynamic scheduling algorithms can better fulfill the requirements in real situations. Considering that both flexibility and fuzzy processing time are common in reality, this paper focuses on the dynamic flexible job-shop scheduling problem with fuzzy processing time (DfFJSP). By adopting a series of transforming procedures, the original DfFJSP is simplified as a traditional static fuzzy flexible job-shop problem, which is more suitable to take advantage of the existing algorithms. In this paper, estimation of distribution algorithm (EDA) is brought into address the post-transforming problem. An improved EDA is developed through making use of several elements omitted in original EDA, including the historical-optimal solution and the standardized solution vectors. The improved algorithm is named as fast estimation of distribution algorithm (fEDA) since it performs better in convergence speed and computation precision, compared with the original EDA. To sum up, the ingenious transformation and the effective fEDA algorithm provide an efficient and practical way to tackle the dynamic flexible fuzzy job-shop scheduling problem.     

Fuzzy constraints in job-shop scheduling

This paper proposes an extension of the constraint-based approach to job-shop scheduling, that accounts for the flexibility of temporal constraints and the uncertainty of operation durations. The set of solutions to a problem is viewed as a fuzzy set whose membership function reflects preference. This membership function is obtained by an egalitarist aggregation of local constraint-satisfaction levels. Uncertainty is qualitatively described in terms of possibility distributions. The paper formulates a simple mathematical model of job-shop scheduling under preference and uncertainty, relating it to the formal framework of constraint-satisfaction problems in artificial intelligence. A combinatorial search method that solves the problem is outlined, including fuzzy extensions of well-known look-ahead schemes.This paper is partially based on the Ph.D. dissertation of the second author. Preliminary versions have been presented at the IJCAI'93 Workshop on Knowledge-Based Scheduling, Chambéry, France, September 1993, and at the EURO XIII/OR 36 Conference, Glasgow, UK, July 1994.     

一种求解模糊柔性Job-shop调度问题的多智能体免疫算法

结合实际纸盆车间的生产特点,考虑了模具、机器和操作人员等多种资源约束,以及加工时间和交货日期的不确定性等因素,建立了批量可变的模糊柔性Job-shop调度问题模型。同时结合多智能体系统以及生命科学中免疫系统的免疫信息处理机制,构造了一种用于求解实际Job-shop调度问题的多智能体免疫算法。该方法通过智能体与其邻居间的竞争操作以及自学习操作,并结合自适应疫苗接种、交叉、变异和模拟退火操作,来更新每个智能体在解空间的位置,使其能够更精确地收敛到全局最优解。最后对某纸盆车间的调度实例进行了求解,实验结果验证了算法的有效性。     

Semantics of Schedules for the Fuzzy Job-Shop Problem

In the sequel, we consider the fuzzy job-shop problem, which is a variation of the job-shop problem where duration of tasks may be uncertain and where due-date constraints are allowed to be flexible. Uncertain durations are modeled using triangular fuzzy numbers, and due-date constraints are fuzzy sets with decreasing membership functions expressing a flexible threshold ldquoless than.rdquo Also, the objective function is built using fuzzy decision-making theory. We propose the use of a genetic algorithm (GA) to find solutions to this problem. Our aim is to provide a semantics for this type of problems and use this semantics in a methodology to analyze, evaluate, and, therefore, compare solutions. Finally, we present the results obtained using the GA and evaluate them using the proposed methodology.     

An artificial immune system for solving production scheduling problems: a review

This article reviews the production scheduling problems focusing on those related to flexible job-shop scheduling. Job-shop and flexible job-shop scheduling problems are one of the most frequently encountered and hardest to optimize. This article begins with a review of the job-shop and flexible job-shop scheduling problem, and follow by the literature on artificial immune systems (AIS) and suggests ways them in solving job-shop and flexible job-shop scheduling problems. For the purposes of this study, AIS is defined as a computational system based on metaphors borrowed from the biological immune system. This article also, summarizes the direction of current research and suggests areas that might most profitably be given further scholarly attention.     

An efficient genetic algorithm for job-shop scheduling problems with fuzzy processing time and fuzzy duedate

In this paper, by considering the imprecise or fuzzy nature of the data in real-world problems, job-shop scheduling problems with fuzzy processing time and fuzzy duedate are formulated and a genetic algorithm which is suitable for solving the formulated problems is proposed. On the basis of the agreement index of fuzzy duedate and fuzzy completion time, the formulated fuzzy job-shop scheduling problems are interpreted so as to maximize the minimum agreement index. For solving the formulated fuzzy job-shop scheduling problems, an efficient genetic algorithm is proposed by incorporating the concept of similarity among individuals into the genetic algorithms using the Gannt chart. As illustrative numerical examples, both 6×6 and 10×10 job-shop scheduling problems with fuzzy duedate and fuzzy processing time are considered. Through the comparative simulations with simulated annealing, the feasibility and effectiveness of the proposed method are demonstrated.