基于PetriNets和混合遗传算法的双资源JSP动态优化调度

以带有控制器的Petri网为建模工具对柔性生产调度中的离散事件建模,利用遗传算法和模拟退火算法获得调度结果,并通过Petri网进行控制.用于解决作业车间的加工受到机床、操作工人等生产资源制约条件下的优化调度.以生产周期为目标进行的优化调度,将遗传算法和模拟退火相结合.通过多种交叉、变异、概率更新选择、再分配策略等遗传和模拟操作,得到目标的最优或次优解.对算法进行了仿真研究,仿真结果表明该算法是有效性.     

Pareto archived simulated annealing for job shop scheduling with multiple objectives

In this paper, the job shop scheduling problem is studied with the objectives of minimizing the makespan and the mean flow time of jobs. The simultaneous consideration of these objectives is the multi-objective optimization problem under study. A metaheuristic procedure based on the simulated annealing algorithm called Pareto archived simulated annealing (PASA) is proposed to discover non-dominated solution sets for the job shop scheduling problems. The seed solution is generated randomly. A new perturbation mechanism called segment-random insertion (SRI) scheme is used to generate a set of neighbourhood solutions to the current solution. The PASA searches for the non-dominated set of solutions based on the Pareto dominance or through the implementation of a simple probability function. The performance of the proposed algorithm is evaluated by solving benchmark job shop scheduling problem instances provided by the OR-library. The results obtained are evaluated in terms of the number of non-dominated schedules generated by the algorithm and the proximity of the obtained non-dominated front to the Pareto front.     

Determination of due dates in job shop scheduling by simulated annealing

The scheduling of n jobs to m machines in a job shop is considered. A predefined due date, a release time and the minimization of the maximal job's lateness is the objective assigned to each job. A search space consisting of triads (job, operation, machine) is formulated, and an iterrative improvement approach, the simulated annealing method, is then used to obtain feasible and global optimal solution. The simulated annealing method is applied to two alternative energy functions to model the maximum lateness. For calculation of the first energy function at each step, complete schedules are created and the lateness of each job is derived by abstracting the job's completion time from the corresponding due date. The second energy function is calculated on the basis of partial estimates often used by pairwise interchange techniques. The convergence of the algorithm in relation to the initial temperature, temperature iterrations and temperature cycles has been verified in various case studies. Specific characteristics of the scheduling, such as its dimensionality and the deviation of the total processing time from the due dates, were considered. Common characteristics derived were subsequently used for the definition of an efficient annealing schedule.     

基于混合粒子群算法具有交货期瓶颈的作业车间调度问题

为了解决一类具有交货期瓶颈的作业车间调度问题,给出了基于订单优势的交货期满意度和交货期瓶颈资源确定方法,以工件拖期加权和最小为优化目标,建立了基于交货期满意度和瓶颈资源约束的作业车间调度模型;为了求解该调度模型,设计了一种基于模拟退火的混合粒子群算法,该算法采用随机工序表达方式进行编码,并在模拟退火算法中引入变温度参数来提高算法效率。通过随机仿真,分别采用PSO-SA、SA和PSO对所建立的调度模型进行求解,结果显示PSO-SA算法的广泛性好、求解效率高且算法的稳定性好,验证了模型和算法的有效性。     

解决车间调度问题的改进模拟退火算法

结合作业车间调度问题的关键路径理论,设计了一种具有多次退火过程的调度算法。该算法利用记忆表记录下降过程中的平衡点,当一次退火过程结束后,从表中取出各平衡点的温度、状态和抽样长度重新开始退火过程,直到记忆表为空。仿真结果表明该算法在求解质量和求解效率方面均有优势。     

一种基于改进遗传算法的车间调度问题研究

作业车间调度是一类求解较困难的组合优化问题,在考虑遗传算法早熟收敛问题结合模拟退火算法局部最优时能概率性跳出的特性,该特性最终使算法能够趋于全局最优。在此基础上,将遗传算法和模拟退火算法相结合,提出了一种基于遗传和模拟退火的混合算法,该算法将模拟退火算法赋予搜索过程一种时变性融入其中,具有明显的概率跳跃性。同时。通过选取Brandimarte基准问题和经典的Benchmarks基准问题进行分析,并应用实例对该算法进行了仿真研究。该结果表明,通过模拟退火算法与遗产算法相集合,可以使计算的收敛精度明显提高,是行之有效的,与传统的算法相比较,有较明显的优越性。     

Scheduling stochastic job shop subject to random breakdown to minimize makespan

The problem of scheduling stochastic job shop subject to breakdown is seldom considered. This paper proposes an efficient genetic algorithm (GA) for the problem with exponential processing time and non-resumable jobs. The objective is to minimize the stochastic makespan itself. In the proposed GA, a novel random key representation is suggested to represent the schedule of the problem and a discrete event-driven decoding method is applied to build the schedule and handle breakdown. Probability stochastic order and the addition operation of exponential random variables are also used to calculate the objective value. The proposed GA is applied to some test problems and compared with a simulated annealing and a particle swarm optimization. The computational results show the effectiveness of the GA and its promising advantage on stochastic scheduling.     

Makespan minimization in a job shop with a BPM using simulated annealing

A scheduling problem commonly observed in the metal working industry has been studied in this research effort. A job shop equipped with one batch processing machine (BPM) and several unit-capacity machines has been considered. Given a set of jobs, their process routes, processing requirements, and size, the objective is to schedule the jobs such that the makespan is minimized. The BPM can process a batch of jobs as long as its capacity is not exceeded. The batch processing time is equal to the longest processing job in the batch. If no batches were to be formed, the scheduling problem under study reduces to the classical job shop problem with makespan objective, which is known to be nondeterministic polynomial time-hard. A network representation of the problem using disjunctive and conjunctive arcs, and a simulated annealing (SA) algorithm are proposed to solve the problem. The solution quality and run time of SA are compared with CPLEX, a commercial solver used to solve the mathematical formulation and with four dispatching rules. Experimental study clearly highlights the advantages, in terms of solution quality and run time, of using SA to solve large-scale problems.     

基于遗传-粒子群混合算法的柔性作业车间多资源调度问题

在传统柔性作业车间调度问题(FJSP)中加入运输和装配环节,提出一种柔性作业车间多资源调度问题(MRFJSP),以完工时间最短为目标建立了包含加工、运输和装配的柔性作业车间调度模型。为了提高传统遗传算法(GA)在车间调度问题中的寻优能力,将粒子群算法(PSO)的寻优过程进行改进并与遗传算法进行结合,提出一种带保优策略的遗传-粒子群混合算法,利用单层编码对模型进行求解。通过算例验证了模型的可行性,并将提出的混合算法与遗传算法和粒子群算法进行比较,证明了混合算法的优越性。     

一类解决车间调度问题的遗传退火算法

将遗传算法与模拟退火算法相结合,提出了一种混合调度算法。该算法采用3种提高效率的策略:(1)采用基于机器的分段编码方式,使编码简单直观,并且编码空间小。(2)采用4-2选择代替常用的转轮选择方式,既保留了优秀个体又维持了群体多样性;(3)采用基于关键路径的邻域产生函数和变异算子,缩小了搜索邻域。实验表明该算法具有较高的求解质量和效率。     

A general flow shop scheduling problem with consideration of position-based learning effect and multiple availability constraints

In this paper, a more general version of the flow shop scheduling problem with the objective of minimizing the total flow time is investigated. In order to get closer to the actual conditions of the problem, some realistic assumptions including non-permutation scheduling, learning effect, multiple availability constraints, and release times are considered. It is assumed that the real processing time of each job on a machine depends on the position of that job in the sequence, and after processing a specified number of jobs at each machine, an unavailability period is occurring because of maintenance activities. Moreover, it is supposed that each job may not be ready for processing at time zero and may have a release time. According to these assumptions, a new mixed integer linear programming (MILP) model is proposed to formulate the problem. Due to the high complexity of the problem, a heuristic method and a simulated annealing algorithm are presented to find the nearly optimal solutions for medium- and large-sized problems. To obtain better and more robust solutions, the Taguchi method is used in order to calibrate the simulated annealing algorithm parameters. Finally, the computational results are provided for evaluating the performance and effectiveness of the proposed solution methods.     

基于多纵向传输通道的双层过道布置问题建模与优化

针对制造和服务系统中纵向运输形式在双层过道布置问题中研究不足的情况,以实际布局方式为背景,对双层过道布置问题进行拓展,构建基于多纵向传输通道的双层过道布置问题混合整数规划模型,并提出一种混合模拟退火算法.该算法采用整数编码方式,以模拟退火算法为框架,结合2-Opt路径重连策略与逆转扰动操作,以避免陷入局部最优,同时采用...     

Modeling and scheduling open shops with sequence-dependent setup times to minimize total completion time

It is known that in many real industrial settings, some setup is carried out before the process of a job. Usually, the magnitude of this setup depends on the order of two consecutive jobs. In this case, the setup is called sequence-dependent. This paper deals with open shop scheduling with sequence-dependent setup times to minimize the total completion time. The problem is formulated as an effective mixed integer linear programming model that best characterizes and solves to optimality small-sized instances of the problem under consideration. Since the electromagnetism-like metaheuristic (EM) is successfully applied to some NP-hard problems, we have been motivated to employ and assess the effectiveness of EM to solve the open shop with setup times. To further enhance EM, a local search engine in form of a fast and simple simulated annealing is incorporated. In order to evaluate the performance of the proposed algorithms, an experiment is designed where the proposed methods are compared against some algorithms in the literature. The related results are analyzed by statistical tools. The experimental results and statistical analyses demonstrate that the proposed model and EM are effective for the problem.     

Flexible job shop scheduling with tabu search algorithms

This paper presents a tabu search algorithm that solves the flexible job shop scheduling problem to minimize the makespan time. As a context for solving sequencing and scheduling problems, the flexible job shop model is highly complicated. Alternative operation sequences and sequence-dependent setups are two important factors that frequently appear in various manufacturing environments and in project scheduling. In this paper, we present a model for a flexible job shop scheduling problem while considering those factors simultaneously. The purpose of this paper is to minimize the makespan time and to find the best sequence of operations and the best choice of machine alternatives, simultaneously. The proposed tabu search algorithm is composed of two parts: a procedure that searches for the best sequence of job operations, and a procedure that finds the best choice of machine alternatives. Randomly generated test problems are used to evaluate the performance of the proposed algorithm. Results of the algorithm are compared with the optimal solution using a mathematical model solved by the traditional optimization technique (the branch and bound method). After modeling the scheduling problem, the model is verified and validated. Then the computational results are presented. Computational results indicate that the proposed algorithm can produce optimal solutions in a short computational time for small and medium sized problems. Moreover, it can be applied easily in real factory conditions and for large size problems. The proposed algorithm should thus be useful to both practitioners and researchers.     

基于效率函数的双资源约束作业车间调度算法

目前对制造业领域作业车间调度问题研究中,仅考虑单一设备资源的传统作业车间调度问题已不能反应出实际作业车间的作业环境。根据实际作业车间多资源环境,建立了分别最小化生产完工期和超期时数为目标函数的设备和模具双资源约束作业车间调度模型,并采用基于效率函数的逆序调度算法对问题进行求解。最后,通过实例对算法进行验证并给出对比结果。     

考虑工序相关性的动态Job shop调度问题启发式算法

提出一类考虑工序相关性的、工件批量到达的动态Job shop 调度问题,在对工序相关性进行了定义和数学描述的基础上,进一步建立了动态Job shop 调度问题的优化模型。设计了一种组合式调度规则RAN(FCFS,ODD),并提出了基于规则的启发式算法以及该类动态Job shop 调度问题的算例生成方法。为验证算法和比较评估调度规则的性能,对算例采用文献提出的7种调度规则和RAN(FCFS,ODD)进行了仿真调度,对调度结果的分析表明了算法的有效性和RAN(FCFS,ODD)调度规则求解所提出的动态Job Shop 调度问题的优越性能。     

一种解决有AGV小车约束的车间智能调度问题的算法

考虑AGV小车在车间调度中只参与运输工件的特点和小车的运输路线对工件工艺路线选择的影响，分析了在机床／AGV小车双资源约束下的车间调度问题，讨论了AGV小车在车间调度中的调度机制。在分析问题的基础上建立了有AGV小车参与调度的车间调度问题的数学模型，并提出了基于遗传算法的机床／AGV小车的调度算法，论述了编码、选择和变异操作的规则，提出了工序特征的交叉算子。仿真结果表明，该算法是可行的，可以获得比较好的效果，为在AGV小车约束下的车间调度提供了一种有效的实践途径。     

求解Job Shop问题的一种免疫模拟退火算法

针对以最小化加权拖期和为优化目标的Job Shop调度问题,提出了一种基于瓶颈工件识别的免疫模拟退火算法。为描述各工件对最终调度性能影响的关键程度,定义了工件瓶颈特征量并提出基于人工调度经验的模糊推理系统以计算该特征量值。根据瓶颈工件需优先调度这一思路设计了一种有效利用工件瓶颈特征信息的免疫机制。在模拟退火过程中引入该免疫算法,并进行了大量数值计算实验。对不同规模问题的计算实例表明,该算法能够加快优化过程的收敛速度,取得较好的优化结果。     

A two-stage genetic algorithm for large size job shop scheduling problems

The majority of large size job shop scheduling problems are non-polynomial-hard (NP-hard). In the past few decades, genetic algorithms (GAs) have demonstrated considerable success in providing efficient solutions to many NP-hard optimization problems. But there is no literature available considering the optimal parameters when designing GAs. Unsuitable parameters may generate an inadequate solution for a specific scheduling problem. In this paper, we proposed a two-stage GA which attempts to firstly find the fittest control parameters, namely, number of population, probability of crossover, and probability of mutation, for a given job shop problem with a fraction of time using the optimal computing budget allocation method, and then the fittest parameters are used in the GA for a further searching operation to find the optimal solution. For large size problems, the two-stage GA can obtain optimal solutions effectively and efficiently. The method was validated based on some hard benchmark problems of job shop scheduling.     

基于进化算法和模拟退火算法的混合调度算法

将进化算法与模拟退火算法相结合,提出四种有效的混合调度算法,即遗传退火算法、改进遗传算法、改进进化规划和并行模拟退火算法。两种算法搜索机制的互补增强了全局探索能力,基于关键路径的邻域函数运用提高了算法的效率。仿真结果表明:混合算法在求解质量和求解效率方面均有优势,优于国外同类研究成果;基于模拟退火的变异算子的搜索能力优于交叉算子;改进进化规划优于其他混合算法。