Network optimization in supply chain: A KBGA approach

In this paper, we present a Knowledge Based Genetic Algorithm (KBGA) for the network optimization of Supply Chain (SC). The proposed algorithm integrates the knowledge base for generating the initial population, selecting the individuals for reproduction and reproducing new individuals. From the literature, it has been seen that simple genetic-algorithm-based heuristics for this problem lead to and large number of generations. This paper extends the simple genetic algorithm (SGA) and proposes a new methodology to handle a complex variety of variables in a typical SC problem. To achieve this aim, three new genetic operators—knowledge based: initialization, selection, crossover, and mutation are introduced. The methodology developed here helps to improve the performance of classical GA by obtaining the results in fewer generations. To show the efficacy of the algorithm, KBGA also tested on the numerical example which is taken from the literature. It has also been tested on more complex problems.     

Earliness–tardiness minimization on a single machine to schedule preventive maintenance tasks: metaheuristic and exact methods

In this paper, we consider the problem of scheduling a set of M preventive maintenance tasks to be performed on M machines. The machines are assigned to execute production tasks. We aim to minimize the total preventive maintenance cost such that the maintenance tasks have to continuously be run during the schedule horizon. Such a constraint holds when the maintenance resources are not sufficient. We solve the problem by two exact methods and meta-heuristic algorithms. As exact procedures we used linear programming and branch and bound methods. As meta-heuristics, we propose a local search approach as well as a genetic algorithm. Computational experiments are performed on randomly generated instances to show that the proposed methods produce appropriate solutions for the problem. The computational results show that the deviation of the meta-heuristics solutions to the optimal one is very small, which confirms the effectiveness of meta-heuristics as new approaches for solving hard scheduling problems.     

混合遗传算法在柔性系统动态调度中的应用研究

本文研究了柔性制造系统实时生产环境下的动态调度问题.提出了基于动态数据库技术的动态调 度系统的框架结构.动态数据库中存储着问题的数据结构,包含工件相关类与机器相关类信息.动态数据库能 够随着生产的进行及时进行更新.扰动发生后,遗传算法根据动态数据库所提供的更新后的调度任务数据,快 速产生新的优化调度方案.通过在遗传算法中嵌入约束解决机制确保遗传算法适应约束的能力,从而提高算 法的收敛速度与精度.仿真实验证实了方案的有效性.     

A realistic variant of bi-objective unrelated parallel machine scheduling problem: NSGA-II and MOACO approaches

The problem investigated in this study involves an unrelated parallel machine scheduling problem with sequence-dependent setup times, different release dates, machine eligibility and precedence constraints. This problem has been inspired from a realistic scheduling problem in the shipyard. The optimization criteria are to simultaneously minimize mean weighted flow time and mean weighted tardiness. To formulate this complicated problem, a new mixed-integer programming model is presented. Considering the NP-complete characteristic of this problem, two famous meta-heuristics including a non-dominated sorting genetic algorithm (NSGA-II) and a multi-objective ant colony optimization (MOACO) which is a modified and adaptive version of BicriterionAnt algorithm are developed. Obviously, the precedence constraints increase the complexity of the scheduling problem in strong sense in order to generate feasible solutions, especially in parallel machine environment. Therefore a new corrective algorithm is proposed to obtain the feasibility in all stages of the algorithms. Due to the fact that appropriate design of parameter has a significant effect on the performance of algorithms, we calibrate the parameters of these algorithms by using new approach of Taguchi method. The performances of the proposed meta-heuristics are evaluated by a number of numerical examples. The results indicated that the suggested MOACO statistically outperformed the proposed NSGA-II in solving the test problems. In addition, the application of the proposed algorithms is justified by a real block erection scheduling problem in the shipyard.     

多级生产批量规划问题的柔性惯量反捕食粒子群算法

多级生产批量规划(MLLS)是原料需求计划(MRP)中主生产计划(MPS)的关键决策问题,具有广泛的工业应用;已被证明是NP-hard类型的组合优化问题.反捕食粒子群算法(APSO)是最近提出的一种与粒子群算法(PSO)密切相关的亚启发式算法.本文提出带柔性惯性权重的反捕食粒子群算法(WAPSO)对具有指定装配结构而无约束的MLLS问题进行了求解.本算法对12个小规模benchmark数据集和1个随机产生的较大规模数据进行了测试.测试结果与遗传算法(GA)和Wagner-Whitin(WW)动态规划算法的结果进行了比较.结果表明了WAPSO算法的有效性和适用性.     

基于强化学习的多技能项目调度算法

多技能项目调度存在组合爆炸的现象, 其问题复杂度远超传统的单技能项目调度, 启发式算法和元启发式 算法在求解多技能项目调度问题时也各有缺陷. 为此, 根据项目调度的特点和强化学习的算法逻辑, 本文设计了基 于强化学习的多技能项目调度算法. 首先, 将多技能项目调度过程建模为符合马尔科夫性质的序贯决策过程, 并依 据决策过程设计了双智能体机制. 而后, 通过状态整合和行动分解, 降低了价值函数的学习难度. 最后, 为进一步提 高算法性能, 针对资源的多技能特性, 设计了技能归并法, 显著降低了资源分配算法的时间复杂度. 与启发式算法的 对比实验显示, 本文所设计的强化学习算法求解性能更高, 与元启发式算法的对比实验表明, 该算法稳定性更强, 且 求解速度更快.     

Hybrid monkey search algorithm for flow shop scheduling problem under makespan and total flow time

This paper addresses a sub-population based hybrid monkey search algorithm to solve the flow shop scheduling problem which has been proved to be non-deterministic polynomial time hard (NP-hard) type combinatorial optimization problems. Minimization of makespan and total flow time are the objective functions considered. In the proposed algorithm, two different sub-populations for the two objectives are generated and different dispatching rules are used to improve the solution quality. To the best of our knowledge, this is the first application of monkey search algorithm to solve the flow shop scheduling problems. The performance of the proposed algorithm has been tested with the benchmark problems addressed in the literature. Computational results reveal that the proposed algorithm outperforms many other heuristics and meta-heuristics addressed in the literature.     

A novel hybrid PSO–GA meta-heuristic for scheduling of DAG with communication on multiprocessor systems

This work presents a novel hybrid meta-heuristic that combines particle swarm optimization and genetic algorithm (PSO–GA) for the job/tasks in the form of directed acyclic graph (DAG) exhibiting inter-task communication. The proposed meta-heuristic starts with PSO and enters into GA when local best result from PSO is obtained. Thus, the proposed PSO–GA meta-heuristic is different than other such hybrid meta-heuristics as it aims at improving the solution obtained by PSO using GA. In the proposed meta-heuristic, PSO is used to provide diversification while GA is used to provide intensification. The PSO–GA is tested for task scheduling on two standard well-known linear algebra problems: LU decomposition and Gauss–Jordan elimination. It is also compared with other states-of-the-art heuristics for known solutions. Furthermore, its effectiveness is evaluated on few large sizes of random task graphs. Comparative study of the proposed PSO-GA with other heuristics depicts that the PSO–GA performs quite effectively for multiprocessor DAG scheduling problem.     

一种新的FMS优化调度算法

提出一种将遗传算法和启发式算法相结合的新的混合算法,以解决ＦＭＳ中的优化调度问题。该混合算法克服了以往遗传算法在ＦＭＳ中应用的不足之处,并具有搜索效率高且稳定的特点。最后以实例验证了该算法的高效性和稳定性。     

基于佳点集遗传算法的Flow Shop调度问题求解

利用数论中的佳点集理论和方法，结合传统的遗传算法来求解flow shop问题。算法的应用结果显示了该方法求解问题的较好性能，大大地改善了SGA的求解质量。     

An energy-efficient reliable grid scheduling model using NSGA-II

Job scheduling in computational grid is a complex problem and various heuristics and meta-heuristics have been proposed for the same. These approaches usually optimize specific characteristic parameters while allocating the jobs on the grid resources. Many a times, it is desired to optimize multiple parameters during job scheduling. Non-dominated sorting genetic algorithm (NSGA-II) has been observed to be the best meta-heuristic to solve such multi-objective optimization problem. The proposed work applies NSGA-II for job scheduling in computational grid with three conflicting objectives: maximizing reliability of the system for job allocation, minimizing energy consumption and balancing the load on the system. Performance study of the proposed model is done by simulating it on some real data. The result indicates that the proposed model performs well with multiple objectives.     

课程表问题的一种模拟退火超启发式算法

课程表问题是经典的组合优化问题,属于NP-hard问题.长期以来人们一直都在寻求快速高效的近似算法,以便在合理的计算时间内准确解决大规模课程安排问题,并提出许多有效且实用的启发式和元启发式算法.在此基础上提出了一种基于多个图染色启发式规则的模拟退火超启发式算法.在超启发式算法的框架中,用模拟退火算法作为高层搜索算法,多个图染色启发式规则为底层的构造算法.与现有的方法相比,该算法具有很好的通用性,可以很容易推广到考试时间表、会议安排.旅行商问题、背包问题等应用领域.实验表明,该算法是可行有效的,且无一例时间、空间冲突.     

A hybrid genetic algorithm for the job shop scheduling problems

The Job Shop Scheduling Problem (JSSP) is one of the most general and difficult of all traditional scheduling problems. The goal of this research is to develop an efficient scheduling method based on genetic algorithm to address JSSP. We design a scheduling method based on Single Genetic Algorithm (SGA) and Parallel Genetic Algorithm (PGA). In the scheduling method, the representation, which encodes the job number, is made to be always feasible, the initial population is generated through integrating representation and G&T algorithm, the new genetic operators and selection method are designed to better transmit the temporal relationships in the chromosome, and island model PGA are proposed. The scheduling methods based on genetic algorithm are tested on five standard benchmark JSSP. The results are compared with other proposed approaches. Compared to traditional genetic algorithm, the proposed approach yields significant improvement in solution quality. The superior results indicate the successful incorporation of a method to generate initial population into the genetic operators.     

基于改进的基因表达式编程算法在作业车间调度问题中的应用

文章提出一种新颖的方法一改进的基因表达式编程算法来求解作业车间调度问题。作业车间调度问题是许多实际生产调度问题的简化模型,基因表达式编程算法结合了遗传算法和遗传编程的优点,具有更强的解决问题能力,对基因表达式编程算法进行改进使其在作业车间调度问题的应用上更加有效;最后应用一个实例来验证提出方法的有效性。     

DAG Scheduling in Heterogeneous Computing and Grid Environments Using Variable Neighborhood Search Algorithm

DAG scheduling is a process that plans and supervises the execution of interdependent tasks on heterogeneous computing resources. Efficient task scheduling is one of the important factors to improve the performance of heterogeneous computing systems. In this paper, an investigation on implementing Variable Neighborhood Search (VNS) algorithm for scheduling dependent jobs on heterogeneous computing and grid environments is carried out. Hybrid Two PHase VNS (HTPHVNS) DAG scheduling algorithm has been proposed. The performance of the VNS and HTPHVNS algorithm has been evaluated with Genetic Algorithm and Heterogeneous Earliest Finish Time algorithm. Simulation results show that VNS and HTPHVNS algorithm generally perform better than other meta-heuristics methods.     

An improved particle swarm optimization algorithm for flowshop scheduling problem

The flowshop scheduling problem has been widely studied and many techniques have been applied to it, but few algorithms based on particle swarm optimization (PSO) have been proposed to solve it. In this paper, an improved PSO algorithm (IPSO) based on the “alldifferent” constraint is proposed to solve the flow shop scheduling problem with the objective of minimizing makespan. It combines the particle swarm optimization algorithm with genetic operators together effectively. When a particle is going to stagnate, the mutation operator is used to search its neighborhood. The proposed algorithm is tested on different scale benchmarks and compared with the recently proposed efficient algorithms. The results show that the proposed IPSO algorithm is more effective and better than the other compared algorithms. It can be used to solve large scale flow shop scheduling problem effectively.     

整合Petri网和蚁群优化算法用于柔性制造系统调度优化研究

以Petri网与蚁群优化算法相结合，求解柔性制造系统的调度问题，取得了明显的优化效果。以一个典型算例的调度优化为例，证明了算法的有效性。     

Integrated scheduling of resource-constrained flexible manufacturing systems using constraint programming

This contribution presents a novel approach to address the scheduling of resource-constrained flexible manufacturing systems (FMSs). It deals with several critical features that are present in many FMS environments in an integrated way. The proposal consists in a constraint programming (CP) formulation that simultaneously takes into account the following sub-problems: (i) machine loading, (ii) manufacturing activities scheduling, (iii) part routing, (iv) machine buffer scheduling, (v) tool planning and allocation, and (vi) AGV scheduling, considering both the loaded and the empty movements of the device. Before introducing the model, this work points out the problems that might appear when all these issues are not concurrently taken into account. Then, the FMS scheduling model is presented and later assessed through several case-studies. The proposed CP approach has been tested by resorting to problems that consider dissimilar number of parts, operations per part, and tool copies, as well as different AGV speeds. The various examples demonstrate the importance of having an integrated formulation and show the important errors that can occur when critical issues such as AGV empty movements are neglected.     

一种集成FMS零件分批与机器装载的新方法

提出一种解决FMS零件分批与机器装载问题的新思路.建立了问题的混合整数规划模型,研究了基于遗传算法的求解方案.在遗传算法的编码策略中,引入了虚工件和虚工序的概念,并设计了相应问题特征的交叉算子与变异算子.仿真结果验证了方案的有效性.     

Identifying FMS repetitive patterns for efficient search-based scheduling algorithm: A colored Petri net approach

The multiple lot size scheduling problem plays a crucial role in minimizing production and setup costs in order to respond to constant fluctuations in customer demands. However, the computational cost to optimize a scheduling problem increases as the lot size of jobs increases, leading to a scalability problem for most scheduling algorithms. This paper presents an efficient search approach based on colored Petri net (CPN) formalism that addresses the state explosion problem of reachability graphs used for finding the optimal solutions to scheduling problems. To reduce the memory requirements, the proposed approach exploits the structural equivalence found in the reachability graphs of flexible manufacturing systems’ (FMS) CPNs to discard states once they are no longer needed to explore the state space. The hypothetical structural equivalence is attributed to the repetitive patterns identified in the execution of manufacturing processes when the lot sizes of jobs are scaled for FMS whose underlying layout configuration is fixed. We present the concept of structural equivalence based on duplicate state detection for FMS of different lot sizes and give sufficient conditions under which the structural equivalence obtained from a few lot size (smaller) instances holds for the same FMS of a larger size. The approach is validated experimentally on different FMS examples which confirm that the behavior of an FMS of any large lot size can be inferred from the FMS of a smaller size. Experimental results indicate that this work performs better than prior search methods and obtains optimal schedules of FMS with large lot sizes. Also, we show that the approach is applicable to FMS problems of similar configurations where the problem size differ by the number of jobs, resources and operations.