Multi-objective fuzzy multiprocessor flowshop scheduling

This paper considers a bi-objective hybrid flowshop scheduling problems with fuzzy tasks’ operation times, due dates and sequence-dependent setup times. To solve this problem, we propose a bi-level algorithm to minimize two criteria, namely makespan, and sum of the earliness and tardiness, simultaneously. In the first level, the population will be decomposed into several sub-populations in parallel and each sub-population is designed for a scalar bi-objective. In the second level, non-dominant solutions obtained from sub-population bi-objective random key genetic algorithm (SBG) in the first level will be unified as one big population. In the second level, for improving the Pareto-front obtained by SBG, based on the search in Pareto space concept, a particle swarm optimization (PSO) is proposed. We use a defuzzification function to rank the Bell-shaped fuzzy numbers. The non-dominated sets obtained from each of levels and an algorithm presented previously in literature are compared. The computational results showed that PSO performs better than others and obtained superior results.     

多目标遗传算法及其在化工领域的应用

多目标优化在工程优化领域占有较大比重，这些目标之间大多是相互冲突的，常用的方法是将这些目标通过不同的方式转化成单一目标进行求解，然而这样将使一些有用的信息丢失。多目标遗传算法可避免信息丢失，通过优化它给出一组非劣解供决策者根据不同需要进行选择。本文首先介绍了常用的多目标优化方法，然后详细介绍了目前研究较多的多目标遗传算法，着重讨论了多目标优化方法在化学工程领域中的应用，并对多目标遗传算法的发展进行了展望。     

A genetic algorithm with genes-association recognition for flowshop scheduling problems

In this paper, we consider a flowshop scheduling problem with a special blocking RCb (Release when Completing Blocking). This flexible production system is prevalent in some industrial environments. Genetic algorithms are first proposed for solving these flowshop problems and different initial populations have been tested to find which is best adapted. Then, a method is proposed for further improving genetic algorithm found solutions, which consists in marking out recurrent genes association occurrences in an already genetic algorithm optimized population. This idea directly follows Holland’s first statement about nature observations. Here, proposed idea is that populations well adapted to a problem have an adapted genetic code with common properties. We propose to mark out these properties in available genetic code to further improve genetic algorithm efficiency. Implementation of this method is presented and obtained results on flowshop scheduling problems are discussed.     

Extended artificial chromosomes genetic algorithm for permutation flowshop scheduling problems

In our previous researches, we proposed the artificial chromosomes with genetic algorithm (ACGA) which combines the concept of the Estimation of Distribution Algorithms (EDAs) with genetic algorithms (GAs). The probabilistic model used in the ACGA is the univariate probabilistic model. We showed that ACGA is effective in solving the scheduling problems. In this paper, a new probabilistic model is proposed to capture the variable linkages together with the univariate probabilistic model where most EDAs could use only one statistic information. This proposed algorithm is named extended artificial chromosomes with genetic algorithm (eACGA). We investigate the usefulness of the probabilistic models and to compare eACGA with several famous permutation-oriented EDAs on the benchmark instances of the permutation flowshop scheduling problems (PFSPs). eACGA yields better solution quality for makespan criterion when we use the average error ratio metric as their performance measures. In addition, eACGA is further integrated with well-known heuristic algorithms, such as NEH and variable neighborhood search (VNS) and it is denoted as eACGA_hybrid to solve the considered problems. No matter the solution quality and the computation efficiency, the experimental results indicate that eACGA_hybrid outperforms other known algorithms in literature. As a result, the proposed algorithms are very competitive in solving the PFSPs.     

A study on flowshop scheduling problem combining Taguchi experimental design and genetic algorithm

As genetic algorithm parameters vary depending on different problem types when applying genetic algorithm to reach global optimum, appropriate design value selection has significant impact on the efficiency of genetic algorithm. However, most users adjust parameters manually based on the reference values of previous literature. Such trial-and-error method is time-consuming, ineffective, and often it could not locate the optimal combination. Therefore, in flowshop scheduling problems, this research anticipates to complete optimal parameter combination design in genetic algorithm using Taguchi experimental design. According to the research results, different ways of producing initial solution have significant influence on this research topic. Consequently, confirmation experiment is conducted using the optimal parameter combination obtained from the research results. It is found that the predicted value of signal-to-noise ratio (S/N ratio) and its actual value exists deviation of 0.238%, indicating repetitiveness and robustness of the obtained parameter combination. Hence, this research method can effectively reduce time spent on parameter design using genetic algorithm and increase efficiency of algorithm.     

A heuristic-based genetic algorithm for the two-machine flowshop scheduling with learning consideration

In scheduling problems, the learning phenomenon is often seen in some practical applications such as in the processing of certain chemicals in oil refineries and in the steel plates or bars produced by a foundry. A review of the literature reveals that most researchers paid more attention to the scheduling with both the single-machine settings and the learning without a bound. This is at odds with reality and thereby highlights the importance of addressing the issue by different approaches. This paper tackles the issue by considering a two-machine flowshop problem with a truncated learning consideration where the objective function is to minimize the makespan. In order to solve the proposed model, a branch-and-bound algorithm is first developed for the optimal solution. Then four genetic heuristic-based algorithms are proposed for the near-optimal solution. In addition, the experimental results of all proposed algorithms are also provided.     

Two-stage hybrid batching flowshop scheduling with blocking and machine availability constraints using genetic algorithm

This research investigates a two-stage hybrid flowshop scheduling problem in a metal-working company. The first stage consists of multiple parallel machines and the second stage has only one machine. Four characteristics of the company have substantiated the complexity of the problem. First, all machines in stage one are able to process multiple jobs simultaneously but the jobs must be sequentially set up one after another. Second, the setup time of each job is separated from its processing time and depends upon its preceding job. Third, a blocking environment exists between two stages with no intermediate buffer storage. Finally, machines are not continuously available due to the preventive maintenance and machine breakdown. Two types of machine unavailability, namely, deterministic case and stochastic case, are identified in this problem. The former occurs on stage-two machine with the start time and the end time known in advance. The latter occurs on one of the parallel machine in stage one and a real-time rescheduling will be triggered. Minimizing the makespan is considered as the objective to develop the optimal scheduling algorithm. A genetic algorithm is used to obtain a near-optimal solution. The computational results with actual data are favorable and superior over the results from existing manual schedules.     

Multi-objective colonial competitive algorithm for hybrid flowshop problem

This study analyses the multi-objective optimization in hybrid flowshop problem, in which two conflicting objectives, makespan and total weighted tardiness, are considered to be minimized simultaneously. The multi-objective version of Colonial Competitive Algorithm (CCA) for real world optimization problem is introduced and investigated. In contrast to multi-objective problems solved by CCA, presented in the literature, which used the combination of the objectives as single objective, the proposed algorithm is established on Pareto solutions concepts. Another novelty of this paper is estimating the power of each imperialist by a probabilistic criterion for this multi objective algorithm. Besides that, the variable neighborhood search is implemented as an assimilation strategy. Performance of the algorithm is finally compared with a famous algorithm for scheduling problem, NSGA-II, and the multi-objective form of CCA [28].     

Multi-objective hybrid genetic algorithm for task scheduling problem in cloud computing

Neural Computing and Applications - The cloud computing systems are sorts of shared collateral structure which has been in demand from its inception. In these systems, clients are able to access...     

A decomposition based multiobjective genetic algorithm with adaptive multipopulation strategy for flowshop scheduling problem

Natural Computing - Recently, the solution algorithm for multiobjective scheduling problems has gained more and more concerns from the community of operational research since many real-world...     

Minimizing makespan on a three-machine flowshop batch scheduling problem with transportation using genetic algorithm

This paper studies the minimization of makespan in a three-machine flowshop scheduling problem in which a batch processing machine is located between two single processing machines on first and third stages. In this study also transportation capacity and transportation among machines times are explicitly considered.We establish a mixed integer programming model and propose a heuristic algorithm based on the basic idea of Johnson's algorithm. Since the problem under study is NP-hard, a genetic algorithm is also proposed to minimize makespan. The effectiveness of our solution procedures is evaluated through computational experiments. The results obtained from the computational study have shown that the genetic algorithm is a viable and effective approach that is capable to produce consistently good results.     

Quadtree-based genetic algorithm and its applications to computer vision

Many computer vision problems can be formulated as optimization problems. Presented in this paper is a new framework based on the quadtree-based genetic algorithm that can be applied to solve many of these problems. The proposed algorithm incorporates the quadtree structure into the conventional genetic algorithm. The solutions of image-related problems are encoded through encoding the corresponding quadtrees, and therefore, the 2D locality within a solution can be preserved. Examples addressed using the proposed framework include image segmentation, stereo vision, and motion estimation. In all cases, encouraging results are obtained.     

禁忌搜索算法解决零空闲流水线调度问题

针对流水线调度这一类NP-Hard难题,深入分析了零空闲流水线调度问题,提出了一种解决零空闲流水线调度问题的基于NEH方法的禁忌搜索算法,建立了以工件的最大完工时间为目标的算法模型.新算法利用NEH启发式算法产生问题的初始解,改善了新算法的搜索性能.利用动态方式更新禁忌表长,提高了新算法的鲁棒性.为了提高算法的运行时效,利用快速搜索算法对提出的禁忌搜索算法进行改进,即采用快速搜索算法作为禁忌搜索的邻域函数,得到另一种改进的禁忌搜索算法.仿真试验结果表明了该算法的有效性及优越性,新算法在流水线生产调度及自动化工程等领域具有较高的实用价值.     

蛙跳优化算法求解多目标无等待流水线调度

提出了基于Pareto边界和档案集的改进蛙跳算法,解决以最大完工时间、最大拖后时间和总流经时间为目标值的无等待流水线调度问题．首先,采用NEH（Nawaz—Enscore—Ham）启发式与随机解相结合的初始化方法,保证了初始群体的质量和分布性;其次,采用两点交叉方法生成新解,使蛙跳算法能够直接用于解决调度问题;再次,利用非支配解集动态更新群体,改善了群体的质量和多样性;最后,将基于插入邻域的快速局部搜索算法嵌入到蛙跳算法中,增强了算法的开发能力和效率．仿真试验表明了所得蛙跳算法的有效性和高效性．     

A three-phase algorithm for flowshop scheduling with blocking to minimize makespan

This paper proposes a three-phase algorithm (TPA) for the flowshop scheduling problem with blocking (BFSP) to minimize makespan. In the first phase, the blocking nature of BFSP is exploited to develop a priority rule that creates a sequence of jobs. Using this as the initial sequence and a variant of the NEH-insert procedure, the second phase generates an approximate solution to the problem. Then, utilizing a modified simulated annealing algorithm incorporated with a local search procedure, the schedule generated in the second phase is improved in the third phase. A pruning procedure that helps evaluate most solutions without calculating their complete makespan values is introduced in the local search to further reduce the computational time needed to solve the problem. Results of the computational experiments with Taillard's benchmark problem instances show that the proposed TPA algorithm is relatively more effective and efficient in minimizing makespan for the BFSP than the state-of-the-art procedures. Utilizing these results, 53 out of 60 new tighter upper bounds have been found for large-sized Taillard's benchmark problem instances.     

置换流水车间调度问题的两阶段分布估计算法

针对置换流水车间调度问题,以最小化总流水时间为目标,提出了一种新颖的两阶段分布估计算法。第一阶段先利用NEH（Nawaz-Enscore-Ham,NEH）启发式构造一个较优的初始个体,然后随机生成初始种群,为保留种群的多样性,提出一种择优机制来选择个体并建立概率模型,同时在当代种群中利用精英机制保留当代种群中的最优解,最后利用概率模型采样并生成下一代种群。第二阶段采用插入、互换操作算子对第一阶段得到的最优解进行邻域搜索,来提高分布估计算法的全局搜索能力,阻止其陷入局部最优解。通过对算例进行实验、对比和分析,证明该算法的可行性和有效性。     

蛙跳算法与批量无等待流水线调度问题的优化*

针对以makespan为指标的批量无等待流水线调度问题,提出了一种有效的离散蛙跳算法。首先采用基于工序的编码方式使蛙跳算法直接应用于调度问题;其次采用基于NEH与改进NEH和随机产生相结合的初始化方法,保证了初始解的高质量和分布性;再次采用交叉或变异方法产生新解,保持了种群的优越性和多样性;最后对全局最优解执行快速局部搜索,有效地降低了算法的时间复杂度,平衡算法的全局和局部开发能力。对随机生成不同规模的实例进行广泛的实验,通过仿真实验结果的比较,表明所得蛙跳算法的有效性和高效性。     

新颖的阻塞流水车间调度量子差分进化算法

针对阻塞流水车间调度问题(BFSP),提出了一种新颖的量子差分进化(NQDE)算法,用于最小化最大完工时间。该算法将量子进化算法(QEA)与差分进化(DE)相结合,设计一种新颖的量子旋转机制控制种群进化方向,增强种群多样性;采用高效的基于变邻域搜索的量子进化算法(QEA-VNS)协同进化策略增强算法的全局搜索能力,进一步提高解的质量。基于Taillard's benchmark实例仿真,结果表明,所提算法在最优解数量上明显高于目前较好的启发式算法--INEH,改进了110个实例中64个实例的当前最优解;在性能上也优于目前有效的元启发式算法--新型蛙跳算法(NMSFLA)和混合量子差分进化(HQDE),产生最优解的平均百分比偏差(ARPD)均下降约6%。NQDE算法适合大规模阻塞流水车间调度问题。     

离散蝙蝠算法在三阶段装配流水线调度问题的应用

为了解决三阶段装配流水线调度问题,提出一种改进的离散型蝙蝠算法(DBA).针对所提问题的瓶颈期,提出下限理论,改进三阶段瓶颈期的下限公式,并引入调度模型生成初始种群,重新划分蝙蝠的捕食范围(HR),通过捕食行为、迁移行为的改进提高局部搜索能力,以有效提高离散蝙蝠算法的性能.改进K-means聚类算法,将具有最高相似性的...     

An asynchronous genetic local search algorithm for the permutation flowshop scheduling problem with total flowtime minimization

In this study, the permutation flowshop scheduling problem with the total flowtime criterion is considered. An asynchronous genetic local search algorithm (AGA) is proposed to deal with this problem. The AGA consists of three phases. In the first phase, an individual in the initial population is yielded by an effective constructive heuristic and the others are randomly generated, while in the second phase all pairs of individuals perform the asynchronous evolution (AE) where an enhanced variable neighborhood search (E-VNS) as well as a simple crossover operator is used. A restart mechanism is applied in the last phase. Our experimental results show that the algorithm proposed outperforms several state-of-the-art methods and two recently proposed meta-heuristics in both solution quality and computation time. Moreover, for 120 benchmark instances, AGA obtains 118 best solutions reported in the literature and 83 of which are newly improved.