有准备时间无等待流水车间调度的搜索算法

利用迭代变化邻域搜索算法(IVNS)求解最小化总完工时间的有准备时间无等待流水车间调度问题. 设计局部搜索算法需要考虑3个关键因素：所用邻域、解评估和局部最优的克服. 因此,定义了3个较大规模邻域以扩大搜索范围. 为加速解评估,利用目标增量来避免重新计算每个解的目标函数值,使相邻解比较只需常量时间,NEH插入算法的时间复杂度降低一阶. IVNS通过切换邻域和扰动重启,来克服局部搜索易于陷入局部最优解的缺点. 通过与求解该问题的当前最好算法在5400个标准算上,以相同CPU时间进行的实算比较,实验结果统计分析验证了IVNS的寻优性能明显优于参照算法.     

一种求解无等待流水车间调度优化的启发式算法

提出了一种新的启发式算法,用于求解无等待流水车间调度问题的总流水时间指标。该算法命名为标准差启发,基于著名的NEH启发算法。首先阐述了总流水时间指标;其次描述了标准差启发算法的过程;最后用标准差启发算法求解标准实验案例,通过实验并与其他启发式算法比较,验证了标准差启发算法在求解无等待流水车间调度问题总流水时间指标的有效性。     

一个求解无等待流水调度问题混合算法

针对以总完工时间最小为目标的无等待流水调度问题提出一个启发式算法和禁忌搜索算法相结合的混合禁忌搜索算法HTS(Hybrid Taboo Search):以启发式算法产生的解作为初始解,通过禁忌搜索提高解的质量.实验结果表明:提出的HTS性能上优于经典的RC1、RC2、PH1(p)和DS算法.     

无等待流水车间调度问题的优化

文中研究了以生产周期为目标的无等待流水车间调度问题.首先,结合问题特征,提出了一种复杂度为O(n)的快速生产周期算法.其次,研究了两种插入邻域结构:基本插入邻域和多重插入邻域,并提出了快速基本插入邻域算法和最大多重插入移动算法.在此基础上,将离散粒子群算法与上述两种邻域搜索算法相结合,得到了离散粒子群优化调度算法.第三,根据问题生产周期的不规则性,给出了一种通过延长工序加工时间进一步改进调度方案的方法.最后,仿真实验表明了所得算法的可行性和有效性.     

基于种群迭代贪婪算法无等待流水车间调度

针对无等待流水车间调度问题,提出一种基于种群迭代的改进贪婪算法解决以最小化最大完工时间为目标的此类问题。首先,采用改进NEH(Nawaz–Enscore–Ham)算法提升初始种群的质量,提高种群的多样性,并得出初始解,确定最优个体;其次,采用种群迭代贪婪算法对确定的种群序列进行破坏与重新构建,将新序列插入指定位置,并对获得的候选方案进行本地搜索,获得新的解决方案,同时取代劣势解决方案;最后,通过仿真实例将种群迭代贪婪算法与其他智能优化算法在平均相对偏差率、最佳相对偏差率、算法收敛性上进行对比,结果表明种群迭代贪婪算法求解所提问题的高效性和稳定性。     

量子萤火虫算法及在无等待流水调度上的应用

针对无等待流水车间调度问题,提出了一种新颖的量子萤火虫优化算法用于最小化总完工时间．首先,将量子进化机制嵌入萤火虫算法中,并设计一种快速的局部邻域搜索方法,在每次迭代时只搜索部分邻域,同时采用目标增量计算邻域解变化,这样极大地加快了算法迭代速度,加速了算法收敛．最后,应用Taillard基准测试实例仿真,与目前较优的启发式算法IHA（improved heuristic algorithm）和群智能算法DGSO（discrete glowworm swarm optimization）、 GA-VNS（genetic algorithm-variable neighborhood search）及DHS（discrete harmony search）相比较,产生最好解的平均百分比偏差均下降了40％以上．实验结果验证了所提算法在求解无等待流水调度中的优越性．     

基于总空闲时间增量的无等待流水调度混合遗传算法

将NP-难的最小化最大完工时间无等待流水调度问题等价转化为最小化总空闲时间的问题,改变传统求解调度序列目标函数的模式,通过目标函数变化量判断新解的优劣,大大降低算法所需计算时间.分析启发式算法基本操作和进化算子的总空闲时间增量性质,设计基本总空闲时间增量法以快速评估新产生解的质量.提出混合遗传算法IHGA(increment based hybrid genetic algorithm)求解该问题,构造相应初始种群生成方法和进化算子,提出进化概率动态更新策略和种群收敛判断与再生机制;算法混合了迭代改进局部搜索以进一步提高解的质量,基于120个经典Benchmark实例,将IHGA与目前求解该问题的有效算法RAJ,GR,SA2,TSM和FCH进行比较,实验结果表明:IHGA在性能方面优于其他,计算效率方面优于SA2和TSM,略逊于GR,RAJ和FCH.     

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。     

极小化时间表长的无等待流水车间调度

针对以时间表长最小为目标函数的无等待流水车间（No-Wait Flow Shop,NWFS）调度问题,提出了一个混合禁忌搜索算法（Hybrid Taboo Search,HTS）,以启发式算法产生的解作为初始解,通过禁忌搜索进一步提高解的质量。大量随机产生实例的实验结果表明：提出的HTS算法在总体性能上优于经典的RAJ、VNS和GASA算法,因此该算法具有可行性和优越性。     

A novel differential evolution algorithm for bi-criteria no-wait flow shop scheduling problems

This paper presents a novel discrete differential evolution (DDE) algorithm for solving the no-wait flow shop scheduling problems with makespan and maximum tardiness criteria. First, the individuals in the DDE algorithm are represented as discrete job permutations, and new mutation and crossover operators are developed based on this representation. Second, an elaborate one-to-one selection operator is designed by taking into account the domination status of a trial individual with its counterpart target individual as well as an archive set of the non-dominated solutions found so far. Third, a simple but effective local search algorithm is developed to incorporate into the DDE algorithm to stress the balance between global exploration and local exploitation. In addition, to improve the efficiency of the scheduling algorithm, several speed-up methods are devised to evaluate a job permutation and its whole insert neighborhood as well as to decide the domination status of a solution with the archive set. Computational simulation results based on the well-known benchmarks and statistical performance comparisons are provided. It is shown that the proposed DDE algorithm is superior to a recently published hybrid differential evolution (HDE) algorithm [Qian B, Wang L, Huang DX, Wang WL, Wang X. An effective hybrid DE-based algorithm for multi-objective flow shop scheduling with limited buffers. Computers & Operations Research 2009;36(1):209–33] and the well-known multi-objective genetic local search algorithm (IMMOGLS2) [Ishibuchi H, Yoshida I, Murata T. Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling. IEEE Transactions on Evolutionary Computation 2003;7(2):204–23] in terms of searching quality, diversity level, robustness and efficiency. Moreover, the effectiveness of incorporating the local search into the DDE algorithm is also investigated.     

求解流水车间调度问题的混合粒子群算法

针对最小化流水车间调度总完工时间问题,提出了一种混合的粒子群优化算法(Hybrid Particle Swarm Algorithm,HPSA),采用启发式算法产生初始种群,将粒子群算法、遗传操作以及局部搜索策略有效地结合在一起。用Taillard’s基准程序随机产生大量实例,实验结果显示:HPSA通过对种群选取方法的改进和搜索范围的扩大提高了解的质量,在性能上均优于目前较有效的启发式算法和混合的禁忌搜索算法,产生最好解的平均百分比偏差和标准偏差均显著下降,最优解所占比例大幅度提高。     

A hybrid discrete differential evolution algorithm for the no-idle permutation flow shop scheduling problem with makespan criterion

This paper presents a hybrid discrete differential evolution (HDDE) algorithm for the no-idle permutation flow shop scheduling problem with makespan criterion, which is not so well studied. The no-idle condition requires that each machine must process jobs without any interruption from the start of processing the first job to the completion of processing the last job. A novel speed-up method based on network representation is proposed to evaluate the whole insert neighborhood of a job permutation and employed in HDDE, and moreover, an insert neighborhood local search is modified effectively in HDDE to balance global exploration and local exploitation. Experimental results and a thorough statistical analysis show that HDDE is superior to the existing state-of-the-art algorithms by a significant margin.     

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.     

解决具有混合约束柔性流水车间调度问题的粒子群优化算法

针对既存在阻塞限制工件又存在无等待约束工件的柔性流水车间调度问题, 提出了一种离散粒子群优化的求解方法。该方法采用基于排列的编码形式, 设计了推进—迭代算法进行解码并计算问题目标值, 利用离散粒子群优化算法进行全局优化, 利用迭代贪婪(iterated greedy, IG)算法提高种群个体的局部搜索能力。此外, 根据问题特点, 提出最早释放优先(first release first, FRF)和最早完工优先(first complete first, FCF)两种机器分配策略。仿真结果表明, 所提出的方法求解混合约束下柔性流水车间调度问题是可行的、有效的。     

Optimizing distributed no-wait flow shop scheduling problem with setup times and maintenance operations via iterated greedy algorithm

Nowadays, distributed scheduling problem is a reality in many companies. Over the last years, an increasingly attention has been given to the distributed flow shop scheduling problem and the addition of constraints to the problem. This article introduces the distributed no-wait flow shop scheduling problem with sequence-dependent setup times and maintenance operations to minimize makespan. A mixed-integer linear programming (MILP) is to mathematically describe the problem and heuristic procedures to incorporate maintenance operations to job scheduling are proposed. An Iterated Greedy with Variable Search Neighborhood (VNS), named IG_NM, is proposed to solve small and large instances with size of 4,800 and 13,200 problems, respectively. Computational experiments were conducted to evaluate the performance of IG_NM in comparison with MILP and the most recent methods of literature of distributed flow shop scheduling problems. Statistical results show that in the trade-off between effectiveness and efficiency the proposed IG_NM outperformed other metaheuristics of the literature.     

动态子和声算法求解无等待批量流水线问题

针对无等待批量流水线调度问题,根据和声算法的机理,提出了一种改进的和声算法对其进行求解。利用NEH和混沌序列相结合的方法产生初始解,并实现了和声向量与工序之间的转换;充分利用最优解,设计新的更新算子,为了避免陷入局部最优,引入了变异策略;结合蛙跳算法分组的特点,将和声库随机动态的分成了几个子和声;为平衡算法的全局开发和局部搜索的能力,对子和声中的最优解执行了局部搜索。通过仿真实验与其他几种算法进行比较,证明了算法的有效性。     

An extended teaching-learning based optimization algorithm for solving no-wait flow shop scheduling problem

The no-wait flow shop scheduling problem (NWFSSP) performs an important function in the manufacturing industry. Inspired by the overall process of teaching-learning, an extended framework of meta-heuristic based on the teaching-learning process is proposed, which consists of four parts, i.e. previewing before class, teaching phase, learning phase, reviewing after class. This paper implements a hybrid meta-heuristic based on probabilistic teaching-learning mechanism (mPTLM) to solve the NWFSSP with the makespan criterion. In previewing before class, an initial method that combines a modified Nawaz-Enscore-Ham (NEH) heuristic and the opposition-based learning (OBL) is introduced. In teaching phase, the Gaussian distribution is employed as the teacher to guide learners to search more promising areas. In learning phase, this paper presents a new means of communication with crossover. In reviewing after class, an improved speed-up random insert local search based on simulated annealing (SA) is developed to enhance the local searching ability. The computational results and comparisons based on Reeves, Taillard and VRF’s benchmarks demonstrate the effectiveness of mPTLM for solving the NWFSSP.     

A multi-restart iterated local search algorithm for the permutation flow shop problem minimizing total flow time

A variety of metaheuristics have been developed to solve the permutation flow shop problem minimizing total flow time. Iterated local search (ILS) is a simple but powerful metaheuristic used to solve this problem. Fundamentally, ILS is a procedure that needs to be restarted from another solution when it is trapped in a local optimum. A new solution is often generated by only slightly perturbing the best known solution, narrowing the search space and leading to a stagnant state. In this paper, a strategy is proposed to allow the restart solution to be generated from a group of solutions drawn from local optima. This allows an extension of the search space, while maintaining the quality of the restart solution. A multi-restart ILS (MRSILS) is proposed, with the performance evaluated on a set of benchmark instances and compared with six state of the art metaheuristics. The results show that the easily implementable MRSILS is significantly better than five of the other metaheuristics and comparable to or slightly better than the remaining one.