No-idle permutation flow shop scheduling based on a hybrid discrete particle swarm optimization algorithm

A novel hybrid discrete particle swarm optimization (HDPSO) algorithm is proposed in this paper to solve the no-idle permutation flow shop scheduling problems with the criterion to minimize the maximum completion time (makespan). Firstly, two simple approaches are presented to calculate the makespan of a job permutation. Secondly, a speed-up method is proposed to evaluate the whole insert neighborhood of a job permutation with (n?1)² neighbors in time O(mn ²), where n and m denote the number of jobs and machines, respectively. Thirdly, a discrete particle swarm optimization (DPSO) algorithm based on permutation representation and a local search algorithm based on the insert neighborhood are fused to enhance the searching ability and to balance the exploration and exploitation. Then, computational simulation results based on the well-known benchmarks and statistical performance comparisons are provided. It is concluded that the proposed HDPSO algorithm is not only superior to two recently published heuristics, the improved greedy (IG) heuristic and Kalczynski–Kamburowski (KK) heuristic, in terms of searching quality, but also superior to the single DPSO algorithm and the PSO algorithm with variable neighborhood search (PSOvns) in terms of searching quality, robustness and efficiency.     

解决无等待流水线调度问题的新算法

提出了解决无等待流水线调度问题的3种新算法,即离散粒子群优化算法、离散差异进化算法和阈值接收算法。离散粒子群优化算法和离散差异进化算法采用了基于工件序列的编码方式和新的个体生成方法,从而使具有连续性质的粒子群优化算法和差异进化算法能直接用于求解调度问题。仿真试验表明了上述算法的有效性。     

A discrete PSO for two-stage assembly scheduling problem

In this paper, a discrete particle swarm optimization (PSO) algorithm called DPSO is proposed to solve the two-stage assembly scheduling problem with respect to bicriteria of makespan and mean completion time where setup times are treated as separate from processing times. In DPSO, the particle velocity representation is redefined, and particle movement is modified accordingly. In order to refrain from the shortcoming of premature convergence, individual intensity is defined, which is used to control adaptive mutation of the particle, and mutation mode is decided by the individual fitness. Furthermore, a randomized exchange neighborhood search is introduced to enhance the local search ability of the particle and increase the convergence speed. Finally, the proposed algorithm is tested on different scale problems and compared with the proposed efficient algorithms in the literature recently. The results show that DPSO is an effective and efficient for assembly scheduling problem.     

基于混合粒子群优化算法的置换流水车间调度问题研究

针对最大完工时间最小的置换流水车间调度问题,提出一种粒子群优化算法与变邻域搜索算法结合的混合粒子群优化（hybrid particle swarm optimization,HPSO）算法。在该混合算法中,采用NEH启发式算法进行种群初始化,以提高初始解质量。运用基于随机键的升序排列规则（ranked-or-der-value,ROV）,将连续PSO算法应用于离散置换流水车间调度问题中,提出了一种基于关键路径的变邻域搜索算法,以进一步提高算法的局部搜索能力,使算法在集中搜索和分散搜索之间达到合理的平衡。最后,运用提出的混合算法求解Taillard和Watson基准测试集,并将测试结果与一些代表算法进行比较,验证了该调度算法的有效性。     

Novel Discrete Particle Swarm Optimization Based on Huge Value Penalty for Solving Engineering Problem

For the purpose of solving the engineering constrained discrete optimization problem, a novel discrete particle swarm optimization(DPSO) is proposed. The proposed novel DPSO is based on the idea of normal particle swarm optimization(PSO), but deals with the variables as discrete type, the discrete optimum solution is found through updating the location of discrete variable. To avoid long calculation time and improve the efficiency of algorithm, scheme of constraint level and huge value penalty are proposed to deal with the constraints, the stratagem of reproducing the new particles and best keeping model of particle are employed to increase the diversity of particles. The validity of the proposed DPSO is examined by benchmark numerical examples, the results show that the novel DPSO has great advantages over current algorithm. The optimum designs of the 100-1 500 mm bellows under 0.25 MPa are fulfilled by DPSO. Comparing the optimization results with the bellows in-service, optimization results by discrete penalty particle swarm optimization(DPPSO) and theory solution, the comparison result shows that the global discrete optima of bellows are obtained by proposed DPSO, and confirms that the proposed novel DPSO and schemes can be used to solve the engineering constrained discrete problem successfully.     

Hybrid discrete particle swarm optimization for multi-objective flexible job-shop scheduling problem

Flexible job-shop problem has been widely addressed in literature. Due to its complexity, it is still under consideration for research. This paper addresses flexible job-shop scheduling problem (FJSP) with three objectives to be minimized simultaneously: makespan, maximal machine workload, and total workload. Due to the discrete nature of the FJSP problem, conventional particle swarm optimization (PSO) fails to address this problem and therefore, a variant of PSO for discrete problems is presented. A hybrid discrete particle swarm optimization (DPSO) and simulated annealing (SA) algorithm is proposed to identify an approximation of the Pareto front for FJSP. In the proposed hybrid algorithm, DPSO is significant for global search and SA is used for local search. Furthermore, Pareto ranking and crowding distance method are incorporated to identify the fitness of particles in the proposed algorithm. The displacement of particles is redefined and a new strategy is presented to retain all non-dominated solutions during iterations. In the presented algorithm, pbest of particles are used to store the fixed number of non-dominated solutions instead of using an external archive. Experiments are performed to identify the performance of the proposed algorithm compared to some famous algorithms in literature. Two benchmark sets are presented to study the efficiency of the proposed algorithm. Computational results indicate that the proposed algorithm is significant in terms of the number and quality of non-dominated solutions compared to other algorithms in the literature.     

Discrete artificial bee colony algorithm for lot-streaming flowshop with total flowtime minimization

Unlike a traditional flowshop problem where a job is assumed to be indivisible, in the lot-streaming flowshop problem, a job is allowed to overlap its operations between successive machines by splitting it into a number of smaller sub-lots and moving the completed portion of the sub-lots to downstream machine. In this way, the production is accelerated. This paper presents a discrete artificial bee colony (DABC) algorithm for a lot-streaming flowshop scheduling problem with total flowtime criterion. Unlike the basic ABC algorithm, the proposed DABC algorithm represents a solution as a discrete job permutation. An efficient initialization scheme based on the extended Nawaz-Enscore-Ham heuristic is utilized to produce an initial population with a certain level of quality and diversity. Employed and onlooker bees generate new solutions in their neighborhood, whereas scout bees generate new solutions by performing insert operator and swap operator to the best solution found so far. Moreover, a simple but effective local search is embedded in the algorithm to enhance local exploitation capability. A comparative experiment is carried out with the existing discrete particle swarm optimization, hybrid genetic algorithm, threshold accepting, simulated annealing and ant colony optimization algorithms based on a total of 160 randomly generated instances. The experimental results show that the proposed DABC algorithm is quite effective for the lot-streaming flowshop with total flowtime criterion in terms of searching quality, robustness and effectiveness. This research provides the references to the optimization research on lot-streaming flowshop.     

A hybrid assembly sequence planning approach based on discrete particle swarm optimization and evolutionary direction operation

Assembly sequence planning (ASP) has always been an important part of the product development process, and ASP problem can usually be understood as to determine the sequence of assembly. A good assembly sequence can reduce the time and cost of the manufacturing process. In view of the local convergence problem with basic discrete particle swarm optimization (DPSO) in ASP, this paper presents a hybrid algorithm to solve ASP problem. First, a chosen strategy of global optimal particle in DPSO is introduced, and then an improved discrete particle swarm optimization (IDPSO) is proposed for solving ASP problems. Through an example study, the results show that the IDPSO algorithm can obtain the global optimum efficiently, but it converges slowly compared with the basic DPSO. Subsequently, a modified evolutionary direction operator (MEDO) is used to accelerate the convergence rate of IDPSO. The results of the case study show that the new hybrid algorithm MEDO-IDPSO is more efficient for solving ASP problems, with excellent global convergence properties and fast convergence rate.     

An assembly sequence planning approach with a discrete particle swarm optimization algorithm

In this paper, a discrete particle swarm optimization (DPSO) algorithm is proposed to solve the assembly sequence planning (ASP) problem. To make the DPSO algorithm effective for solving ASP, some key technologies including a special coding method of the position and velocity of particles and corresponding operators for updating the position and velocity of particles are proposed and defined. The evolution performance of the DPSO algorithm with different setting of control parameters is investigated, and the performance of the proposed DPSO algorithm to solve ASP is verified through a case study.     

基于改进粒子群算法的应变传感器优化布置

在结构健康监测和损伤识别研究中,为了应用有限的试验设备资源获取尽可能多的有效测试信息,快速有效地解决应变传感器的优化配置问题,提出了一种基于克隆选择和离散粒子群混合算法优化新型适应度函数的应变传感器优化布置方法,并将该方法应用到拉西瓦拱坝上。结果表明,基于改进克隆选择和离散粒子群混合算法具有更强的全局寻优能力,且提出的应变类适应度函数在保证应变模态正交性和模态应变能方面更有优势。该方法能很好地识别拱坝的应变振型,可在各类结构的模态测试和损伤识别研究中进行推广。     

基于激素调节机制改进型自适应粒子群算法在置换流水车间调度中的应用研究

研究以最小化最大流程时间为调度目标的离散型生产作业中的置换流水车间调度问题,将基于激素调节机制的改进型自适应粒子群算法应用到其中。在该算法中,粒子群算法的个体最优初始值不再是随机生成,而是由基于启发式信息的贪婪随机自适应算法得到的工件加工顺序转换而成,同时借鉴激素调节机制,引入激素调节因子,根据单个粒子周围的粒子的信息,对粒子的飞行方程进行改进,以提高搜索效率和搜索质量。对置换流水车间调度实例Rec系列基准问题进行测试,结果验证算法的有效性。     

An improved artificial bee colony algorithm for the blocking flowshop scheduling problem

This paper presents an improved artificial bee colony (IABC) algorithm for solving the blocking flowshop problem with the objective of minimizing makespan. The proposed IABC algorithm utilizes discrete job permutations to represent solutions and applies insert and swap operators to generate new solutions for the employed and onlooker bees. The differential evolution algorithm is employed to obtain solutions for the scout bees. An initialization scheme based on the problem-specific heuristics is presented to generate an initial population with a certain level of quality and diversity. A local search based on the insert neighborhood is embedded to improve the algorithm's local exploitation ability. The IABC is compared with the existing hybrid discrete differential evolution and discrete artificial bee colony algorithms based on the well-known flowshop benchmark of Taillard. The computational results and comparison demonstrate the superiority of the proposed IABC algorithm for the blocking flowshop scheduling problems with makespan criterion.     

求解无等待流水车间问题的若干算法

提出了解决无等待流水车间问题的离散粒子群优化、离散差异进化、变邻域搜索和阈值接收算法.在离散粒子群优化和离散差异进化中,采用基于工件排列的编码,设计了新的个体生成公式.同时研究了基于串行结构、嵌人结构和协同结构的12种混合算法.仿真计算表明,混合算法具有较高的优化性能.     

解决无等待流水车间调度问题的离散粒子群优化算法

针对以生产周期为目标的无等待流水车间调度问题,提出了一种离散粒子群优化算法.研究了无等待流水车间调度问题的快速邻域搜索技术,并将其分别用于加强粒子、个体极值或全体极值的邻域探索能力,得到了三种改进的离散粒子群优化算法.基于典型算例的试验,表明了上述算法的有效性.     

考虑节能的改进多目标樽海鞘群算法TFT-LCD面板阵列制程调度问题

TFT-LCD面板生产的阵列制程是可重入混合流水车间调度问题,采用一种改进多目标樽海鞘群算法对其进行优化求解。构建以最大完工时间、总拖期时间和总耗能为优化目标的数学规划模型;针对该问题结构特点,对基本多目标樽海鞘群算法进行了一系列改进操作,包括基于升序排列的随机键编码、PS方法解码、基于Lévy飞行的领导者个体位置更新方式,以及外部档案中非支配个体的变邻域搜索操作,并采用田口方法进行算法参数设置;最后通过对基准算例的数值实验,将改进多目标樽海鞘群算法与基本多目标樽海鞘群算法、多目标粒子群优化算法、快速非支配排序遗传算法进行对比,实验结果表明了改进多目标樽海鞘群算法的有效性。     

改进的粒子群优化算法及其工程应用

针对单目标粒子群优化算法局部搜索能力差,不能有效求解高维、复杂工程问题等缺点,提出了一种改进的粒子群优化算法,即单纯形粒子群优化方法的混合算法(SM PSO)。该混合算法,在继承粒子群优化算法原有优点的同时,不但可减少计算规模,且有效地增强了粒子群优化算法的局部搜索能力,提高了算法的鲁棒性能。文中采用30维经典测试函数及齿轮减速器优化问题作为算例,验证了该算法的优越性能。     

多目标批量生产柔性作业车间优化调度

研究批量生产中以生产周期、最大提前/最大拖后时间、生产成本以及设备利用率指标(机床总负荷和机床最大负荷)为调度目标的柔性作业车间优化调度问题。提出批量生产优化调度策略,建立多目标优化调度模型,结合多种群粒子群搜索与遗传算法的优点提出具有倾向性粒子群搜索的多种群混合算法,以提高搜索效率和搜索质量。仿真结果表明,该模型及算法较目前国内外现有方法更为有效和合理。最后,从现实生产实际出发给出多目标批量生产柔性调度算例,结果可行,可对生产实践起到一定的指导作用。     

A hybrid EDA with ACS for solving permutation flow shop scheduling

This paper proposes a hybrid estimation of distribution algorithm (EDA) with ant colony system (ACS) for the minimization of makespan in permutation flow shop scheduling problems. The core idea of EDA is that in each iteration, a probability model is estimated based on selected members in the iteration along with a sampling method applied to generate members from the probability model for the next iteration. The proposed algorithm, in each iteration, applies a new filter strategy and a local search method to update the local best solution and, based on the local best solution, generates pheromone trails (a probability model) using a new pheromone-generating rule and applies a solution construction method of ACS to generate members for the next iteration. In addition, a new jump strategy is developed to help the search escape if the search becomes trapped at a local optimum. Computational experiments on Taillard’s benchmark data sets demonstrate that the proposed algorithm generated high-quality solutions by comparing with the existing population-based search algorithms, such as genetic algorithms, ant colony optimization, and particle swarm optimization.     

An effective hybrid particle swarm optimization for no-wait flow shop scheduling

The no-wait flow shop scheduling that requires jobs to be processed without interruption between consecutive machines is a typical NP-hard combinatorial optimization problem, and represents an important area in production scheduling. This paper proposes an effective hybrid algorithm based on particle swarm optimization (PSO) for no-wait flow shop scheduling with the criterion to minimize the maximum completion time (makespan). In the algorithm, a novel encoding scheme based on random key representation is developed, and an efficient population initialization, an effective local search based on the Nawaz-Enscore-Ham (NEH) heuristic, as well as a local search based on simulated annealing (SA) with an adaptive meta-Lamarckian learning strategy are proposed and incorporated into PSO. Simulation results based on well-known benchmarks and comparisons with some existing algorithms demonstrate the effectiveness of the proposed hybrid algorithm.     

A particle swarm optimization for multi-objective flowshop scheduling

The academic approach of single-objective flowshop scheduling has been extended to multiple objectives to meet the requirements of realistic manufacturing systems. Many algorithms have been developed to search for optimal or near-optimal solutions due to the computational cost of determining exact solutions. This paper provides a particle swarm optimization-based multi-objective algorithm for flowshop scheduling. The proposed evolutionary algorithm searches the Pareto optimal solution for objectives by considering the makespan, mean flow time, and machine idle time. The algorithm was tested on benchmark problems to evaluate its performance. The results show that the modified particle swarm optimization algorithm performed better in terms of searching quality and efficiency than other traditional heuristics.