A Discrete Inter-Species Cuckoo Search for flowshop scheduling problems

This paper presents a discrete version of the Inter-Species Cuckoo Search (ISCS) algorithm and illustrates its use for solving two significant types of the flow-shop scheduling problems. These are Hybrid Flow-shop Scheduling (HFS) and Permutation Flow-shop Sequencing Problems (PFSP). Hybrid flowshop scheduling problems are a generalization of flowshops having parallel machines in some stages and these problems are known to be NP-hard. A heuristic rule called the Smallest Position Value (SPV) is used to enable the continuous inter-species cuckoo search to be applied to most types of sequencing problems. Makespan and mean flow time are the objective functions considered and computational experiments are carried out to compare the proposed Discrete Inter-Species Cuckoo Search (DISCS) with other state-of-the-art meta-heuristic algorithms. Experimental results confirm the superiority of DISCS with respect to many other existing metaheuristic search algorithms.     

Modified Cuckoo Search Algorithm to Solve Economic Power Dispatch Optimization Problems

A modified cuckoo search (CS) algorithm is proposed to solve economic dispatch (ED) problems that have nonconvex, non-continuous or non-linear solution spaces considering valve-point effects, prohibited operating zones, transmission losses and ramp rate limits. Comparing with the traditional cuckoo search algorithm, we propose a self-adaptive step size and some neighbor-study strategies to enhance search performance. Moreover, an improved lambda iteration strategy is used to generate new solutions. To show the superiority of the proposed algorithm over several classic algorithms, four systems with different benchmarks are tested. The results show its efficiency to solve economic dispatch problems, especially for large-scale systems.      

A heuristic algorithm to minimize total weighted tardiness on a single machine with release times

This paper attempts to solve a single machine‐scheduling problem, in which the objective function is to minimize the total weighted tardiness with different release dates of jobs. To address this scheduling problem, a heuristic scheduling algorithm is presented. A mathematical programming formulation is also formulated to validate the performance of the heuristic scheduling algorithm proposed herein. Experimental results show that the proposed heuristic algorithm can solve this problem rapidly and accurately. Overall, this algorithm can find the optimal solutions for 2200 out of 2400 randomly generated problems (91.67%). For the most complicated 20 job cases, it requires less than 0.0016 s to obtain an ultimate or even optimal solution. This heuristic scheduling algorithm can therefore efficiently solve this kind of problem.     

双层规划的改进混合布谷鸟搜索量子行为粒子群优化算法

为解决粒子群优化（PSO）算法求解双层规划问题时易陷入局部最优解的问题,提出了一种基于模拟退火（SA）Metropolis准则的改进混合布谷鸟搜索量子行为粒子群优化（ICSQPSO）算法。首先,该混合算法引入SA算法中的Metropolis准则,在求解过程中既能接受好解也能以一定的概率接受坏解,增强全局寻优能力;接着,为布谷鸟搜索算法设计一种改进动态步长Lévy飞行,以保持粒子群在优化过程中较高的多样性,保证搜索广度;最后,利用布谷鸟搜索算法中的偏好随机游走机制帮助粒子跳出局部最优解。通过对13个涵盖非线性规划、分式规划、多个下层规划的双层规划实例的数值实验,结果表明：ICSQPSO算法所得12个双层规划的目标函数最优值显著优于对比算法,只有1例的结果稍差,并且有半数实例的结果优于对比算法50%。由此可见,ICSQPSO算法对双层规划的寻优能力明显优于对比算法。     

Two-stage hybrid flow shop with precedence constraints and parallel machines at second stage

This study deals with the two-stage hybrid flow shop (HFS) problem with precedence constraints. Two versions are examined, the classical HFS where idle time between the operations of the same job is allowed and the no-wait HFS where idle time is not permitted. For solving these problems an adaptive randomized list scheduling heuristic is proposed. Two global bounds are also introduced so as to conservatively estimate the distance to optimality of the proposed heuristic. The evaluation is done on a set of randomly generated instances. The heuristic solutions for the classical HFS in average are provably situated below 2% from the optimal ones, and on the other hand, in the case of the no-wait HFS the average deviation is below 5%.     

一种新的求解多维背包问题的分散算法

为了避免蚁群算法在优化搜索过程中易陷入局部最优和早熟收敛,提出一种求解多维背包问题的新型分散搜索算法。该算法是把蚁群算法的构解方法引入到分散搜索算法中,在搜索过程中,既考虑解的质量,又考虑解的分散性。同时,该分散算法还采用了动态更新参考集与阈值接收算法的阈值参数,以控制搜索空间来加快收敛速度。通过选取国际通用MDKP实例库中的多个实例进行测试表明,该算法可以避免陷入局部最优解,能提高全局寻优能力,其结果优于其他现有的方法,并获得了较好的结果。     

并行机间歇过程生产调度的遗传局部搜索算法

研究了一类集成分批的并行机间歇过程调度问题(parallel machine batch process scheduling problem,简称PBPSP),将此问题转化为固定费用运输问题(6xed charge transportation problem,简称FCTP)后,提出了具有集中邻域搜索机制和局部最优逃逸机制的遗传局部搜索算法(genetic local search algorithm,简称GLSA).GLSA算法用先根遍历边排列模式编码生成树解,具有高效的子树补充式单点交叉操作.将基于网络单纯型方法的邻域搜索作为变异算子,并提出了连续随机节点邻域搜索的集中邻域搜索策略以及随机旋转变异与全局邻域搜索相结合的局部最优逃逸策略,极大地强化了遗传局部搜索算法的全局寻优能力.实验表明:GLSA算法获得的解质量优于基于排列编码的遗传算法和基于矩阵编码的遗传算法,得到了所有Benchmark问题的最优解,且具有高鲁棒性.针对一定规模的FCTP问题,GLSA算法比Tabu启发式搜索算法具有更高的获得最优解几率.     

An approach using particle swarm optimization and bottleneck heuristic to solve hybrid flow shop scheduling problem

Hybrid flow shops (HFS) are common manufacturing environments in many industries, such as the glass, steel, paper and textile industries. In this paper, we present a particle swarm optimization (PSO) algorithm for the HFS scheduling problem with minimum makespan objective. The main contribution of this paper is to develop a new approach hybridizing PSO with bottleneck heuristic to fully exploit the bottleneck stage, and with simulated annealing to help escape from local optima. The proposed PSO algorithm is tested on the benchmark problems provided by Carlier and Néron. Experimental results show that the proposed algorithm outperforms all the compared algorithms in solving the HFS problem.     

Tsp-based scheduling in a batch-wise hybrid flow-shop

In the past few years, flexible production systems have allowed an extensive exploitation of new technologies, but have also led to new difficulties in production planning management science. The model presented in this paper extends the traditional HFS (hybrid flow-shop) scheduling problem to the case in which jobs are due to follow strict precedence constraints and batch assignment constraints and the parallel machines at a stage are served by a bottleneck machine. A variant of the well-known TSP problem is used to develop an efficient heuristic solution for the problem. The effectiveness of the proposed approach is validated through a comparison with different heuristics traditionally used in HFS scheduling problems. Furthermore, a simple insertion heuristic based on the TSP model of the problem is tested. Finally, a MIP-based approach is also explored to provide the optimum solutions within much larger times for comparison.     

Deadlock-free scheduling for flexible manufacturing systems using Petri nets and heuristic search

Deadlock-free control and scheduling are two different problems for flexible manufacturing systems (FMSs). They are significant for improving the behaviors of the systems. Based on the Petri net models of FMSs, this paper embeds deadlock control policies into heuristic search algorithm, and proposes a deadlock-free scheduling algorithm to minimize makespan for FMSs. Scheduling is performed as heuristic search in the reachability graph of the Petri net. The searching process is guided by a heuristic function based on firing count vectors of state equation for the Petri net. By using the one-step look-ahead method in the optimal deadlock control policy, the safety of a state is checked. Experimental results are provided to show effectiveness of the proposed heuristic search approach in deadlock-free scheduling for FMSs.     

改进布谷鸟搜索算法求解批量流水线调度问题

针对以最大完工时间为目标的批量流水线调度问题,提出一种改进的布谷鸟搜索算法．该算法采用排序规则的编码方式,将连续个体值的布谷鸟搜索算法直接应用于离散的调度问题．其次,在布谷鸟搜索算法的基础上,一个简单而有效的局部搜索用于批量流水线调度问题的探索．仿真实验表明所提出算法的可行性和有效性．     

云计算中基于改进的布谷鸟算法的资源调度

云计算的资源调度一直以来都是研究的重点,引入布谷鸟算法来解决资源分配问题,首先描述云计算资源模型,其次针对该算法存在局部收敛速度快,容易造成局部最优值的问题,采用三个方面来改进,其一采用变长因子进行调整,减小探索求解质量之间的差别;其二使用差分变异策略更新鸟窝位置;其三使用基于Coelho的混沌全局搜素和局部搜索避免了Levy的随意扰动.通过测试函数说明表明本文算法的性能优于基本布谷鸟算法, Cloudsim仿真平台说明本文的算法在消耗时间,成本和用户满意度方面具有明显的优势.     

量子布谷鸟协同搜索的垃圾回收路径规划方法

针对城市垃圾回收路径规划问题,提出了一种量子布谷鸟协同搜索算法,用于优化最短路径.首先,采用Bloch球面坐标量子编码来扩大解空间;然后设计了一种基于差分进化的量子布谷鸟搜索策略,实现较差个体的改进以及劣势个体与优势个体之间的信息交换,增强全局搜索能力;最后,利用一种局部邻域搜索算法进一步提高解的质量.理论分析了所提算法的收敛性.基于无线传感网络采集数据进行了仿真实验,将量子布谷鸟协同搜索算法与传统遗传算法和量子布谷鸟搜索算法分别比较,求解垃圾回收最短路径问题的最优解和平均解均改进了20%~40%,结果证明了量子布谷鸟协同搜索算法的优越性.     

ACOCS:一种云环境下资源调度混合算法

蚁群算法在优化组合问题中有着重要的意义,传统的蚁群调度算法搜索速度慢、容易陷入局部最优。针对这种情况,结合布谷鸟搜索算法,提出一种基于蚁群算法与布谷鸟搜索算法的混合算法(ACOCS),用于云环境下的资源调度。该方法有效保留了蚁群算法求解精度高和鲁棒性的特性,并融入了布谷鸟搜索具有快速全局搜索能力的优势。仿真实验结果表明,提出的ACOCS调度算法有效减少了调度所需的响应时间,也在一定程度上提高了系统资源利用率。     

A genetic algorithm for multiprocessor scheduling

The problem of multiprocessor scheduling can be stated as finding a schedule for a general task graph to be executed on a multiprocessor system so that the schedule length can be minimized. This scheduling problem is known to be NP-hard, and methods based on heuristic search have been proposed to obtain optimal and suboptimal solutions. Genetic algorithms have recently received much attention as a class of robust stochastic search algorithms for various optimization problems. In this paper, an efficient method based on genetic algorithms is developed to solve the multiprocessor scheduling problem. The representation of the search node is based on the order of the tasks being executed in each individual processor. The genetic operator proposed is based on the precedence relations between the tasks in the task graph. Simulation results comparing the proposed genetic algorithm, the list scheduling algorithm, and the optimal schedule using random task graphs, and a robot inverse dynamics computational task graph are presented     

Modified cuckoo optimization algorithm (MCOA) to solve graph coloring problem

In recent years, various heuristic optimization methods have been developed. Many of these methods are inspired by swarm behaviors in nature, such as particle swarm optimization (PSO), firefly algorithm (FA) and cuckoo optimization algorithm (COA). Recently introduced COA, has proven its excellent capabilities, such as faster convergence and better global minimum achievement. In this paper a new approach for solving graph coloring problem based on COA was presented. Since COA at first was presented for solving continuous optimization problems, in this paper we use the COA for the graph coloring problem, we need a discrete COA. Hence, to apply COA to discrete search space, the standard arithmetic operators such as addition, subtraction and multiplication existent in COA migration operator based on the distance's theory needs to be redefined in the discrete space. Redefinition of the concept of the difference between the two habitats as the list of differential movements, COA is equipped with a means of solving the discrete nature of the non-permutation. A set of graph coloring benchmark problems are solved and its performance is compared with some well-known heuristic search methods. The obtained results confirm the high performance of the proposed method.     

求解混合流水车间调度问题的离散布谷鸟算法

为求解混合流水车间调度问题,提出一种离散布谷鸟算法。针对常规解码方法难以获得最优解的缺点,提出一种改进的解码方法,基于工件数与并行机数,按概率随机分配机器;根据标准布谷鸟算法中莱维飞行和巢寄生行为两种位置更新策略的核心思想,提出基于位置交叉和个体距离的离散莱维飞行,设计基于最优插入和最优交换的巢寄生策略。最后算例对比实验结果显示,采用基于改进解码方法的离散布谷鸟算法求解所得结果的平均值最小,验证了改进解码方法能提高解的质量;实例测试所得结果均获得了当前最优解,验证了离散布谷鸟算法求解该类问题的优越性。     

Analysis of a Heuristic for Code Partitioning

In this paper, we analyze the time complexity and performance of a heuristic for code partitioning for Distributed Memory Multiprocessors (DMMs). The partitioning method is data-flow based where all levels of parallelism are exploited. Given a weighted Directed Acyclic Graph (DAG) representation of the program, our algorithm automatically determines the granularity of parallelism by partitioning the graph into tasks to be scheduled on the DMM. The granularity of parallelism depends only on the program to be executed and on the target machine parameters. The output of our algorithm is passed on as input to the scheduling phase. Finding an optimal solution to this problem is NP-complete. Due to the high cost of graph algorithms, it is nearly impossible to come up with close to optimal solutions that do not have very high cost (higher order polynomial). Our proposed heuristic gives good performance and has relatively low cost.     

Metaheuristics for the single machine weighted quadratic tardiness scheduling problem

This paper considers the single machine scheduling problem with weighted quadratic tardiness costs. Three metaheuristics are presented, namely iterated local search, variable greedy and steady-state genetic algorithm procedures. These address a gap in the existing literature, which includes branch-and-bound algorithms (which can provide optimal solutions for small problems only) and dispatching rules (which are efficient and capable of providing adequate solutions for even quite large instances). A simple local search procedure which incorporates problem specific information is also proposed.The computational results show that the proposed metaheuristics clearly outperform the best of the existing procedures. Also, they provide an optimal solution for all (or nearly all, in the case of the variable greedy heuristic) the smaller size problems. The metaheuristics are quite close in what regards solution quality. Nevertheless, the iterated local search method provides the best solution, though at the expense of additional computational time. The exact opposite is true for the variable greedy procedure, while the genetic algorithm is a good all-around performer.     

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。