Multiprocessor task scheduling in multistage hybrid flow-shops: A parallel greedy algorithm approach

Hybrid flow shop scheduling problems have a special structure combining some elements of both the flow shop and the parallel machine scheduling problems. Multiprocessor task scheduling problem can be stated as finding a schedule for a general task graph to execute on a multiprocessor system so that the schedule length can be minimized. Hybrid Flow Shop Scheduling with Multiprocessor Task (HFSMT) problem is known to be NP-hard. In this study we present an effective parallel greedy algorithm to solve HFSMT problem. Parallel greedy algorithm (PGA) is applied by two phases iteratively, called destruction and construction. Four constructive heuristic methods are proposed to solve HFSMT problems. A preliminary test is performed to set the best values of control parameters, namely population size, subgroups number, and iteration number. The best values of control parameters and operators are determined by a full factorial experimental design using our PGA program. Computational results are compared with the earlier works of O?uz et al. [1], [3], and O?uz [2]. The results indicate that the proposed parallel greedy algorithm approach is very effective in terms of reduced total completion time or makespan (C_max) for the attempted problems.     

针对移动云计算任务迁移的快速高效调度算法

计算量较大的应用程序由于需要大量的能耗,因此在电池容量有限的移动设备上运行时十分受限。云计算迁移技术是保证此类应用程序在资源有限的设备上运行的主流方法。针对无线网络中应用程序任务图的调度和迁移问题,提出了一种快速高效的启发式算法。该算法将能够迁移到云端的任务都安排在云端完成这种策略作为初始解,通过逐次计算可迁移任务在移动端运行的能耗节省量,依次将节省量最大的任务迁移到移动端,并依据任务间的通讯时间及时更新各个任务的能耗节省量。为了寻找全局最优解,构造了适用于此问题的禁忌搜索算法,给出了相应的编码方法、禁忌表、邻域解以及算法终止准则。构造的禁忌搜索算法以提出的启发式解为初始解进行全局搜索,并实现对启发解的进一步优化。通过 实验 将所提方法与无迁移、随机迁移、饱和迁移3类算法进行对比,结果表明提出的启发式算法能够快速有效地给出能耗更小的解。例如,在宽度为10的任务图上,当深度为8时,无迁移、随机迁移与饱和迁移的能耗分别为5461、3357和2271能量单位,而给出的启发解对应的能耗仅为2111。在此基础上禁忌搜索算法又将其能耗降低到1942, 这进一步说明了提出的启发式算法能够产生高质量的近似解。     

On parallelizing the multiprocessor scheduling problem

Existing heuristics for scheduling a node and edge weighted directed task graph to multiple processors can produce satisfactory solutions but incur high time complexities, which tend to exacerbate in more realistic environments with relaxed assumptions. Consequently, these heuristics do not scale well and cannot handle problems of moderate sizes. A natural approach to reducing complexity, while aiming for a similar or potentially better solution, is to parallelize the scheduling algorithm. This can be done by partitioning the task graphs and concurrently generating partial schedules for the partitioned parts, which are then concatenated to obtain the final schedule. The problem, however, is nontrivial as there exists dependencies among the nodes of a task graph which must be preserved for generating a valid schedule. Moreover, the time clock for scheduling is global for all the processors (that are executing the parallel scheduling algorithm), making the inherent parallelism invisible. In this paper, we introduce a parallel algorithm that is guided by a systematic partitioning of the task graph to perform scheduling using multiple processors. The algorithm schedules both the tasks and messages, and is suitable for graphs with arbitrary computation and communication costs, and is applicable to systems with arbitrary network topologies using homogeneous or heterogeneous processors. We have implemented the algorithm on the Intel Paragon and compared it with three closely related algorithms. The experimental results indicate that our algorithm yields higher quality solutions while using an order of magnitude smaller scheduling times. The algorithm also exhibits an interesting trade-off between the solution quality and speedup while scaling well with the problem size     

基于遗传算法的网格任务调度方法分析

网格任务调度为多项式复杂程度的非确定性问题,其中所有非确定性多项式时间可解的判定问题,共同构成了NP类问题。如何快速地找到全局最优解是网格任务调度的难点所在。而遗传算法在验证猜测的正确性方面,具有自动获取和快速搜索的特性,是解决非线性问题的最优方案。本文主要对基于遗传算法的网格任务调度方法进行分析,通过网格任务调度模型构建、资源分配等操作,来完成遗传算法的仿真实验研究。     

A static scheduling algorithm for distributed hard real-time systems

A static scheduling algorithm is presented for off-line scheduling of tasks in distributed hard real-time systems. The tasks considered are instances of periodic jobs and have deadlines, resource requirements and precedence constraints. Tasks are divided into nonpreemptable blocks and all task characteristics are known a priori. The algorithm orders the tasks and iteratively schedules the tasks according to the order. Each task is scheduled globally by selecting a node to which it is assigned. Then, the task is scheduled locally by adding the task to the schedule of the selected node. Heuristics are used for both task ordering and node selection in order to guide the algorithm to a feasible schedule. Whenever local scheduling leads to an infeasible schedule, backtracking is used.Results of simulation studies of randomly generated task sets are presented. Although the scheduling problem is NP-hard, the results show that time performance is acceptable for off-line scheduling, except for extremely difficult task sets which make extensive use of the available resources.     

Iterative list scheduling for heterogeneous computing

Optimal scheduling of parallel applications on distributed computing systems represented by directed acyclic graph (DAG) is NP-complete in the general case. List scheduling is a very popular heuristic method for DAG-based scheduling. However, it is more suited to homogenous distributed computing systems. This paper presents an iterative list scheduling algorithm to deal with scheduling on heterogeneous computing systems. The main idea in this iterative scheduling algorithm is to improve the quality of the schedule in an iterative manner using results from previous iterations. The algorithm first uses the heterogeneous earliest-finish-time (HEFT) algorithm to find an initial schedule and iteratively improves it. Hence the algorithm can potentially produce shorter schedule length. The simulation results show that in the majority of the cases, there is significant improvement to the initial schedule. The algorithm is also found to perform best when the tasks to processors ratio is large.     

一个调度Out-Tree任务图的新算法

Out-Tree任务图代表分治算法的一大类问题。本文专门针对该类任务图,提出了一个新的调度算法。它利用fork结构的最优调度为各任务定义优先级,准确的反映了任务对调度的影响,保证了任务的正确调度顺序,得到优的调度长度。并在不改变调度长度的情况下,将结点尽可能地分配到已用处理器上,节省了处理器。实验表明,本文算法的调度性能优于现有同类算法。     

Balancing stochastic two-sided assembly line with multiple constraints using hybrid teaching-learning-based optimization algorithm

Two-sided assembly lines are usually found in the factories which produce large-sized products. In most literatures, the task times are assumed to be deterministic while these tasks may have varying operation times in real application, causing the reduction of performance or even the infeasibility of the schedule. Moreover, the ignorance of some specific constraints including positional constraints, zoning constraints and synchronism constraints will result in the invalidation of the schedule. To solve this stochastic two-sided assembly line balancing problem with multiple constraints, we propose a hybrid teaching-learning-based optimization (HTLBO) approach which combines both a novel teaching-learning-based optimization algorithm for global search and a variable neighborhood search with seven neighborhood operators for local search. Especially, a new priority-based decoding approach is developed to ensure that the selected tasks satisfy most of the constraints identified by multiple thresholds of the priority value and to reduce the idle times related to sequence-dependence among tasks. Experimental results on benchmark problems demonstrate both remarkable efficiency and universality of the developed decoding approach, and the comparison among 11 algorithms shows the effectiveness of the proposed HTLBO.     

实时多处理器系统的动态分批优化调度算法

提出了一种实时多处理器系统的新的高效动态调度算法--动态分批优化调度算法,该算法突破了以往算法中一次只安排一项任务的做法,采用在每次扩充当前局部调度时,按一定规则在待调度的任务集中选取一批任务,对该批任务中的每项任务在每个处理器上运行构造目标函数,将问题转化为非平衡分配问题,一次性为这些任务都安排一个处理器或为每个处理器安排一项任务,使得这种安排具有最好的"合适性",以增大未安排任务的可行性.这种方法极大地提高了算法的调度成功率.同时,为了研究该算法的有效性,对其进行了大量的模拟,分析了一些任务参数的变化对算法调度成功率的影响,并与节约算法的调度成功率进行了比较.模拟结果显示,在节约算法的调度成功率小于10%的约束条件下,该算法的调度成功率大于90%,说明新算法的优势是非常明显的.     

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     

Cache Aware Pre-Runtime Scheduling

We present a novel pre-runtime scheduling method for uniprocessors which precisely takes the effects of task switching on the processor cache into consideration. Tasks are modelled as a sequence of non preemptable segments with precedence constraints. The cache behavior of each task segment is statically determined by abstract interpretation. For the sake of efficiency, the scheduling algorithm uses a heuristically guided search strategy. Each time a new task segment is added to a partial schedule, its worst case execution time is calculated based on the cache state at the end of the preceding partial schedule.     

A hybrid heuristic–genetic algorithm for task scheduling in heterogeneous processor networks

Efficient task scheduling on heterogeneous distributed computing systems (HeDCSs) requires the consideration of the heterogeneity of processors and the inter-processor communication. This paper presents a two-phase algorithm, called H2GS, for task scheduling on HeDCSs. The first phase implements a heuristic list-based algorithm, called LDCP, to generate a high quality schedule. In the second phase, the LDCP-generated schedule is injected into the initial population of a customized genetic algorithm, called GAS, which proceeds to evolve shorter schedules. GAS employs a simple genome composed of a two-dimensional chromosome. A mapping procedure is developed which maps every possible genome to a valid schedule. Moreover, GAS uses customized operators that are designed for the scheduling problem to enable an efficient stochastic search. The performance of each phase of H2GS is compared to two leading scheduling algorithms, and H2GS outperforms both algorithms. The improvement in performance obtained by H2GS increases as the inter-task communication cost increases.     

Combined task and message scheduling in distributed real-timesystems

The paper presents an algorithm for offline scheduling of communicating tasks with precedence and exclusion constraints in distributed hard real time systems. Tasks are assumed to communicate via message passing based on a time bounded communication paradigm, such as the real time channel (D.D. Kandlur et al., 1994). The algorithm uses a branch-and-bound (B & B) technique to search for a task schedule by minimizing maximum task lateness (defined as the difference between task completion time and task deadline), and exploits the interplay between task and message scheduling to improve the quality of solution. It generates a complete schedule at each vertex in the search tree, and can be made to yield a feasible schedule (found before reaching an optimal solution), or proceed until an optimal task schedule is found. We have conducted an extensive simulation study to evaluate the performance of the proposed algorithm. The algorithm is shown to scale well with respect to system size and degree of intertask interactions. It also offers good performance for workloads with a wide range of CPU utilizations and application concurrency. For larger systems and higher loads, we introduce a greedy heuristic that is faster but has no optimality properties. We have also extended the algorithm to a more general resource-constraint model, thus widening its application domain     

混合流水车间调度的变邻域禁忌搜索算法

针对混合流水车间系统的最小化Makespan调度问题,提出一种基于关键路径理论的变邻域禁忌搜索算法,讨论其关键技术。在该算法中,提出基于关键路径的毗邻域概念,防止搜索算法陷入局部最优解,采用变邻域搜索策略,在无法改进解时,实现对移动毗邻域的搜索。仿真结果表明,该算法获得的调度结果优于简化禁忌搜索和启发式算法。     

基于遗传禁忌算法结合解决排课问题

排课问题是一典型NP-Hard问题，通常可以使用遗传算法进行解决，把遗传算法与局部搜索方法禁忌算法有机结合起来，是改进遗传算法性能的一个卓有成效的方法。使用遗传禁忌算法解决排课问题，并且通过改变个体适应度的计算方法，避免了排课中课表的两极分化现象。通过实验，该方法可以取得较好的排课结果。     

A case study of scheduling storage tanks using a hybrid geneticalgorithm

This paper proposes the application of a hybrid genetic algorithm (GA) for scheduling storage tanks. The proposed approach integrates GAs and heuristic rule-based techniques, decomposing the complex mixed-integer optimization problem into integer and real-number subproblems. The GA string considers the integer problem and the heuristic approach solves the real-number problems within the GA framework. The algorithm is demonstrated for three test scenarios of a water treatment facility at a port and has been found to be robust and to give a significantly better schedule than those generated using a random search and a heuristic-based approach     

CCTD：一种通信限制下的Fork-Join任务调度算法

现代并行系统的复杂调度问题可以转化为Fork-join图的任务调度问题.然而在实际计算环境中,两个处理节点之间的通信大多以独占方式进行,现有的大多数任务调度算法往往忽略了对通信信道独占性的考虑.提出了一种带通信限制的Fork-join图调度算法CCTD.该算法引入了实际环境中的通信独占性限制,同时保证了Fork-join图的基于复制的优化调度,而且尽可能地减少了对处理器占用.实验结果表明,CCTD算法是一种适应性强的、高效的Fork-join图调度算法.     

基于异构CMP的改进蚁群优化任务调度策略

为提高异构CMP任务调度执行效率,充分发挥异构CMP的异构性和并行能力,提出一种基于异构CMP的改进蚁群优化任务调度算法--IACOTS。IACOTS算法首先建立任务调度模型、路径选择规则和信息素更新规则,使蚁群算法能够适用于异构CMP任务调度问题。同时通过采用动态信息素更新、相遇并行搜索策略和引入遗传算法中的变异因子对基本的蚁群算法进行优化,克服蚁群算法搜索时间过长和“早熟”现象。通过仿真实验获得的结果表明,IACOTS算法执行效率优于现有的遗传算法,完成相同的任务需要的迭代次数最少,能有效降低程序执行时间,适用于异构CMP等大规模并行环境的任务调度。     

基于病毒进化遗传算法的复杂产品设计任务规划

为提高复杂决策环境下产品设计任务规划的科学性,针对设计项目中资源以知识型员工为主的特点,综合考虑项目时间最短、完成质量最高及设计人员负载均衡等问题建立多目标优化的数学模型.在此基础上,为提高横向搜索能力以获得多样性解,提出了基于病毒进化机制的求解算法,其中引入多种群思想以使算法适用于多目标问题,并采用非支配排序保证算法全局搜索能力.最后通过仿真分析对文中算法进行了验证.     

基于粒子群优化的异构多处理器任务调度算法

为提高异构多处理器任务调度的执行效率,充分发挥多处理器并行性能,提出一种基于粒子群优化的异构多处理器任务调度算法——FPSOTTS算法。该算法以求得任务最短完成时间为目标,首先通过建立新的编码方式和粒子更新公式实现粒子搜索空间到离散空间的映射,使连续的粒子群优化算法适用于离散的异构多处理器任务调度问题;同时通过引入禁忌算法进行局部搜索,克服粒子群算法的早熟收敛现象,避免陷入局部最优。实验结果表明,FPSOTTS算法的执行效率优于Min-min算法和遗传算法,有效地降低任务的执行时间。FP-SOTTS算法很好地解决了异构多处理器任务调度问题,并且适合于大规模并行任务调度。