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.     

处理顺序约束的信息物理融合系统静态任务表调度算法

针对异构环境并行计算的静态任务调度问题,以最小化有向无环图 (Directed acyclic graph, DAG)的执行跨度为目标,改变HEFT (Heterogeneous earliest finish time)算法中任务上行权重的计算方法, 获得更加合理的任务顺序排列,提出了一种最早完成时间优先的表调度算法IHEFT (Improvement heterogeneous earliest finish time).该算法在计算任务的上行权重时, 分别计算该任务分配给不同资源的上行权重,取其最小值,比使用所有资源对该任务的平均处理时间进行计算的HEFT算法更为准确. 确定任务的处理顺序后采用最早完成时间越小越优先的策略将任务分配给最优资源,并使得任务的开始执行时间和结束时间满足DAG中有向边的通讯时间约束.通过使用部分文献中的算例数据以及随机生成满足一定结构要求的DAG进行算法测试,将IHEFT与HEFT, CPOP (Critical-path-on-a-processor)和LDCP (Longest dynamic critical path)进行了比较,结果显示IHEFT算法更有效,而且时间复杂度较低.     

云计算环境下对资源聚类的工作流任务调度算法

针对云计算环境中资源具有规模庞大、异构性、多样性等特点,提出了一种对资源进行模糊聚类的工作流任务调度算法。经过对网络资源属性进行量化、规范化,以预先构建的任务模型和资源模型为基础,结合模糊数学理论划分资源,使得在任务调度时能够较准确地优先选择综合性能较好的资源类簇,缩短了任务资源相匹配的时间,提高了调度性能。通过仿真实验将此算法与HEFT、DLS进行比较,实验结果表明,当任务在[0,100]范围增加时,该算法平均SLR比HEFT小34%,比DLS小99%,其平均Speedup比HEFT大59%,比DLS大102%;当资源在[0,100]范围增加时,该算法平均SLR比HEFT小36%,比DLS小97%,其平均Speedup比HEFT大45%,比DLS大108%。所提算法实现了对资源的合理划分,且在执行跨度方面具有优越性。     

一种用于异构环境中任务调度的高效算法

在异构计算环境中,有效的任务调度对于获得高性能是十分重要的。现在虽然已经有许多异构处理器调度算法,但它们或者不具有良好的效果,或者算法代价太高。提出了一种新的基于表的调度算法APS。APS利用有向无环图来计算任务优先级,并采用基于调度的策略分配任务到不同处理器,以获得任务最少完工时间。将APS和LMT,HEFT,CPOP算法做比较之后得出：在大多数情况下APS算法都能获得更好性能。     

异构计算环境下基于优先队列划分的调度算法

人工智能的飞速发展对高性能计算提出了更高的要求,异构计算环境下任务调度问题一直是高性能计算中的关键问题.本文提出一种基于优先队列划分的调度算法(PQDSA),该算法根据DAG(有向无循环图)任务集的入口节点数量确定优先队列数,通过任务的通信开销和计算开销划分任务队列,进而将关键节点任务分配给合适的队列,以产生效果较佳的任务调度队列,从而提高任务间的并行性,降低任务集的完工时间.与此同时,进一步基于插入策略将任务调度到处理器上,使任务调度更加高效地执行.PQDSA算法可以减少任务间的时间消耗,提高处理器的调度效率.通过与两个经典算法的性能对比,实验结果表明本文提出的PQDSA算法在任务完工时间和调度效率方面都要明显优于对比的算法.     

物联网环境下具有顺序约束关系的静态任务表调度算法

针对物联网异构调度环境下并行计算的静态任务调度问题,提出了一种基于最早完成时间策略改变调度顺序的表调度算法HDPTS。该算法针对现有表调度算法在调度前不能准确地确定调度顺序的问题,在IHEFT算法的基础上添加了一个动态优先级调度策略,当节点的前驱任务都已经完成调度任务时,就改变该节点的调度优先级。任务优先级的计算在所有前驱任务到达这个任务的最晚完成时间与所有资源上最大可以使用时间之间取最大值的基础上,同时考虑到分配到各个资源上的任务对后继任务的影响和资源上的负载情况,以及上行权重的计算值和对出口任务的影响,使得优先级计算更加合理,能够根据任务分配动态合理改变任务调度顺序。通过随机生成一个算例进行测试,结果表明HDPTS比IHEFT、HEFT在调度长度方面减少14.29%;对大量随机产生的特定结构的有向无环图(DAG)进行测试,测试结果显示HDPTS算法比IHEFT、HEFT和LDCP算法更有效。     

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.     

一种基于负载均衡性的网格任务调度算法

针对二分图匹配算法在任务之间存在时序关系时无法进行有效调度以及EFT算法没有充分考虑各处理机性能及网络通信状况的问题,提出基于二分图匹配的改进ETF算法。该算法综合考虑任务之间的时序关系、处理机的性能、处理机之间的通信情况及已处理任务的调度情况,利用二分图最佳匹配思想对局部任务进行调度。实验表明该算法具有较小的调度长度和较好的负载均衡性。     

车联网数据流的多维服务质量改进异构计算最早完成时间调度算法

针对车联网中数据流分布式处理的调度问题,提出了多维服务质量(QoS)改进异构计算最早完成时间(HEFT)调度算法.首先,分别建立了车联网中数据流的分布式处理任务的带权有向无环图模型和车联网分布式计算资源的七维QoS属性带权无向拓扑结构图模型.其次,改进经典的HEFT调度算法中的列表构造方法为最高层最小后继任务优先列表构造方法; 同时,将车联网分布式计算资源的七维QoS属性进行分组、降维,转化为两维综合属性优先权:计算性能优先权和通信性能优先权,形成了两种不同用户偏好的多维QoS改进HEFT调度算法.最后,通过算例分析表明:两种不同用户偏好的多维QoS改进HEFT调度算法综合性能优于经典的HEFT调度算法和轮询调度算法.     

基于动态关键任务的多处理器任务分配算法

多处理器调度问题是影响系统性能的关键问题,基于任务复制的调度算法是解决多处理器调度问题较为有效的方法.文中分析了几个典型的基于任务复制算法,提出了基于动态关键任务(DCT)的多处理器任务分配算法.DCT算法以克服贪心算法不足为要点,调度过程中动态计算任务时间参数,准确确定处理器的关键任务,以关键任务为核心优化调度,逐步改善调度结果,最终取得最优的调度结果.分析和实验证明,DCT算法优于现有其它同类算法.     

一种面向同构集群系统的并行任务节能调度优化方法

节能调度算法设计是高性能计算领域中的一个研究热点.复制调度算法能够减少后继任务等待延时,缩短任务总体调度时间,但是耗费了更多的能量.为此,作者提出一种启发式处理器合并优化方法 PRO.该方法按照任务最早开始时间和最早结束时间查找处理器时间空隙,将轻负载处理器上的任务重新分配到其它处理器上,从而减少使用的处理器数目,降低系统总体能耗.实验结果表明,和已有的复制任务调度算法TDS、EAD和PEBD相比,优化后的调度算法在不增加调度时间的条件下,能够明显减少使用的处理器数和系统总体能耗,从而更好地实现性能和能耗之间的平衡.     

List scheduling with duplication for heterogeneous computing systems

Effective task scheduling is essential for obtaining high performance in heterogeneous computing systems (HCS). However, finding an effective task schedule in HCS, requires the consideration of the heterogeneity of computation and communication. To solve this problem, we present a list scheduling algorithm, called Heterogeneous Earliest Finish with Duplicator (HEFD). As task priority is a key attribute for list scheduling algorithm, this paper presents a new approach for computing their priority which considers the performance difference in target HCS using variance. Another novel idea proposed in this paper is to try to duplicate all parent tasks and get an optimal scheduling solution. The comparison study, based on both randomly generated graphs and the graphs of some real applications, shows that our scheduling algorithm HEFD significantly surpasses other three well-known algorithms.     

Energy‐efficient scheduling algorithms for batch‐of‐tasks (BoT) applications on heterogeneous computing systems

One of the major design constraints of a heterogeneous computing system is optimal scheduling, that is, mapping of tasks on the processing nodes in order to optimize the QoS parameters. Because of the huge energy consumption by computing resources, negative environmental effects and reduced system reliability, energy has unavoidably been added as a new parameter to the list of QoS parameters. Energy optimization in scheduling strategies along with makespan makes it an even more challenging combinatorial optimization problem. This work proposes two energy‐aware scheduling algorithms G1 and G2 to schedule a batch‐of‐tasks, made of a collection of independent tasks, on heterogeneous processors in order to minimize the makespan and the energy consumption. The proposed algorithms schedule tasks based on weighted aggregation cost function to the appropriate processors followed by task migration phase designed to further minimize the makespan and the energy consumption. The study evaluates the performance of the proposed algorithms with some of the peers, that is, MinMin, MINSuff on account of makespan, energy consumption, flowtime, and utilization. An experimental study reveals that the proposed algorithm (G2) consistently performs better under various test conditions. Copyright © 2015 John Wiley & Sons, Ltd.     

Reliability-aware scheduling strategy for heterogeneous distributed computing systems

Heterogeneous computing systems are promising computing platforms, since single parallel architecture based systems may not be sufficient to exploit the available parallelism with the running applications. In some cases, heterogeneous distributed computing (HDC) systems can achieve higher performance with lower cost than single-machine supersystems. However, in HDC systems, processors and networks are not failure free and any kind of failure may be critical to the running applications. One way of dealing with such failures is to employ a reliable scheduling algorithm. Unfortunately, most existing scheduling algorithms for precedence constrained tasks in HDC systems do not adequately consider reliability requirements of inter-dependent tasks. In this paper, we design a reliability-driven scheduling architecture that can effectively measure system reliability, based on an optimal reliability communication path search algorithm, and then we introduce reliability priority rank (RRank) to estimate the task’s priority by considering reliability overheads. Furthermore, based on directed acyclic graph (DAG) we propose a reliability-aware scheduling algorithm for precedence constrained tasks, which can achieve high quality of reliability for applications. The comparison studies, based on both randomly generated graphs and the graphs of some real applications, show that our scheduling algorithm outperforms the existing scheduling algorithms in terms of makespan, scheduling length ratio, and reliability. At the same time, the improvement gained by our algorithm increases as the data communication among tasks increases.     

A comparison of multiprocessor task scheduling algorithms with communication costs

Both parallel and distributed network environment systems play a vital role in the improvement of high performance computing. Of primary concern when analyzing these systems is multiprocessor task scheduling. Therefore, this paper addresses the challenge of multiprocessor task scheduling parallel programs, represented as directed acyclic task graph (DAG), for execution on multiprocessors with communication costs. Moreover, we investigate an alternative paradigm, where genetic algorithms (GAs) have recently received much attention, which is a class of robust stochastic search algorithms for various combinatorial optimization problems. We design the new encoding mechanism with a multi-functional chromosome that uses the priority representation—the so-called priority-based multi-chromosome (PMC). PMC can efficiently represent a task schedule and assign tasks to processors. The proposed priority-based GA has show effective performance in various parallel environments for scheduling methods.     

TSA—OT：一个调度Out—Tree任务科的算法

对于把一个任务群调度到多个处理器的问题,人们往往只注重找到一个调度路径最短的算法,却忽略了要节省处理器。收于Out-Tree任务图代表分治算法的一大类问题,因此,文中专门针对该任务图,给出了一个基于任务复制的算法TSA－OT。它首先分配关键路径上的任务结点,然后在不改变调度长度的情况下,把非关键路径上的结点尽可能分配到已用的处理器上。并且,该算法将Out-Tree任务图中的所有通信都化为零。TSA－OT算法与近几年所提出的TDS,CPFD,DCP算法之间的比较表明,TSA－OT算法不仅调度长度最短,而且采用了更少或相当个数的处理器。     

基于HXDSP的OpenCL运行时任务调度

OpenCL是一种开源免费的异构计算框架,被各类架构处理器广泛采用. HXDSP是中国电子科技集团公司第38研究所自主研发的国产高性能DSP芯片.为了解决HXDSP异构计算平台调度困难和硬件利用不充分,本文针对OpenCL运行时任务调度系统展开研究,设计了OpenCL运行时期间的任务图自动化提取方法,并结合HXDSP硬件特性和OpenCL执行模型特性对经典的静态调度算法HEFT进行改进,提出了一种异构双粒度最早完成时间优先调度算法HDGEFT,并在HXDSP异构计算平台上设计实验验证算法.实验结果表明经过特殊设计的调度算法在执行效率上有明显优势.     

基于异构分布式系统的实时容错调度算法

目前文献中研究的实时容错调度算法都是基于同构分布式系统，系统中的所有处理机完全相同。该文首先建立了一个基于异构分布式系统实时容错调度模型，异构分布式系统中的各个处理机均不相同。基于该异构分布式系统模型，该文引入了可靠性代价（reliability cost）概念，并提出两种静态实时容错调度算法（RTFTNO和RTFTRC）用于调度周期性实时容错任务。算法RTFTRC在调度任务时，尽量使系统的可靠性代价最小；而算法RTFTNO在调度实时任务时，没有考虑系统的可靠性代价。该文详细讨论了两种调度算法的性能。性能模拟实验分别比较了两个算法的可靠性代价，超时比率和可调度性；并研究了任务的计算时间与可靠性代价的关系以及调度长度阈值与最小处理机个数的关系。实验结果表明，算法RTFTRC的性能优于算法RTFTNO。     

基于HEFT和CPOP的相关任务表调度算法

DAG任务调度是当前研究的热点,DAG任务模型中任务的调度顺序一方面会影响用户服务满意质量,另一方面也会影响云服务资源的利用率,高效的任务调度算法能够使多核处理器的资源分配和并行计算能力更强.表调度算法HEFT算法以及CPOP算法在相关任务调度中存在效率较低等问题.本文基于HEFT算法和CPOP算法,提出了一种相关任务调度模型和相关任务调度算法IHEFT算法,对任务排序和任务调度两个方面进行改进.任务排序阶段,以任务的方差以及平均通信代价作为排序的依据;任务调度阶段,对满足任务复制条件的结点进行任务复制.实验证明,IHEFT算法在任务调度跨度、任务调度平均等待时间以及平均Slack值方面均优于HEFT算法和CPOP算法.     

基于任务复制的处理器预分配算法

基于任务复制的调度算法比无任务复制的调度算法具有较好的性能．文章在分析了基于任务复制的几个典型算法(如TDS，OSA等算法)及其假设条件后，提出了以使调度长度最短作为主要目标、减少处理机数目作为次要目标的处理器预分配算法PPA．该算法对任务计算时间与任务间通信时间未做任何限制(即不考虑任务粒度)．通过与相关工作的比较可以看出：PPA算法在调度长度与处理器使用数目上均优于其它算法或与其它算法相当，同时，该算法具有与TDS，OSA相同的时间复杂度．这对嵌入式实时分布系统具有重要的意义。