基于双层规划的容器云资源动态配置算法

本文分析容器云资源动态配置决策问题,通过定义容器云资源的调度任务,求解得到容器云资源调度时间;利用容器云资源调度任务的最短时间矩阵,获取容器云资源调度所需的条件。在双层规划条件下,求解容器云资源调度的目标函数和约束函数;考虑到用户的任务情况和云数据中心的云资源状况,在虚拟机上构建一个到物理主机的矩阵,通过构建容器云资源动态配置结果在优化时的目标函数,结合约束条件,实现容器云资源的动态配置。实验结果表明,资源动态配置算法不仅可以提高容器云资源的利用率,还可以减少配置完成时间,具有更好的动态配置性能。     

An optimal resources scheduling strategy on multimedia cloud computing under multi- device constraint

In view of the problem of inaccurate scheduling by using traditional resource scheduling method, because the method is mainly based on extracting and classifying the resource features to make scheduling, ignoring the effect of the feature relevance between the resources on the scheduling results. This paper presents a model for multimedia cloud resource scheduling based on multi- device constraint. In this method the objective function is no longer constrained only by the CPU computing capacity and the minimized completion time, but to achieve a minimum time-consuming of CPU, memory and other peripherals operation are considered as the scheduling objectives. Then the utilization of solving constrained jointly is employed to obtain the mapping relationship of the optimal virtual and physical machine. Moreover, a regressive dimensionality reduction algorithm is designed for this scheduling model to solve the high dimensional problems aroused by multi-device constraints. Simulation results show that the improved algorithm has a better performance than the traditional algorithm, has a good efficiency and has a certain convergence.     

分布式计算中基于资源分级的自适应Min-Min算法*

Min-Min任务调度算法的思路总是优先调度执行时间较短的小任务,无法得到理想的最优跨度及资源负载平衡．针对该问题,提出基于资源分级的自适应Min-Min算法．分配任务前,先参考现有资源的属性进行分级处理,再与任务在资源中的最小完成时间作乘积得到的最小任务资源组合进行调度;在任务调度过程中,引入自适应阈值,调节长任务的调度等级,从而达到优化效果．通过模拟仿真实验,表明该算法在时间跨度和负载平衡上均有较好性能．     

基于社会力群智能优化算法的云计算资源调度

为了提高云计算资源的调度效率,提出了一种基于社会力群智能优化算法的云计算资源调度方法.首先将云计算资源调度任务完成时间最短作为社会力群智能优化算法的目标函数,然后通过模拟人群疏散过程中的自组织、拥挤退避行为对最优调度方案进行搜索,最后采用仿真实验对算法性能进行测试.结果表明,相对于其它云计算资源调度方法,该方法可以更快地找到最优云计算资源调度方案,使云计算资源负载更加均衡,提高了云计算资源的利用率.     

基于改进DPSO的网格资源调度算法

基于市场经济模型的网格资源调度问题是一个典型的离散问题及NP-Hard问题,考虑到离散粒子群优化算法在解决离散问题上的有效性,本文在现有算法的研究基础上,提出一种基于改进的离散粒子群优化算法的网格资源分配和任务调度算法,并采用GridSim模拟器对相关算法进行仿真模拟实验和比较。实验结果表明,本文提出的调度算法在作业完成时间、综合性能以及资源的负载平衡方面均具有较大的优势。     

Multihybrid job scheduling for fault-tolerant distributed computing in policy-constrained resource networks

Unpredictable fluctuations in resource availability often lead to rescheduling decisions that sacrifice a success rate of job completion in batch job scheduling. To overcome this limitation, we consider the problem of assigning a set of sequential batch jobs with demands to a set of resources with constraints such as heterogeneous rescheduling policies and capabilities. The ultimate goal is to find an optimal allocation such that performance benefits in terms of makespan and utilization are maximized according to the principle of Pareto optimality, while maintaining the job failure rate close to an acceptably low bound. To this end, we formulate a multihybrid policy decision problem (MPDP) on the primary-backup fault tolerance model and theoretically show its NP-completeness. The main contribution is to prove that our multihybrid job scheduling (MJS) scheme confidently guarantees the fault-tolerant performance by adaptively combining jobs and resources with different rescheduling policies in MPDP. Furthermore, we demonstrate that the proposed MJS scheme outperforms the five rescheduling heuristics in solution quality, searching adaptability and time efficiency by conducting a set of extensive simulations under various scheduling conditions.     

面向效用最大化的数据中心动态资源分配

传统数据中心的负载均衡只追求资源利用的最大化,而忽略了不同类型任务对完成时间的需求是不同的,使得系统总体服务质量无法达到最佳.针对不同任务的需求差异,引入时间效用函数以表征不同类型任务的完成时间与服务质量的关系,并形式化定义了面向效用最大化的动态资源分配问题.由于该问题是NP难的,设计了一个利用任务优先关系的调度机制,其主要思想为将原问题分解为若干同构的小规模子问题,并利用任务间的优先关系,决策为哪个任务优先分配资源.通过理论分析可以证明,当并行的任务的完成时间满足一定的序列性质时,该算法可以取得全局最优解.实验显示,该算法产生的收益是常用的先进先出公平调度机制产生收益1.5倍到2倍,并且比当前最新的算法2DFQ(多租户二维公平排队算法)的总效用高约17％.     

Minimizing makespan subject to minimum flowtime on two identical parallel machines

We consider the problem of scheduling jobs on two parallel identical machines where an optimal schedule is defined as one that gives the smallest makespan (the completion time of the last job) among the set of schedules with optimal total flowtime (the sum of the completion times of all jobs). We propose an algorithm to determine optimal schedules for the problem, and describe a modified multifit algorithm to find an approximate solution to the problem in polynomial computational time. Results of a computational study to compare the performance of the proposed algorithms with a known heuristic shows that the proposed heuristic and optimization algorithms are quite effective and efficient in solving the problem.Scope and purposeMultiple objective optimization problems are quite common in practice. However, while solving scheduling problems, optimization algorithms often consider only a single objective function. Consideration of multiple objectives makes even the simplest multi-machine scheduling problems NP-hard. Therefore, enumerative optimization techniques and heuristic solution procedures are required to solve multi-objective scheduling problems. This paper illustrates the development of an optimization algorithm and polynomially bounded heuristic solution procedures for the scheduling jobs on two identical parallel machines to hierarchically minimize the makespan subject to the optimality of the total flowtime.     

Self-adjustment of resource allocation for grid applications

Grids involve coordinated resource sharing and problem solving in heterogeneous dynamic environments to meet the needs of a generation of researchers requiring large amounts of bandwidth and more powerful computational resources. The lack of resource ownership by grid schedulers and fluctuations in resource availability require mechanisms which will enable grids to adjust themselves to cope with fluctuations. The lack of a central controller implies a need for self-adaptation. Grids must thus be enabled with the ability to discover, monitor and manage the use of resources so they can operate autonomously. Two different approaches have been conceived to match the resource demands of grid applications to resource availability: Dynamic scheduling and adaptive scheduling. However, these two approaches fail to address at least one of three important issues: (i) the production of feasible schedules in a reasonable amount of time in relation to that required for the execution of an application; (ii) the impact of network link availability on the execution time of an application; and (iii) the necessity of migrating codes to decrease the execution time of an application. To overcome these challenges, this paper proposes a procedure for enabling grid applications, composed of various dependent tasks, to deal with the availability of hosts and links bandwidth. This procedure involves task scheduling, resource monitoring and task migration, with the goal of decreasing the execution time of grid applications. The procedure differs from other approaches in the literature because it constantly considers changes in resource availability, especially network bandwidth availability, to trigger task migration. The proposed procedure is illustrated via simulation using various scenarios involving fluctuation of resource availability. An additional contribution of this paper is the introduction of a set of schedulers offering solutions which differ in terms of both schedule length and computational complexity. The distinguishing aspect of this set of schedulers is the consideration of time requirements in the production of feasible schedules. Performance is then evaluated considering various network topologies and task dependencies.     

Task scheduling using NSGA II with fuzzy adaptive operators for computational grids

Scheduling algorithms have an essential role in computational grids for managing jobs, and assigning them to appropriate resources. An efficient task scheduling algorithm can achieve minimum execution time and maximum resource utilization by providing the load balance between resources in the grid. The superiority of genetic algorithm in the scheduling of tasks has been proven in the literature. In this paper, we improve the famous multi-objective genetic algorithm known as NSGA-II using fuzzy operators to improve quality and performance of task scheduling in the market-based grid environment. Load balancing, Makespan and Price are three important objectives for multi-objective optimization in the task scheduling problem in the grid. Grid users do not attend load balancing in making decision, so it is desirable that all solutions have good load balancing. Thus to decrease computation and ease decision making through the users, we should consider and improve the load balancing problem in the task scheduling indirectly using the fuzzy system without implementing the third objective function. We have used fuzzy operators for this purpose and more quality and variety in Pareto-optimal solutions. Three functions are defined to generate inputs for fuzzy systems. Variance of costs, variance of frequency of involved resources in scheduling and variance of genes values are used to determine probabilities of crossover and mutation intelligently. Variance of frequency of involved resources with cooperation of Makespan objective satisfies load balancing objective indirectly. Variance of genes values and variance of costs are used in the mutation fuzzy system to improve diversity and quality of Pareto optimal front. Our method conducts the algorithm towards best and most appropriate solutions with load balancing in less iteration. The obtained results have proved that our innovative algorithm converges to Pareto-optimal solutions faster and with more quality.     

Minimizing resource consumption on uniform parallel machines with a bound on makespan

With the crucial issue of environmental protection, managing natural resources efficiently and/or reducing the amount of carbon emissions have become more important than ever. In this paper, we introduce a uniform parallel machine scheduling problem where the objective is to minimize resource consumption given that the maximum completion time does not exceed a certain level. We show that the problem is strongly NP-hard. A tight lower bound and a particle swarm optimization algorithm are then developed. Finally, some computational results are provided.     

基于任务-资源分配图优化选取的网格依赖任务调度

任务调度是网格应用系统获得高性能的关键.网格计算中一个大型的应用程序往往被分解为具有依赖关系的多个任务.在资源个体差异较大、广域互连的网格环境下任务间的依赖关系对传统的调度策略提出了新的挑战.任务调度的主要工作是为任务分配资源以及确定任务的执行次序,将依赖任务的可能的资源分配方案表示为任务-资源分配图（T-RAG）,在该图的基础上提出了基于T-RAG优化选取的依赖任务调度模型,将依赖任务调度问题转化为图的优化选取问题,解析最优任务-资源分配图可以同时确定资源分配方案和任务的执行次序即为最优调度方案.最后,实现了基于该模型的任务调度算法,该算法与ILHA算法的对比分析表明,在资源差异较大及任务间存在大量数据传输的情况下所提出的算法更优.     

An Efficient Hybrid Algorithm for a Bi-objectives Hybrid Flow Shop Scheduling

This paper considers the problem of scheduling n independent jobs in g-stage hybrid flow shop environment. To address the realistic assumptions of the proposed problem, two additional traits were added to the scheduling problem. These include setup times, and the consideration of maximum completion time together with total tardiness as objective function. The problem is to determine a schedule that minimizes a convex combination of objectives. A procedure based on hybrid the simulated annealing; genetic algorithm and local search so-called HSA-GA-LS are proposed to handle this problem approximately. The performance of the proposed algorithm is compared with a genetic algorithm proposed in the literature on a set of test problems. Several performance measures are applied to evaluate the effectiveness and efficiency of the proposed algorithm in finding a good quality schedule. From the results obtained, it can be seen that the proposed method is efficient and effective.     

基于网格资源超图模型的可信任务调度

网格任务调度是当前重要的研究领域。网格环境具有动态性、异构性等特点,网格资源的处理性能和稳定性都是影响到任务调度顺利完成的重要因素。为了获得更小的任务完成时间,该文根据网格环境的特点,建立了网格资源超图模型,在该模型基础上对资源按性能进行聚类,并提出一种可信任务调度算法GRHTS。模拟实验结果表明,该基于网格资源超图模型的可信任务调度算法优于同类算法,是一种有效的网格任务调度算法。     

一种基于预测的资源匹配算法

网格任务调度过程中的资源匹配是根据任务要求从网格资源信息服务（GRIS）中查找出合适资源的过程。GRIS中记录的往往是资源的静态信息，由于本地负载的动态变化使得基于资源静态信息来确定的候选资源集中一些资源并不能满足任务的QoS需求。基于相关资源动态信息预测资源未来状态，给出了网格任务平均完成时间及完成时间的分布函数，并根据任务QoS需求，兼顾考虑资源当前及未来状态，提出了一种资源匹配模型与匹配算法。通过实验表明，该算法能有效减少候选资源数目，从而降低调度时间复杂度。     

Multiobjective model for solving resource‐leveling problem with discounted cash flows

Nowadays, executers are struggling to improve the economic and scheduling situation of projects. Construction scheduling techniques often produce schedules that cause undesirable resource fluctuations that are inefficient and costly to implement on site. The objective of the resource‐leveling problem is to reduce resource fluctuation related costs (hiring and firing costs) without violating the project deadline. In this article, minimizing the discounted costs of resource fluctuations and minimizing the project makespan are considered in a multiobjective model. The problem is formulated as an integer nonlinear programming model, and since the optimization problem is NP‐hard, we propose multiobjective evolutionary algorithms, namely nondominated sorting genetic algorithm‐II (NSGA‐II), strength Pareto evolutionary algorithm‐II (SPEA‐II), and multiobjective particle swarm optimization (MOPSO) to solve our suggested model. To evaluate the performance of the algorithms, experimental performance analysis on various instances is presented. Furthermore, in order to study the performance of these algorithms, three criteria are proposed and compared with each other to demonstrate the strengths of each applied algorithm. To validate the results obtained for the suggested model, we compared the results of the first objective function with a well‐tuned genetic algorithm and differential algorithm, and we also compared the makespan results with one of the popular algorithms for the resource constraints project scheduling problem. Finally, we can observe that the NSGA‐II algorithm presents better solutions than the other two algorithms on average.     

A basis for the design of a multiattribute heuristic for single resource project scheduling

Two important characteristics of a project network are the network's topology and the amount of resources available. Most published project scheduling procedures take one or both of these two characteristics into account. Project scheduling procedures that are robust over variations of network characteristics are desirable. The degree of robustness is generally gauged by one or more measures of performance.

The objective of this paper is to compare a set of priority rules that are useful for a single resource project scheduling problem. The set of networks suggested by Patterson (1973) is used along with the set of performance measures proposed by Khattab and Choobineh 1991. The result of this comparison allows one to design a multiattribute heuristic for a single resource project scheduling problem.     

Hadoop下资源匹配最大集作业调度算法

针对目前层级队列作业调度算法中资源占比高的作业执行效率低的问题,提出一种资源匹配最大集算法。该算法分析作业特征,引入完成度、等待时间、优先级、重调度次数为紧迫值因子,优先考虑资源占比高或等待时间长的作业,以改善作业公平性;采用双队列结构在可用资源总量内优先选择高紧迫值作业,在不同资源占比作业集比较中选择作业数最大集,以实现调度平衡。在与最大最小公平(Max-min fairness)算法的实例对比中发现,该算法可降低作业集平均等待时间、提高资源利用率。实验对比结果表明,该算法可将不同资源占比的单一类型作业集执行时间缩短18.73%,其中资源占比高的作业执行时间缩短27.26%;在混合型作业集中对应的执行时间可分别缩短22.36%与30.28%。所提算法能有效减少资源占比高作业的等待,提高作业整体执行效率。     

云平台下基于截止时间的自适应调度策略

针对在共享集群中进行任务调度时,无法兼顾任务的响应速度与任务完成时间的问题,提出一种基于截止时间的自适应调度算法。该算法以用户提交的截止时间为依据,根据任务的执行进度自适应地分配适当的计算资源。不同于传统调度方式里由用户提交固定资源参数,该算法在资源约束的情况下会对优先级高的任务进行抢占式调度以保证服务质量（QoS）,并在抢占过程结束后额外分配资源补偿被抢占的任务。在Spark平台进行的任务调度实验结果显示,与另一种资源协调者（YARN）框架下的调度算法相比,所提算法能严格地控制短任务的响应速度,并使长作业的任务完成时间缩短35%。     

Integrating employee timetabling with scheduling of machines and transporters in a job-shop environment: A mathematical formulation and an Anarchic Society Optimization algorithm

This paper addresses a ternary-integration scheduling problem that incorporates employee timetabling into the scheduling of machines and transporters in a job-shop environment with a finite number of heterogeneous transporters where the objective is to minimize the completion time of all jobs. The problem is first formulated as a mixed-integer linear programming model. Then, an Anarchic Society Optimization (ASO) algorithm is developed to solve large-sized instances of the problem. The formulation is used to solve small-sized instances and to evaluate the quality of the solutions obtained for instances with larger sizes. A comprehensive numerical study is carried out to assess the performance of the proposed ASO algorithm. The algorithm is compared with three alternative metaheuristic algorithms. It is also compared with several algorithms developed in the literature for the integrated scheduling of machines and transporters. Moreover, the algorithms are tested on a set of adapted benchmark instances for an integrated problem of machine scheduling and employee timetabling. The numerical analysis suggests that the ASO algorithm is both effective and efficient in solving large-sized instances of the proposed integrated job-shop scheduling problem.