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Multiclass Multiserver Threshold-Based Systems: A Study of Noninstantaneous Server Activation

机译:基于多类多服务器阈值的系统:非即时服务器激活的研究

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In this paper, we consider performance evaluation of a system which shares K servers (or resources) among N heterogeneous classes of workloads, where server allocation and deallocation for class i is dictated by a class specific threshold-based policy with hysteresis control. In particular, the server activation time for class i is noninstantaneous. There are many systems and applications where a multiclass threshold-based queueing system can be of great use. One important utility of using threshold-based approaches is in situations where applications may incur server usage costs. In these cases, one needs to consider not only the performance aspects but also the resulting cost/performance ratio. The motivation for using hysteresis control is to reduce the unnecessary cost of server setup (or activation) and server removal (or deactivation) whenever there are momentary fluctuations in workload. Moreover, servers in such systems and applications are often needed by multiple classes of workloads and, hence, it is desirable to find good approaches to sharing server resources among the different classes of workloads, preferably without statically partitioning the server pool among these classes. An important and distinguishing characteristic of our work is that we consider the modeling and analysis of a multiclass system with noninstantaneous server activation. The main contributions of this work are: 1) in developing an efficient approximation method for solving such models; 2) in verifying the convergence of our iterative method, and 3) in evaluating the resulting accuracy of the technique for computing performance measures of interest, which can subsequently be used in making system design choices
机译:在本文中,我们考虑在N个异构工作负载类别中共享K个服务器(或资源)的系统的性能评估,其中针对类i的服务器分配和释放由具有滞后控制的基于特定类的基于阈值的策略决定。特别是,类i的服务器激活时间不是即时的。在许多系统和应用程序中,基于阈值的多类排队系统可能会很有用。使用基于阈值的方法的一项重要实用工具是在应用程序可能产生服务器使用成本的情况下。在这些情况下,不仅需要考虑性能方面,还需要考虑由此产生的成本/性能比。使用滞后控制的动机是减少工作负载的瞬时波动时服务器设置(或激活)和服务器拆除(或停用)的不必要成本。而且,此类系统和应用程序中的服务器通常是多种工作量类别所需要的,因此,希望找到一种好的方法来在不同类别的工作负荷之间共享服务器资源,最好不要在这些类别之间静态地划分服务器池。我们工作的一个重要区别特征是,我们考虑了具有非瞬时服务器激活功能的多类系统的建模和分析。这项工作的主要贡献是:1)开发一种有效的近似方法来求解这种模型。 2)验证我们的迭代方法的收敛性,以及3)评估用于计算相关性能指标的技术的结果准确性,随后可将其用于选择系统设计

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