Invariant states and rates of convergence for a critical fluid model of a processor sharing queue
Invariant states and rates of convergence for a critical fluid model of a processor sharing queue
复制标题
处理器共享队列的临界流体模型的不变状态和收敛速率
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Ruth J. Williams
中科院分区：
文献类型：
--
作者：
Amber L. Puha;Ruth J. Williams
本文对重负载处理机共享队列的流体模型进行了渐近分析。具体来说，我们考虑的行为的解决方案的临界流体模型的时间approaches1。本文的主要定理提供了流体模型解收敛到不变状态的充分条件，并且在稍微更严格的假设下，提供了收敛速度。这些结果被用于Gromoll的相关工作中，用于建立一个处理器共享队列的大流量扩散近似。
This paper contains an asymptotic analysis of a fluid model for a heavily loaded processor sharing queue. Specifically, we consider the behavior of solutions of critical fluid models as time approaches1. The main theorems of the paper provide sufficient conditions f or a fluid model solution to converge to an invariant state and, under slightly more restrictive assumptions, provide a rate of convergence. These results are used in a related work by Gromoll for establishing a heavy traffic diffusion approximation for a processor sharing queue.