A sufficient condition for stochastic stability of an Internet congestion control model in terms of fluid model stability
A sufficient condition for stochastic stability of an Internet congestion control model in terms of fluid model stability
复制标题
流体模型稳定性方面互联网拥塞控制模型随机稳定性的充分条件
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
N. H. Lee
中科院分区：
文献类型：
--
作者：
N. H. Lee
我们考虑由 Massoulie 和 Roberts 引入的互联网拥塞控制模型，作为具有资源共享和非线头服务规则的随机网络的示例。为了描述该系统的演变，我们使用随机过程来跟踪为仍在系统中的每个文档提供的服务量以及自上次到达每个路线以来的时间。这是一个具有可数基态空间的局部紧凑的 Borel 正确过程。结果表明，在温和的假设下，残余文档大小的相关流体模型的稳定性足以保证 Borel 右过程的稳定性（正 Harris 递推）
We consider a model of Internet congestion control, introduced by Massoulie and Roberts, as an example of a stochastic network with resource sharing and a non-head-of -the-line service discipline. To describe the evolution of this system, we use a stochastic process that tracks the amount of service that has been given to each document that is still in the system and the time since the last arrival to each route. This is a Borel right process with a locally compact with countable base state space. It is shown that under mild assumptions, stability of a related fluid model for residual document sizes is sufficient for stability (positive Harris recurrence) of the Borel right process