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arXiv cs/0601016cs.NI
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互联网中流服务和TCP数据传输的集成

Integration of streaming services and TCP data transmission in the Internet

Nelson Antunes, Christine Fricker, Fabrice Guillemin, Philippe Robert

摘要:

在本文中,我们研究的弹性和流业务在同一链路上的IP网络的整合。我们特别感兴趣的是通过数据传输获得的平均比特率的计算。为此目的,我们认为由流传输业务提供的比特率是低的,具有小参数\eps \ll 1的数量级,并且与辅助平稳马尔可夫过程(X(t))相关。假设数据传输是指数分布的,根据泊松过程到达,并根据理想的处理器共享纪律共享可用带宽,我们推导出的平均比特率的数据传输作为一个幂级数展开\eps。由于该系统可以用一个服务率随时间变化的M/M/1排队系统来描述,而服务率随时间变化的M/M/1排队系统依赖于参数\eps和过程(X(t)),因此关键问题是计算在忙期内该排队系统在占用过程下所扫描的区域的扩展。我们得到封闭的公式的幂级数展开在\eps的平均比特率,这使我们能够验证的有效性,所谓的减少服务率在一阶。二阶项产生更多的洞察流的可变性的负面影响。

英文摘要:

We study in this paper the integration of elastic and streaming traffic on a same link in an IP network. We are specifically interested in the computation of the mean bit rate obtained by a data transfer. For this purpose, we consider that the bit rate offered by streaming traffic is low, of the order of magnitude of a small parameter \eps \ll 1 and related to an auxiliary stationary Markovian process (X(t)). Under the assumption that data transfers are exponentially distributed, arrive according to a Poisson process, and share the available bandwidth according to the ideal processor sharing discipline, we derive the mean bit rate of a data transfer as a power series expansion in \eps. Since the system can be described by means of an M/M/1 queue with a time-varying server rate, which depends upon the parameter \eps and process (X(t)), the key issue is to compute an expansion of the area swept under the occupation process of this queue in a busy period. We obtain closed formulas for the power series expansion in \eps of the mean bit rate, which allow us to verify the validity of the so-called reduced service rate at the first order. The second order term yields more insight into the negative impact of the variability of streaming flows.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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