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Stability Analysis of XCP (eXplicit Control Protocol) with Heterogeneous Flows

机译:具有异质流的XCP(紧急控制协议)的稳定性分析

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摘要

In this paper, we analyze the stability of XCP (eXplicit Control Protocol) in a network with heterogeneous XCP flows (i.e., XCP flows with different propagation delays). Specifically, we model a network with heterogeneous XCP flows using fluid-flow approximation. We then derive the conditions that XCP control parameters should satisfy for stable XCP operation. Furthermore, through several numerical examples and simulation results, we quantitatively investigate effect of system parameters and XCP control parameters on stability of the XCP protocol. Our findings include: (1) when XCP flows are heterogeneous, XCP operates more stably than the case when XCP flows are homogeneous, (2) conversely, when variation in propagation delays of XCP flows is large, operation of XCP becomes unstable, and (3) the output link bandwidth of an XCP router is independent of stability of the XCP protocol.
机译:在本文中,我们分析了具有异构XCP流(即具有不同传播延迟的XCP流)的网络中XCP(eXplicit控制协议)的稳定性。具体来说,我们使用流体流逼近为具有异质XCP流的网络建模。然后,我们得出XCP控制参数对于稳定XCP操作应满足的条件。此外,通过几个数值示例和仿真结果,我们定量研究了系统参数和XCP控制参数对XCP协议稳定性的影响。我们的发现包括:(1)当XCP流是异构的时,XCP的运行要比XCP流是同质的情况下更稳定;(2)相反,当XCP流的传播延迟变化​​较大时,XCP的运行将变得不稳定,并且( 3)XCP路由器的输出链路带宽与XCP协议的稳定性无关。

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