论文标题

流体网络的流量方程

Traffic Equations for Fluid Networks with Overflows

论文作者

Fleuren, S., Jansen, H. M., Lefeber, E., Nazarathy, Y.

论文摘要

许多现实生活排队网络都有有限的缓冲区,并具有溢出。为了了解此类网络的行为,我们考虑了流量方程,这些方程将概括了经典开放排队网络的流量方程,其中一些节点可能会超载。我们提出了一种新颖的,有效的算法,用于求解溢流网络方程,并具有足够的解决方案和独特性的条件。我们的分析还加强了经典开放排队网络的交通方程式。

Many real life queueing networks have finite buffers with overflows. To understand the behavior of such networks, we consider traffic equations that generalize the traffic equations of classic open queueing networks where some nodes are potentially overloaded. We present a novel, efficient algorithm for solving the equations for overflow networks together with a sufficient condition for existence and uniqueness of solutions. Our analysis also sharpens results of traffic equations for classic open queueing networks.

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