Stochastic Network Processes

本文研究的是如何描述随机网络中离散单元的运动。有一小类排队网络是目前可以解析求解的。它们是马尔可夫方程，有乘积形式的解。这类的扩展将考虑“部分平衡”网络，它允许节点和路由之间的依赖（所谓的智能网络）。本文的研究结果对排队网络的理论研究和实际应用具有重要意义。

This research is concerned with describing the movement of discrete units in stochastic networks. There is a small class of queueing networks which can presently be solved analytically. These are Markovian and have product form solutions. Extension to this class will be made by considering "partially balanced" networks, which allow for dependencies among nodes and routes (so called intelligent networks). The results of this research will be very important both for the theory and the applications of queueing networks.