论文标题
杰克逊网络在随机环境中：强近似
Jackson network in a random environment: strong approximation
论文作者
论文摘要
我们考虑一个具有再生输入流的杰克逊网络，其中每个服务器都会受到随机环境的影响，从而影响分解和维修。它们是根据I.I.D的两个独立序列发生的。随机变量。我们通过反射的布朗运动在正骨上的反射运动来建立关于队列长度向量的强近似的定理。
We consider a Jackson network with regenerative input flows in which every server is subject to a random environment influence generating breakdowns and repairs. They occur in accordance with two independent sequences of i.i.d. random variables. We establish a theorem on the strong approximation of the vector of queue lengths by a reflected Brownian motion in positive orthant.
