On the effect of finite buffer truncation in a two node Jackson network
On the effect of finite buffer truncation in a two node Jackson network
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DOI：
10.1239/jap/1110381381
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发表时间：
2004-06
期刊：
影响因子：
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通讯作者：
Y. Sakuma;M. Miyazawa
中科院分区：
文献类型：
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作者：
Y. Sakuma;M. Miyazawa
我们考虑一个两节点 Jackson 网络，其中节点 1 的缓冲区被截断。我们感兴趣的是当节点 1 的缓冲区大小趋于无穷大时，节点 2 的队列长度分布的尾部衰减率的极限，前提是满足无限网络的稳定性条件。我们证明极限可以存在三种不同的情况。这概括了串联杰克逊网络最近获得的一些结果。还介绍了特殊情况和一些数值示例。
We consider a two-node Jackson network in which the buffer of node 1 is truncated. Our interest is in the limit of the tail decay rate of the queue-length distribution of node 2 when the buffer size of node 1 goes to infinity, provided that the stability condition of the unlimited network is satisfied. We show that there can be three different cases for the limit. This generalizes some recent results obtained for the tandem Jackson network. Special cases and some numerical examples are also presented.