具有反馈、批量到达和服务的离散时间开放排队网络

Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems Pub Date : 1900-01-01 DOI:10.1109/MASCOT.1994.284384

C. Vu Duy

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引用次数: 0

摘要

研究了一个有N个节点的开放排队网络系统，每个节点上都有Geo(A/sub i/)输入和Geo(S/sub i/)服务。Geo(A/下标i/)和Geo(S/下标i/)表示复合几何。首先，作者对孤立排队系统Geo(A/sub i/)/Geo(S/sub i/)/1最终独立离开每个节点的情况感兴趣。然后寻找一种产品形态解兼容的网络配置。最后，证明了N个节点的开放马尔可夫排队网络具有积形式解的充分必要条件。得到了一定数量的具有积形式解的开放马尔可夫排队网络。

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Discrete time open queueing networks with feedback, bulk arrivals and services

An open queueing network system of N nodes with Geo(A/sub i/) input and Geo(S/sub i/) service at every node is studied. Geo(A/sub i/) and Geo(S/sub i/) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(A/sub i/)/Geo(S/sub i/)/1. Then the author looks for a configuration of the network which is product form solution compatible. Lastly, the necessary and sufficient condition for an open Markovian queueing network of N nodes to have a solution of product form is proved. A certain number of open Markovian queueing networks which have a solution of product form are found.<>

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Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems

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