Asymptotic Estimates for Blocking Probabilities in a Large Multi-Rate Loss Network
Asymptotic Estimates for Blocking Probabilities in a Large Multi-Rate Loss Network
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大型多速率丢失网络中阻塞概率的渐近估计
DOI：
10.2307/1428086
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发表时间：
1997
影响因子：
1.2
通讯作者：
Ravi R. Mazumdar
中科院分区：
文献类型：
--
作者：
Alain Simonian;J. Roberts;François Théberge;Ravi R. Mazumdar
本文给出了大型多速率电路交换网络中给定路由的呼叫阻塞概率的渐近估计。这些估计集中于低负载和临界负载条件，本质上是通过使用应用于占用链路数量分布的概率变化技术来得出的。这种对阻塞概率的估计也给出了适用于两种负载状态的统一表达式。通过简单的例子对这个统一的表达式进行了数值验证。
In this paper, asymptotic estimates for the blocking probability of a call pertaining to a given route in a large multi-rate circuit-switched network are given. Concentrating on low load and critical load conditions, these estimates are essentially derived by using probability change techniques applied to the distribution of the number of occupied links. Such estimates for blocking probabilities are also given a uniform expression applicable to both load regimes. This uniform expression is numerically validated via simple examples.