A convexity result for single-server exponential loss systems with non-stationary arrivals

A convexity result for single-server exponential loss systems with non-stationary arrivals
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非平稳到达的单服务器指数损失系统的凸性结果

DOI:
10.2307/3214250
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发表时间:
1988
影响因子:
1
通讯作者:
L. Green
L. Green
中科院分区:
数学4区
文献类型:
--
作者:
A. Svoronos;L. Green

文献摘要

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我们考虑具有指数服务时间和非平稳泊松输入的单服务台损失系统。证明了在到达率为周期函数的情况下,流失顾客比例按幅度凸增。
We consider single-server loss systems with exponential service times and non-stationary Poisson input. We prove that if the arrival rate is given by a periodic function, the proportion of lost customers is convex increasing in the amplitude.