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服务中断的M/M/1重试排队模型的稳态解
引用本文:郑丽琴,艾尼·吾甫尔. 服务中断的M/M/1重试排队模型的稳态解[J]. 应用泛函分析学报, 2012, 14(3): 258-264
作者姓名:郑丽琴  艾尼·吾甫尔
作者单位:新疆大学 数学与系统科学学院,乌鲁木齐,830046
摘    要:
研究服务中断的M/M/1重试排队模型的稳态解,证明当α+μ>λ时0不足该模型主算子的特征值.由此推出该模型不存在稳态解.

关 键 词:服务中断的M/M/1重试排队模型  特征值  稳态解

On The Steady-State Solution of the M/M/1 Retrial Queueing Model with Server Breakdowns
ZHENG Liqin , Geni Gupur. On The Steady-State Solution of the M/M/1 Retrial Queueing Model with Server Breakdowns[J]. Acta Analysis Functionalis Applicata, 2012, 14(3): 258-264
Authors:ZHENG Liqin    Geni Gupur
Affiliation:ZHENG Liqin, Geni Gupur College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
Abstract:
We study steady-state solution of the M/M/1 retrial queueing model with server breakdowns and prove that if α+μ〉λ, then 0 is not an eigenvalue of the operator corresponding to the model, which implies that the model does not have steady-state solution.
Keywords:the M/M/1 retrial queueing model with server breakdowns  eigenvalue  steady-state solution
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