| 服务中断的M/M/1重试排队模型的稳态解 |
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| 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 |
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| 作者姓名： | 郑丽琴 艾尼·吾甫尔 |
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| 作者单位： | 新疆大学 数学与系统科学学院,乌鲁木齐,830046 |
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| 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.
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| 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 |
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| 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 |
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| Authors: | ZHENG Liqin Geni Gupur |
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| Affiliation: | ZHENG Liqin, Geni Gupur College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China |
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| 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. |
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| Keywords: | the M/M/1 retrial queueing model with server breakdowns eigenvalue steady-state solution |
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