| 偏微分方程形式的M/M/1排队模型的主算子的谱 |
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| 引用本文： | 古则力努尔·赛提尼牙孜,艾尼·吾甫尔. 偏微分方程形式的M/M/1排队模型的主算子的谱[J]. 数学的实践与认识, 2017, 0(15): 293-301 |
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| 作者姓名： | 古则力努尔·赛提尼牙孜 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,新疆 乌鲁木齐,830046 |
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| 基金项目： | 国家自然科学基金(11371303) |
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| 摘 要： | 研究偏微分方程形式的M/M/1排队模型的主算子在左半复平面中的谱,证明当顾客的到达率λ和服务员的服务率μ满足λ<μ,λ~2+μ~2≠3λμ时,μ不是A+U+E的特征值.
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| 关 键 词： | M/M/1排队模型 C_0一半群 特征值 |
On the Spectrum of the Operator Corresponding to the M/M/1 Queueing Model which is Described by Infinitely Many Partial Differential Equations |
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| SETNIYAZ Güzelnur,GUPUR Geni. On the Spectrum of the Operator Corresponding to the M/M/1 Queueing Model which is Described by Infinitely Many Partial Differential Equations[J]. Mathematics in Practice and Theory, 2017, 0(15): 293-301 |
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| Authors: | SETNIYAZ Güzelnur GUPUR Geni |
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| Abstract: | We study spectrum of the operator which corresponds to the M/M/1 queueing model that is described by infinitely many partial differential equations and prove that if the arrival rate of customers λ and service rate of the server μ satisfy λ ＜ μ,λ2 + μ2 ≠ 3λμ,then-μ is not its eigenvalue. |
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| Keywords: | M/M/1 queueing model Co-semigroup eigenvalue |
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