| M/G/1重试排队系统的渐近稳定性 |
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| 引用本文： | 高超,朱广田.M/G/1重试排队系统的渐近稳定性[J].数学的实践与认识,2014(17). |
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| 作者姓名： | 高超 朱广田 |
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| 作者单位： | 北京信息控制研究所;大连工业大学信息科学与工程学院;中国科学院数学与系统科学研究院; |
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| 摘 要： | 用算子半群理论研究了带有重试排队的M/G/1系统.通过解算子方程和预解方程,证明了0是系统算子的本征值,且为虚轴上唯一的谱点.从而得出了当时间趋于无穷时系统时间依赖解收敛于稳态解的结论.
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| 关 键 词： | M/G/1重试排队系统 虚轴 谱分布 渐近稳定性 |
Asymptotic Stability of M/G/1 Retrial System |
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| Abstract: | In this paper,the M/G/1 retrial system is studied by Semigrow theory of operator.By solving operator equation and resolvent equation,it is verified that 0 is an eigenvalue of the system operator and is the only spectral point of the system operator.As a result,the time-dependent solution converges to the steady-state solution as time approaches infinity. |
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| Keywords: | M/G/1 retrial system imaginary axis spectral distribution asymptotic stability |
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