| 附有选择性服务与无等待能力的M/G/1排队系统的系统主算子的性质 |
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| 引用本文： | 崔秀男,李伟源,张玉峰.附有选择性服务与无等待能力的M/G/1排队系统的系统主算子的性质[J].数学的实践与认识,2014(12). |
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| 作者姓名： | 崔秀男 李伟源 张玉峰 |
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| 作者单位： | 延边大学师范分院;延边大学理学院数学系; |
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| 摘 要： | 研究了附有选择性服务与无等待能力的M/G/1排队系统.运用C_0半群理论,通过服务率均值的观念,对系统主算子的谱上界进行了估值,并得到谱上界即为各服务率均值的最小者的相反数.然后运用了共尾的概念及相关的理论,得到了系统主算子的谱上界与系统主算子产生的半群的增长界相等,从而得到其增长界也是各服务率均值的最小者的相反数.
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| 关 键 词： | M/G/1排队系统 C_0半群理论 系统主算子 谱上界 共尾 增长界 |
Properties of the Main Operator of the M/G/1 Queueing System with Additional Optional Service and no Waiting Capacity |
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| Abstract: | We investigate the M/G/1 queueing system with additional optional service and no waiting capacity.Using Co-semigroup theory and the concept of the mean of service rate functions,we estimate the upper spectral bound of the main operator and obtain that its value is the opposite number of the minimum of the mean of service rate functions.Then we show the growth bound of the main operator share the same value with its upper spectral bound by using the concept of cofinal and relative theory. |
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| Keywords: | M/G/lqueueing system Co-semigroup theory main operator upper spectral bound cofinal growth bound |
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