| 单重休假闸门服务的Geom/G/1离散时间排队系统 |
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| 引用本文： | 马占友,田乃硕.单重休假闸门服务的Geom/G/1离散时间排队系统[J].运筹学学报,2007,11(4):70-76. |
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| 作者姓名： | 马占友 田乃硕 |
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| 作者单位： | 燕山大学理学院,秦皇岛,066004 |
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| 摘 要： | 文章研究了单重休假的Geom/G/1闸门服务系统,推导出稳态下系统队长的母函数,FCFS规则下的等待时间的母函数,使用离散时间队长和剩余工作量的分解性质,求出剩余工作量的母函数,最后给出服务周期的性能指标的母函数,及系统处在各种状态的概率.
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| 关 键 词： | 运筹学 离散时间排队 闸门服务 再生循环法 分解性质 服务周期 |
| 收稿时间： | 2005-12-15 |
| 修稿时间： | 2005年12月15 |
Discrete-time Geom/G/1 Queueing System with Single Vacation and Gated Service Discipline |
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| Ma Zhanyou,Tian Naishuo.Discrete-time Geom/G/1 Queueing System with Single Vacation and Gated Service Discipline[J].OR Transactions,2007,11(4):70-76. |
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| Authors: | Ma Zhanyou Tian Naishuo |
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| Abstract: | This paper study a single vacation Geom/G/1 system with Gated service. The probability generating function(PGF) of steady-state queue length and waiting time in FCFS system are studied. Then we derive the PGF of the unfinished work from the decomposition properties in discrete-time systems. Finally we give the analysis of other measure performance and the probability of the various states. |
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| Keywords: | Operations research discrete-time queue gated service regeneration cycle approach decomposition properties service cycle |
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