| 具有不同到达率且带有启动时间的单重休假M~X/G/1排队 |
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| 引用本文： | 王莉. 具有不同到达率且带有启动时间的单重休假M~X/G/1排队[J]. 徐州师范大学学报(自然科学版), 2013, 0(2): 33-37 |
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| 作者姓名： | 王莉 |
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| 作者单位： | 宿迁学院教师教育系,江苏宿迁223800 |
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| 摘 要： | 研究具有不同到达率且带有启动时间的单重休假MX/G/1排队模型,给出稳态队长的母函数、等待时间的LST(拉普拉斯-斯蒂尔切斯变换)及其随机分解结果,并推导出忙期、忙循环及在线期均值.
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| 关 键 词： | 单重休假 嵌入马尔可夫链 随机分解 到达率 启动时间 忙期 忙循环 |
The M^X/G/1 queue with different arrival rates,single vacation and set-up time |
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| Wang Li. The M^X/G/1 queue with different arrival rates,single vacation and set-up time[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2013, 0(2): 33-37 |
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| Authors: | Wang Li |
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| Affiliation: | Wang Li (Department of Teachers Education, Suqian College, Suqian 223800, Jiangsu, China) |
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| Abstract: | In this paper, a continuous time queue M^X/G/1 with different arrival rates, single vacation and set-up time is considered. The generating function of the steady state queue length, the Laplace-Stieltjes transform（LST） of the waiting time distribution and stochastic decomposition are derived. Furthermore, the mean formulas of the busy period, the whole vacation and on-line period are obtained. |
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| Keywords: | single vacation imbedded Markov chain stochastic decomposition arrival rate set-up time busy period busy cycle |
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