| 带启动时间的多级适应性休假连续时间排队的PH封闭性 |
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| 引用本文： | 高娃,田乃硕,韦才敏.带启动时间的多级适应性休假连续时间排队的PH封闭性[J].黑龙江大学自然科学学报,2005,22(4):521-524. |
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| 作者姓名： | 高娃 田乃硕 韦才敏 |
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| 作者单位： | 内蒙古财经学院,基础部,内蒙古,呼和浩特,010051;燕山大学,理学院,河北,秦皇岛,066004 |
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| 基金项目： | 国家自然科学资金资助项目(10271102) |
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| 摘 要： | 在文献1]基础上,研究了带启动时间的多级适应性休假连续时间的到达顾客服从 POISSON分布、顾客服务时间服从一般分布的单个服务台排队的PH的封闭性．分别给出了附加队长和附加延迟时间LST的PH表示,并用概率母函数来分析系统在稳态条件下的全假期、闲期和在线期,同时给出它们的母函数和均值．
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| 关 键 词： | 休假排队 启动时间 PH表示 全假期 闲期 在线期 |
| 文章编号： | 1001-7011(2005)04-0521-04 |
| 修稿时间： | 2003年1月16日 |
PH closure properties of continuous time queue with multiple adaptive vacation and Set- Up time |
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| GAO Wa,TIAN Nai-Shuo,WEI Cai-min.PH closure properties of continuous time queue with multiple adaptive vacation and Set- Up time[J].Journal of Natural Science of Heilongjiang University,2005,22(4):521-524. |
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| Authors: | GAO Wa TIAN Nai-Shuo WEI Cai-min |
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| Institution: | GAO Wa,TIAN Nai - shuo,WEI Cai - min Department of Basic Courses,Inner Mongolia Finance and Economics College,Huhhot 010051,China School of Science,Yanshan University,Qinhuangdao 066004,China |
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| Abstract: | Based on the literature 1] , PH closure properties of continuous time queueing model with multiple a-daptive vacation and set - up time, ia which the arrival process of customer is Poisson distribution and the service time of customer obeys general distribution with a server, are considered. PH representations of additional lenghth and LST of additional delayed - time of steady state system are derived. The whole vacation period, idle period and on - line period of system are analysed, and their generating functions and means are given. |
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| Keywords: | vacation queue Set - Up time PH representation whole vacation period idle period on -ine period |
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