| 推广的多级适应性休假M~x/G/1排队系统 |
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| 引用本文： | 马永梅,陈本晶.推广的多级适应性休假M~x/G/1排队系统[J].大学数学,2007,23(5):97-104. |
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| 作者姓名： | 马永梅 陈本晶 |
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| 作者单位： | 1. 巢湖学院,数学系,安徽,巢湖,238000
2. 揭阳职业技术学院,广东,揭阳,522000 |
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| 摘 要： | 用LS变换和L变换研究了推广的多级适应性休假Mx/G/1排队系统中队长的瞬态分布,并且进一步用LS变换的终值定理和洛比达法则得到了队长平稳分布的概率母函数,这个结果可以应用到很多模型.
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| 关 键 词： | 多级适应性休假 队长 瞬态分布 稳态分布 母函数 |
| 文章编号： | 1672-1454（2007）05-0097-08 |
| 修稿时间： | 2005-08-22 |
The Generalized Mx/G/1 Queue System with Multiple Adaptive Vacations |
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| MA Yong-mei,CHEN Ben-jing.The Generalized Mx/G/1 Queue System with Multiple Adaptive Vacations[J].College Mathematics,2007,23(5):97-104. |
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| Authors: | MA Yong-mei CHEN Ben-jing |
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| Institution: | 1. Department of Mathematics , Chaohu College, Chaohu 238000, China; 2. Jieyang Vacational and Technical College, Jieyang 522000, China |
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| Abstract: | By using Laplace-Stieltjes and Laplace transitions, we consider the Generalized Mx/G/1 Queue System with Multiple Adaptive Vacations and obtain the Transient distribution of queue length.Furthermore,by using Limit Theorem of Laplace-Stieltjes and Hospital's norm we also get probability generating function of queue equilibrium distribution,and these results can be used in many models. |
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| Keywords: | the multiple adaptive vacations queue length transient distribution equilibrium distribution generating function |
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