| 一个具有相互独立、不同分布服务时间序列的排队模型 |
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| 引用本文： | 俞政,刘再明,侯振挺. 一个具有相互独立、不同分布服务时间序列的排队模型[J]. 国防科技大学学报, 2002, 24(4): 80-85 |
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| 作者姓名： | 俞政 刘再明 侯振挺 |
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| 作者单位： | 中南大学铁道学院科研所,湖南长沙,410075 |
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| 基金项目： | 国家自然科学基金资助项目 ( 10 1710 0 9) |
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| 摘 要： | 讨论的排队模型 ,放宽了GI/G/1系统中“服务时间独立同分布”的限制 ,只要求各服务时间相互独立 ,因而较GI/G/1排队模型能更合理地拟合实际问题 .在此较宽的条件下 ,利用补充变量的方法 ,求得了该排队系统队长的瞬时分布
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| 关 键 词： | 排队系统 瞬时状态 队长分布 |
| 文章编号： | 1001-2486(2002)04-0080-06 |
| 收稿时间： | 2002-03-11 |
| 修稿时间： | 2002-03-11 |
A Queueing Model with Mutually Independent Service Times Whose Distributions Are Not Neccessarily Identical |
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| Yu Zheng,Liu Zaiming and Hou Zhenting. A Queueing Model with Mutually Independent Service Times Whose Distributions Are Not Neccessarily Identical[J]. Journal of National University of Defense Technology, 2002, 24(4): 80-85 |
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| Authors: | Yu Zheng Liu Zaiming Hou Zhenting |
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| Abstract: | The queueing model discussed in this paper relaxes the requirement that the service time be independent mutually and have identical distribution in GI/G/1 queue. It only requires that the retriction on service process be reduced to the degree that the service time is independent mutually.It follows that this queueing model is more rational than GI/G/1 queue in stimulating real-world systems. Under the relaxed restriction, the transient distribution of the queue length of the queueing system discussed is obtained by means of supplementary variables. |
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| Keywords: | queueing system transient state distribution of the queue length. |
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