| 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.[点击复制] |
| Yu Zheng,Liu Zaiming,Hou Zhenting.A Queueing Model with Mutually Independent Service TimesWhose Distributions Are Not Neccessarily Identical[J].Journal of National University of Defense Technology,2002,24(4):80-85[点击复制] |
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| 一个具有相互独立、不同分布服务时间序列的排队模型 |
| 俞政, 刘再明, 侯振挺 |
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(中南大学 铁道学院科研所，湖南 长沙 410075)
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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。 |
| 关键词: 排队系统 瞬时状态 队长分布 |
| DOI： |
| 投稿日期：2002-03-11 |
| 基金项目:国家自然科学基金资助项目(10171009) |
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| A Queueing Model with Mutually Independent Service TimesWhose Distributions Are Not Neccessarily Identical |
| Yu Zheng, Liu Zaiming, Hou Zhenting |
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(School of Mathematical Science and Computaional Technology，Central South University, Railway Campus， Changsha 410075，China)
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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. |
| Keywords: queueing system transient state distribution of the queue length. |
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