| 对M/T-SPH/1排队平稳队长的分析 |
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| 引用本文： | 张宏波,封平华.对M/T-SPH/1排队平稳队长的分析[J].运筹学学报,2011,15(2):110-118. |
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| 作者姓名： | 张宏波 封平华 |
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| 作者单位： | 河南教育学院数学系,郑州,450046 |
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| 基金项目： | 国家自然科学基金，河南省科技厅软科学项目 |
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| 摘 要： | 研究了M/T-SPH/l排队模型,利用拟生灭过程和算子几何解的方法给出了平稳队长分布的概率母函数.在此基础上,指出该分布不是一个离散PH分布,但在一定条件下却是一个几何尾部分布.
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| 关 键 词： | M/T-SPH/1排队 算子几何解 平稳队长 离散PH分布 几何尾部 |
Analysis for Stationary Queue Length of the M/T-SPH/1 Queue |
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| ZHANG Hongbo,FENG Pinghua.Analysis for Stationary Queue Length of the M/T-SPH/1 Queue[J].OR Transactions,2011,15(2):110-118. |
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| Authors: | ZHANG Hongbo FENG Pinghua |
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| Institution: | ZHANG Hongbo FENG Pinghua Department of Mathematics,Henan Institute of Education,Zhengzhou 450046,China |
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| Abstract: | The M/T-SPH/1 queueing model is studied,and the probability generating function for the stationary queue length of the model is given based on the quasi-birth-and -death process and operator-geometric method.Furthermore,distribution of queue length is not a PH distribution,while the tail of the distribution has the characteristic of geometric decay under certain conditions. |
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| Keywords: | M/T-SPH/1 queue operator-geometric solution stationary queue length discrete PH distribution geometric tail |
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