| 带负顾客多重工作休假M/M/1排队 |
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| 引用本文： | 朱少平,王珍.带负顾客多重工作休假M/M/1排队[J].井冈山大学学报（自然科学版）,2011(3):18-22. |
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| 作者姓名： | 朱少平 王珍 |
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| 作者单位： | 井冈山大学数理学院; |
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| 摘 要： | 考虑带有负顾客的多重工作休假M/M/1排队模型,画出了状态转移图,给出了无穷小生成元,利用拟生灭过程与矩阵几何解方法,得到了稳态队长和稳态等待时间的分布。另外,还得到了队长和等待时间的随机分解结构及附加队长和附加延迟的分布。
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| 关 键 词： | 负顾客 工作休假 拟生灭过程 矩阵几何解 随机分解 |
M/M/1 QUEUES WITH NEGATIVE-CUSTOMER AND MUTIPLE WORKING VACATIONS |
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| ZHU Shao-ping,WANG Zhen.M/M/1 QUEUES WITH NEGATIVE-CUSTOMER AND MUTIPLE WORKING VACATIONS[J].Journal of Jinggangshan University(Natural Sciences Edition),2011(3):18-22. |
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| Authors: | ZHU Shao-ping WANG Zhen |
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| Institution: | ZHU Shao-ping,WANG Zhen (School of Mathematics and Physics,Jinggangshan University,Ji'an,Jiangxi 343009,China) |
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| Abstract: | Considering an M/M/1 queuing model with negative-customer and multiple working vacations,we draw the state transition diagram and show the infinitesimal generator. Using quasi birth and death process and matrix-geometric solution method,we get the distributions of the steady state for queue length and waiting time. Furthermore,we obtain the stochastic decomposition structures of queue length and waiting time in the stationary state and the distributions for additional queue length and additional delay. |
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| Keywords: | negative customer working vacation quasi birth and death process matrix-geometric solution stochastic decomposition |
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