| GI／PH／1休假排队系统队长的随机分解 |
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| 引用本文： | 田乃硕.GI／PH／1休假排队系统队长的随机分解[J].高校应用数学学报(A辑),1993(2):130-137. |
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| 作者姓名： | 田乃硕 |
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| 作者单位： | 黑龙江省佳木斯市佳木斯师范专科学校数学系 154007 |
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| 摘 要： | 对空竭服务、多重休假规则的GI/PH/1排队系统的稳态行为给出了详尽分析。在休假时间服从负指数分布情况下,讨论了到达点嵌入Markov链的结构、平衡条件和稳态队长。证明稳态队长可分解成两个独立随机变量之和。
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| 关 键 词： | 休假排队 稳态队长 GI／PH／1系统 |
STOCHASTIC DECOMPOSITION FOR THE QUEUE LENGTH IN GI/PH/1 QUEUEING SYSTEM WITH SERVER VACATIONS |
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| Tian Naishuo.STOCHASTIC DECOMPOSITION FOR THE QUEUE LENGTH IN GI/PH/1 QUEUEING SYSTEM WITH SERVER VACATIONS[J].Applied Mathematics A Journal of Chinese Universities,1993(2):130-137. |
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| Authors: | Tian Naishuo |
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| Institution: | Jiamusi Teachers' College |
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| Abstract: | We consider the GI/PH/1 queueing system with server vacations, the vacation times being assumed to be exponential variables. We give a detailed analysis of the stable behaviour under the rule of exhaustive service and multiple vacation. We discuss the structure of the imbedded Markov chain at arrival points, study the steady condition, and the steady queue size. It is proved that the queue-ing time can be decomposed into a sum of two independent random variables. |
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| Keywords: | Vacation Queue Steady Queue Length Stochastic Decomposition |
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