| 具有第二次多选择服务的M[X]/G/1排队系统 |
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| 引用本文： | 尹小玲,邓永录,刘国柱.具有第二次多选择服务的M[X]/G/1排队系统[J].应用数学与计算数学学报,2003,17(1):41-53. |
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| 作者姓名： | 尹小玲 邓永录 刘国柱 |
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| 作者单位： | 1. 中山大学统计科学系,广州,510275
2. 南方航空公司,广州,510000 |
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| 摘 要： | 本文研究成批到达的具有第二次多选择服务的单服务员排队系统．顾客的到达形成一广义泊松过程，不同批的顾客按先到先服务的规则，而同一批的顾客按随机次序接受服务．两次服务的服务时间都是一般分布且相互独立．本文采用补充变量法，求得在瞬态和稳态情况下系统队长的概率母函数，然后又计算出顾客的平均队长和平均等待时间．
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| 关 键 词： | 排队系统 第二次多选择服务 广义泊松过程 补充变量法 队长 等待时间 单服务员 概率母函数 |
| 修稿时间： | 2002年8月6日 |
The M[X]/G/1 Queueing System with Second Multi-Optional Services |
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| XIAOLING YIN YONGLU DENG.The M[X]/G/1 Queueing System with Second Multi-Optional Services[J].Communication on Applied Mathematics and Computation,2003,17(1):41-53. |
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| Authors: | XIAOLING YIN YONGLU DENG |
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| Abstract: | A Bulk-arrive single server queueing system with second multi-optional services is discussed in this paper. The arrival of customer is a general Poisson process. The principle of service is FCFS for different bulk and stochastic for same bulk. The first service time and the second service time all have general distributions and they are independent. A supplementary variable technique is used to obtain the time-dependent and steady-state probability generation function of the number of customers in the system, then the mean number of customers and mean waiting time in the system are obtained. |
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| Keywords: | Bulk-arrive First certain service Second multi-optional services General Poisson process Residual service time |
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