| 超模序及其在离散排队系统中的应用 |
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| 引用本文： | 周文慧,邓永录.超模序及其在离散排队系统中的应用[J].中山大学学报(自然科学版),2004,43(6):166-168,177. |
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| 作者姓名： | 周文慧 邓永录 |
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| 作者单位： | 1. 华南理工大学工商管理学院,广东,广州,510640
2. 中山大学统计科学系,广东,广州,510275 |
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| 摘 要： | 总结了超模序的一些性质,这些性质充分地说明了超模序能刻划随机向量的正相关性的强度.并证明了一个新的性质.最后给出了超模序在有正相关到达的离散时间排队系统中的应用,得到了队长的一些随机比较结果,并分析了有Bernoulli相关到达和消息长度相关的N源消息到达2个具体的模型.
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| 关 键 词： | 超模序 正相关性 离散时间排队系统 |
| 文章编号： | 0529-6579(2004)06-0166-04 |
Supermodular Order and Its Application in Discrete-time Queue |
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| ZHOU Wen-hui,DENG Yong-lu.Supermodular Order and Its Application in Discrete-time Queue[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2004,43(6):166-168,177. |
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| Authors: | ZHOU Wen-hui DENG Yong-lu |
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| Institution: | ZHOU Wen-hui~1,DENG Yong-lu~2 |
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| Abstract: | The supermodular order is introduced and it is shown that the supermodular order can compare the strength of the positive dependence of random vectors.And then the discrete_time with postive dependent arrival is analysed by using the supermodular order and concerned stochastic order.The result is obtained that the buffer contents are ordered under increasing convex order, when arrival processes are ordered under supermodular order. Finally, the result is applied to some special discrete_time queues such as Bernoulli correlated arrival and N_source arrival with correlated messages. |
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| Keywords: | supermodular order positive correlation discrete-time queue |
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