| 具有负顾客到达的M/G/1可修排队系统 |
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| 引用本文： | 周文慧,邓永录. 具有负顾客到达的M/G/1可修排队系统[J]. 运筹学学报, 2006, 10(2): 28-36 |
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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,广州,510640
2. 中山大学统计科学系,广州,510275 |
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| 基金项目： | The research was supported by the National Natural Science Foundation of China with Grant 10501014． |
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| 摘 要： | 本文考虑一个具有负顾客到达的M／G／1可修捧队系统．所有顾客(包括正顾客和负顾客)的到达都是泊松过程,服务器是可修的．Harrison和Pitel研究过具有负顾客到达的M／G／1捧队系统．这里我们推广到有可修服务器情形,系统的稳态解最后可以通过Fredholm积分方程解出．
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| 关 键 词： | 运筹学 负顾客 可修排队系统 Fredholm积分方程 |
| 收稿时间： | 2005-01-04 |
| 修稿时间： | 2005-01-04 |
On the M/G/1 G-queues with Unreliable Server |
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| Zhou Wenhui,Deng Yonglu. On the M/G/1 G-queues with Unreliable Server[J]. OR Transactions, 2006, 10(2): 28-36 |
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| Authors: | Zhou Wenhui Deng Yonglu |
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| Affiliation: | 1.School of Business Administration, South China Univ. of Tech., Guangzhou 510640, China;2.Department of statistic, Zhongshan University, Guangzhou 510275, China |
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| Abstract: | The paper concerns an M/G/1 G-queues with removable server. Arrivals of customers (both positive customers and negative customers) are a Poisson process and the server may break down with Poisson rate and need repair time. Harrison and Pitel (1996) investigated a M/G/1 queue with negative arrivals. In this paper, we extend the analysis to a G-queue with removable server. We show the equilibrium results of this system can still be reduced to Fredholm integral equations that can be solved numerically. |
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| Keywords: | Operation research G-queues Fredholm integral equation removable server |
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