| 服务台可修的GI/PH/1排队系统 |
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| 引用本文： | 郭明明,田乃硕,刘爱艳.服务台可修的GI/PH/1排队系统[J].运筹与管理,2007,16(5):69-74. |
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| 作者姓名： | 郭明明 田乃硕 刘爱艳 |
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| 作者单位： | 燕山大学,理学院,河北,秦皇岛,066004 |
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| 摘 要： | 本文讨论服务台可修的GI/PH/1排队,其中服务台寿命和修复时间也是PH变量。首先证明系统在稳态下可转化为一个等价的经典GI/PH/1模型,然后给出系统的各种稳态指标。此外,对修复后重新服务和累积服务两种不同模型,我们给出了统一的处理。
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| 关 键 词： | 运筹学 可修排队 矩阵几何解 PH分布 Kronecker乘积 |
| 文章编号： | 1007-3221（2007）05-0069-06 |
| 修稿时间： | 2007-04-30 |
Queue System GI/PH/1 with Repairable Service Station |
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| GUO Ming-ming,TIAN Nai-shuo,LIU Ai-yan.Queue System GI/PH/1 with Repairable Service Station[J].Operations Research and Management Science,2007,16(5):69-74. |
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| Authors: | GUO Ming-ming TIAN Nai-shuo LIU Ai-yan |
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| Institution: | College of Science, Yanshan University, Qinhuangdao, 066004, China |
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| Abstract: | This paper discusses the queue system GI/PH/1 with repairable service station,where the lifetime and the repair time of the service station are both PH random variables.First,we prove that this queue system can be transformed into the classical queue model GI/PH/1.Second,we give several indexes under stationary state.In addition,we give a unified treatment for renewing service and cumulative service. |
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| Keywords: | operational research repairable queue matrix-geometric solutions PH distribution Kronecker product |
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