| M/M/1排队系统中的维修策略 |
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| 引用本文： | 卫一卿,侯振挺,刘路.M/M/1排队系统中的维修策略[J].数学的实践与认识,2017(2):184-190. |
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| 作者姓名： | 卫一卿 侯振挺 刘路 |
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| 作者单位： | 中南大学 数学与统计学院,湖南 长沙,410075 |
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| 摘 要： | 以平均报酬率为目标函数的维修策略问题引入可修排队系统.在M/M/1/模型下,利用几何过程描述服务台随机退化过程,考虑了基于服务台失效次数N的策略,即当失效次数到达N次时,对服务台进行替换.根据更新报酬定理,获得了基于维修次数N的平均报酬率的表达式.
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| 关 键 词： | 指数分布 几何过程 维修策略 |
Maintenance Policy in M/M/1 Repairable Queueing System |
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| WEI Yi-qing,HOU Zhen-ting,LIU Lu.Maintenance Policy in M/M/1 Repairable Queueing System[J].Mathematics in Practice and Theory,2017(2):184-190. |
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| Authors: | WEI Yi-qing HOU Zhen-ting LIU Lu |
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| Abstract: | The paper introduces a maintenance policy that the objective function is average reward rate in the M/M/1 repairable queueing system.By using geometric process to describe the stochastic degradation process of the service station,a replacement policy N based on the number of failures of the system is considered.When it reaches N,an identical new service station is adopted to replace the old one.According to the renewal reward theorem,we can derive the expression of the maintenance policy based on the number of failures. |
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| Keywords: | exponential distribution geometric process maintenance policy |
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