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首页> 外文期刊>International journal of stochastic analysis >Ak-out-of-nreliability system with an unreliable server and phase type repairs and services: the(N,T)policy
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Ak-out-of-nreliability system with an unreliable server and phase type repairs and services: the(N,T)policy

机译：具有不可靠服务器和阶段类型维修和服务的Ak-out-of-nliability系统：（N，T）策略

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In this paper we study ak-out-of-nreliability system in which a single unreliable server maintainsnidentical components. The reliability system is studied under the(N,T)policy. An idle server takes a vacation for a random amount of timeTand then attends to any failed component waiting in line upon completion of the vacation. The vacationing server is recalled instantaneously upon the failure of theNthcomponent. The failure times of the components are assumed to follow an exponential distribution. The server is subject to failure with failure times exponentially distributed. Repair times of the component, fixing times of the server, and vacationing times of the server are assumed to be of phase type. Using matrix-analytic methods we perform steady state analysis of this model. Time spent by a failed component in service, total time in the repair facility, vacation time of the server, non-vacation time of the server, and time until failure of the system are all shown to be of phase type. Several performance measures are evaluated. Illustrative numerical examples are presented.
机译：在本文中，我们研究了可靠性单一的系统，其中单个不可靠的服务器维护着相同的组件。在（N，T）策略下研究了可靠性系统。空闲的服务器在随机的时间量内休假，然后在休假完成后处理排队等待的任何故障组件。在第N个组件发生故障时，将立即撤回休假服务器。假定组件的故障时间遵循指数分布。服务器会发生故障，并且故障时间呈指数分布。组件的维修时间，服务器的固定时间和服务器的休假时间被假定为阶段类型。使用矩阵分析方法，我们对该模型进行稳态分析。发生故障的组件所花费的时间，维修设施中的总时间，服务器的休假时间，服务器的非闲置时间以及直到系统故障为止的时间都显示为阶段类型。评估了几种性能指标。给出了说明性的数值示例。

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