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首页> 外文期刊>The Computer journal >Analysis of the N-policy GI/M/1/K Queueing Systems with Working Breakdowns and Repairs
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Analysis of the N-policy GI/M/1/K Queueing Systems with Working Breakdowns and Repairs

机译:具有工作故障和维修的N策略GI / M / 1 / K排队系统分析

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In this paper, we present an algorithmic approach to the analysis of the finite-capacity GI/M/1 queue with working breakdowns under N-policy. When there are no customers in the system, the server is turned off. If the number of customers in the system reaches threshold N, then the server is turned on and working. The recently introduced working breakdown involves serving newly arrived customers at a lower service rate in cases where the server breaks down. Service times during busy and breakdown periods are exponentially distributed. When a breakdown occurs, the failed server is not repaired until there are no customers remaining in the system. In this type of queueing system, we compute the steady-state probabilities at arbitrary and pre-arrival epochs using the supplementary variable method. We propose an algorithm for computing the steady-state probabilities at pre-arrival epochs and develop system performance measures. Finally, numerical analysis is used to evaluate the effects of various system parameters on system performance measures.
机译:在本文中,我们提出了一种在N策略下具有工作故障的有限容量GI / M / 1队列分析的算法方法。当系统中没有客户时,服务器将关闭。如果系统中的客户数量达到阈值N,则服务器已打开并且正在运行。最近引入的工作故障包括在服务器发生故障的情况下以较低的服务速率为新到达的客户提供服务。繁忙时段和故障时段的服务时间呈指数分布。发生故障时,只有在系统中没有剩余客户的情况下,才会修复发生故障的服务器。在这种排队系统中,我们使用补充变量法计算任意和到达前时期的稳态概率。我们提出了一种算法,用于计算到达前时期的稳态概率,并开发系统性能指标。最后,使用数值分析来评估各种系统参数对系统性能指标的影响。

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