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Analysis of the N-policy GI/M/1/K Queueing Systems with Working Breakdowns and Repairs

机译:采用工作故障和维修的N-Policy 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,我们提出了一种算法方法来分析了N-Policy下的有限容量GI / M / 1队列的工作故障。当系统中没有客户时,服务器已关闭。如果系统中的客户数达到阈值N,则服务器已打开并工作。最近引入的工作细​​分涉及在服务器分解的情况下以较低的服务速度为新到达客户提供服务。繁忙和故障期间的服务时间是指数分布的。发生故障时,在系统中没有客户端,未修复故障服务器。在这种类型的排队系统中,我们使用补充变量方法计算任意和前到达前的秒钟的稳态概率。我们提出了一种用于在抵达前时期计算稳态概率的算法,并开发系统性能措施。最后,使用数值分析来评估各种系统参数对系统性能措施的影响。

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