Abstract We consider tandem queues with failures and a buffer of finite capacity at each service station. The service and repair time distributions of each server is of the phase type. A unified method for approximating the system under three types of service-failure interactions is presented. The approximation is based on the decomposition method. Some numerical examples are presented to investigate the effectiveness of the approximation and the effects of the system characteristics, such as failure rates, service time, repair time and service-failure interactions.

中文翻译：

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一种在几种服务故障交互下近似具有故障和阻塞的串联队列的统一方法

摘要 我们考虑在每个服务站有故障的串联队列和有限容量的缓冲区。每个服务器的服务和维修时间分布是阶段类型的。提出了一种在三种服务-故障交互作用下逼近系统的统一方法。该近似基于分解方法。给出了一些数值例子来研究近似的有效性和系统特性的影响，例如故障率、服务时间、修复时间和服务-故障交互。