Analysis of queueing tandem with feedback by the method of limiting decomposition

The paper presents the study of a two-stage infinite-server queueing system with feedback. The service time at each stage is given by an arbitrary distribution function. The method of limiting decomposition is used for the study. As a result of the research, stationary distributions of the number of customers at each stage of the system are found. The obtained analytical results are compared with the asymptotic ones which were obtained in previous papers. © Springer International Publishing AG 2017