A Random Tandem Network with Queues Modeled as Birth-Death Processes

We consider a tandem network consisting of an arbitrary but finite number \(R_m\) of queueing systems, where \(R_m\) is a discrete random variable with a suitable probability distribution. Each queueing system of the tandem network is modeled via a birth-death process and consists of an infinite buffer space and of a service center with a single server.