Resource Queueing System \(MMPP^{(2,\nu )}|GI_2|\infty \) with Parallel Service of Multiple Paired Customers

The article proposes the method for investigating the heterogeneous queuing system of \(MMPP^{(2,\nu )}|GI_2|\infty \) type with resource splitting and parallel service. Each customer is characterized by a random total capacity which is independent of the service time. Based on the asymptotic analysis, it is possible to deduce the expressions for characteristic function of the process of the total amount of resource in two-service unit system. The mathematical models of this type could be of great interest in terms of application in telecommunication, for example, for modeling wireless network, enhancing the existing and designing new ones.