Modeling of a Two-Way Communication System with a Special Searching for Customers

In this paper a special system with two-way communication is modelled by a finite and an infinite sources queueing system with retrial. The system is unreliable, the server may subject to random breakdowns. Customers from the finite source are the first order or regular customers, while the customers from the infinite source are the second order or the invited customers. The novelty of this paper is to investigate and model this unreliable system with different idle and busy breakdown intensity and different service rates for first and second order customers. In case of a busy server for first order customers, they can retry their requests. In case of an idle server, the second order customers are called for service. The effect of the breakdown and repair intensities are also investigated. The system balance equations are formulated, and the steady state probabilities can be obtained. Here the MOSEL-2 tool is used for these calculations. By the help of these probabilities the common performance measures are calculated and displayed.