Reliability Analysis of a Two-Way Communication System with Searching for Customers

In this paper a special two-way communication system is modelled by the help of finite and infinite sources queueing system with retrial. An unreliable system is considered. 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 of a non-reliable two-way communication system with this special case of searching for the customers. The first order customers reach the server according to an exponentially distributed request generation time. In case of a busy server, they are able to retry their requests. In case of an idle server, the second order customers are called for service. Their inter-arrival times also subject to the exponential distribution. The effect of the breakdown and repair intensities are also investigated. From the system balance equations the steady state probabilities can be obtained. The MOSEL-2 tool is used for these calculations. By the help of these probabilities the common performance measures are calculated and displayed.