An ON-OFF multi-rate loss model with a mixture of service-classes of finite and infinite number of sources

We consider an ON-OFF traffic model of a single link which accommodates service-classes of finite population. Calls arrive according to a quasi-random process and, if accepted, enter the system via state ON; then calls may alternate between ON-OFF states. When a call is transferred to state OFF, it releases the bandwidth held in state ON, while when it tries to return to state ON it re-requests its bandwidth. If it is available a new ON-period (burst) begins; otherwise burst blocking occurs and the call remains in state OFF. We prove that the proposed finite source ON-OFF model (f-ON-OFF) has a product form solution and provide an accurate recursive formula for the call blocking probabilities calculation. For the burst blocking probabilities calculation we propose an approximate formula. Finally, we generalize the f-ON-OFF model to include a mixture of service-classes of finite and infinite number of sources. Simulation results validate our analytical methodology.