Call-Burst Blocking Probabilities of ON-OFF Traffic Sources under the Bandwidth Reservation Policy

We calculate call and burst blocking probabilities (CBP and BBP respectively) in a single link loss system accommodating service-classes of ON-OFF traffic calls, either of high or low bandwidth requirements. To benefit high speed calls the bandwidth reservation (BR) policy is considered (ON-OFF/BR model). Poisson arriving calls enter the system via state ON and may alternate between states ON and OFF. When a call passes to state OFF it releases the bandwidth held in state ON which becomes available for new arrivals. When the call tries to return to state ON it re-requests its bandwidth. If it is available a new burst begins; otherwise, the burst is blocked and the call remains in state OFF. The CBP/BBP calculation is based on approximate formulas.