Abstract:

Discrete-time Erlang lose systems Geom/Geom/c/c in two main entrance protocols are discussed. The system is reconstructed, new models are proposed in different entrance protocols, and the formula of PGF, the loss rate and the mean queue are obtained in the steady state system respectively. With some numerical examples, the differences of the important stationary indices are compared in new models and existing models. The calculation methods of the queue and the loss rate are different, but the state transition matrix and PGF had the same expressions. Finally, the new models are compared in the two different entrance protocols. The loss rate increases with the increasing arrival rate and decreases with the increasing numbers of entrance websites and the service rate. The mean queue decreases with the increasing service rate and increases with the increasing of the arrival rate and the numbers of entrance websites. Under the same parameters, the loss rate in direct entrance protocols is less than the other; the mean queue in delayed entrance protocols is higher than the other.