Queuing Behaviour of Statistical Multiplexer with Spacing

This paper considers an ATDM system with an in nite bu er and a nite number of identical users, generating data only during their active period. This work di ers from most prior studies of ADTM systems in that a user is here allowed to remain active without sending data packets: this behaviour is called spacing . Assuming geometric distribution for the active and the passive period and for the number of packets generated in an active period, a functional equation is derived for describing the full steady-state bu er behaviour of the multiplexer. This functional equation depends on a set of unknown boundary probabilities. A technique for approximate these unknowns is proposed, and the outcome is nally compared with the results of a numerical simulation.