CELL ARRIVAL MODELING AND RELATED STATISTICAL MULTIPLEXER PERFORMANCEIN ATM NETWORKS

A source is assumed to go through independently distributed ON and OFF periods. During an ON period, cells arrive spaced apart in time by a fixed interval. No cells arrive during an OFF period. The probability distribution of the ON and OFF periods are arbitrary. Traffic from a n umber of such sources is statistically multiplexed. The related statis tical multiplexer performance is studied analytically as follows. A st atistical multiplexer is modeled as a discrete-time single-server queu eing system where the traffic from a new source (conforming to the cel l arrival process described above) joins traffic that is already being statistically multiplexed. The aggregated arrival of cells from exist ing traffic is assumed to follow a two-state Markov modulated cell arr ival process. Numerical examples that relate the performance at the st atistical multiplexer to the parameters describing the traffic from th e new source and the aggregated traffic are presented.