For the superposition of ON/OFF sources, we propose a real-time computable
two-state Markov modulated Poisson process [MMPP(2)] modeling method charac
terizing the aggregate cell arrival rate and the variance-time curve for ce
ll counts. Numerical examples show that the proposed method yields a good e
stimation of cell loss ratio (CLR) in asynchronous transfer mode (ATM) mult
iplexers, Then, we propose an approximation method for calculating the work
load for the MMPP(2)/D/1 system. By considering the workload as an upper bo
und of CLR of ATM multiplexers, He propose a connection admission control (
CAC) algorithm utilizing peak cell rate, sustainable cell rate, and maximum
burst size as user traffic descriptors. Using the proposed CAC algorithm,
an acceptance decision is made with computational complexities of less than
3000 floating point operations. It is also observed from numerical evaluat
ions that the proposed CAC algorithm yields a high multiplexing gain, compa
red with other methods in the literature.