G. Hasslinger, SEMI-MARKOVIAN MODELING AND PERFORMANCE ANALYSIS OF VARIABLE-RATE TRAFFIC IN ATM NETWORKS, Telecommunication systems, 7(1-3), 1997, pp. 281-298
Semi-Markovian processes (SMP) serve as a versatile means to model var
ious traffic types generated by sources or superposed from links in AT
M networks. An efficient discrete time analysis method is proposed for
SMP/G/1 queueing systems to evaluate ATM switches with non-renewal in
put. Some basic results are derived for the autocorrelation function o
f semi-Markovian processes and for the effect of state space reduction
on autocorrelation, which show how to represent correlated traffic wi
th given characteristic by an adequate SMP model of limited size.