Multiplexing On-Off Sources with Subexponential On Periods: Part 1

A theoremon sums of independentpositive random variables and its application to branching random processes. Some results on regular variation for distributions in queueing and uctuation theory. Large deviations and over-ow probabilities for the general single-server queue with applications. Fundamental bounds and approximations for atm multiplexers with applications to video teleconferenc-ing. and long range dependence in on/oo processes and associated uid models. preprint. 20] D. P. Heyman and T. V. Lakshman. Source models for VBR broadcast-video traac.totics of a markov-modulated random walk with queueing applications. Sur un mode de croissance r eguili ere des fonc-tions. Mathematica (Cluj), 1930. 28] C. Kl uppelberg. Subexponential distributions and integrated tails. of an atm buuer with self-similar ("fractal") input traac. The stability of a queue with non-independent inter-arrival and service times. Performance decay in a single server queueing model with long range dependence. preprint. 37] M. Rubinovitch. The output of a buuered data communication system. Again, the desirable closeness between the simulation results and the approximations is represented in Figure 3. It is interesting to observe that in this case the peak rate of each individual source is smaller than the capacity of the server.