CIPP - a versatile analytical model for VBR traffic

Correlated interarrival time Poisson process (CIPP) has been proposed in Pr oceedings of the Fifth Biennial Conference on Signal Processing and Communi cations (SPCOM'99), IISc, Bangalore, July 1999, pp. 43-50; J. Indian Inst. Sci. 79 (3) (1999) 233-249] for modeling both the composite arrival process of packets in broadband networks and the individual video source modeling. The CIPP - a generalization of the Poisson process - is a stationary count ing process and is parameterized by correlation parameter 'rho'. the degree of correlation in adjacent interarrivals and 'lambda', the intensity of th e process. In this paper, we develop the theory for CIPP/M/1 queue and unde rtake the performance modeling of statistical multiplexer with VBP video tr affic in broadband networks using the CIPP/M/1 queue. We first derive the e xpressions for stationary distributions for queue length and waiting time i n a CIPP/M/1 queue. Then, we derive the queuing performance measures of int erest. For reasons of feasibility of theoretical performance modeling and r ealistic compulsions, we propose a deterministic smoothing with random (geo metrically distributed) packet sizes. We simulate a queue with (thus smooth ed) VER video trace data as input to compare with the theoretical performan ce measures derived above. Experimental results show that the CIPP/M/1 queu e models well the statistical multiplexer performance with the real-world M PEG-1 VER video traffic input. (C) 2001 Elsevier Science B.V. All rights re served.