MODELING, PARAMETER ASSESSMENT AND MULTIPLEXING ANALYSIS OF BURSTY SOURCES WITH HYPER-EXPONENTIALLY DISTRIBUTED BURSTS

This paper has a two-fold objective: first, to develop a method for mo delling and parameter assessment of ON-OFF traffic streams exhibiting a hyper-exponential ON-period distribution and, second, to analyse the multiplexing behaviour of such streams, with emphasis on cases where two different time scales (i.e. very short and very long bursts) are p resent. Traffic of such characteristics arises in many practical appli cations, like concentration and shaping of independent packet streams, Variable Bit Rate Video with frame refreshment, etc. The proposed mod el is a three-state Markov Modulated Rate Process (MMRP), the paramete rs of which are directly assessable by measurements on the real traffi c stream, while analytical formulae are provided for the case of shape d data streams. A Near-Comprete-Decomposability (NCD) method, develope d recently for fluid-queueing models, is reviewed and, then applied to the proposed model for streams possessing divergent time scales. Spec ific examples demonstrate the applicability of the proposed method on a wide range of traffic streams.