Discrete queueing analysis of multi-media traffic with diversity of correlation and burstiness properties

A solution for multi-media traffic queueing analysis is presented. The key properties of multi-media traffic are characterized by a great diversity in correlation and burstiness. The multi-media traffic is constructed based on various two-state Markov chains. Upon a time index normalization, the queue is modeled by a multi-dimensional discrete Markov process. The entire solution of queue length distributions is constructed. It uses a generating function approach. By matrix spectral decomposition and diagonalization, one can decompose the evaluation of each individual vanishing/non-vanishing root. It is found that all the vanishing roots must be real and all the complex non-vanishing roots can be ignored. In numerical studies, the time index normalization in source modeling is first verified, and the effect of multi-media traffic properties on ATM queues is examined