Fluid models for the analysis and design of statistical multiplexing with loss priorities on multiple classes of bursty traffic

The authors give the complete solution for a stochastic fluid model of statistical multiplexing with loss priorities in asynchronous transfer mode (ATM)-based broadband ISDN. In this model each Markov modulated fluid source generates priority and marked cell streams which are bursty, mutually correlated, and periodic during bursts. The output of many such sources is buffered and multiplexed for transmission. The loss priority is implemented by selectively discarding marked cells when the buffer content exceeds a threshold level. The equilibrium state distribution exhibits jumps, a feature not existent in prior fluid models. The computational complexity for two-state sources is dominated by a single system of linear equations of dimension equal to twice the number of sources, in particular, the complexity is independent of buffer size. The complete delay distribution for each traffic class is obtained. Numerical results are given. The analysis is generalized to several priority classes of traffic