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

The paper gives the complete solution for a stochastic fluid model of statistical multiplexing with loss priorities in ATM-based Broadband- ISDN. In this model each Markov Modulated Fluid Source generates "priority" and "marked" cell streams which are bursty (i.e.,correlated in time), mutually correlated and periodic during bursts. The output of many such sources are 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.