Multiplexing of periodic arrival processes with different packet sizes

For the N * D/D/1 queue, the exact formulas for the virtual waiting time distribution and the waiting time distribution are well known. The exact formulas are extended to the case of the /spl Sigma/ N/sub k/D(X/sub k/)/D/1 queue, where different arrival processes can have different packet sizes. Numerical examples are also presented to illustrate their practical applications.