Cell delay variation in an ATM multiplexer

In this paper Cell Delay Variation (CDV) in an ATM multiplexer is investigated in the case where a Constant Bit Rate (CBR) traac stream is mixed with a background traac stream that arrives in the form of independent and identically distributed batches with general batch size distribution (Batch Bernoulli process). An exact Markovian solution approach is presented which gives the entries in the underlying transition matrix in closed form. In addition an approximate diiusion approach that is both computational simple and provides insight into the point process properties of the CBR stream after passing through the multiplexer is presented. It is demonstrated that the diiusion approximation has nice properties: it is second order exact in the heavy traac case, and it provides fast and reasonable accuracy results over a wide range of system parameters.