Asymptotic Non-stationary Behavior of Statistical with Multiple Types of Traffic

The cell loss probability is a major performance factor in designing an ATM (asynchronous transfer mode) network for broadband integrated services of multi-media communications. The dynamic behavior of an ATM network needs to be well understood because of its extremely high speed and diversity of traffic. We analyze the transient buffer overflow probability of a statistical multiplexer with multiple types of traffic by taking a spectral representation approach. The joint distribution is obtained in the Laplace transform domain in analytic form. An asymptotic behavior is characterized by simple parameters of what we term the "dominant" type traffic.