ATM cell multiplexer analysis by a compensation method

The performance analysis of a synchronous finite buffer ATM cell multiplexer with heterogeneous or homogeneous bursty sources and multiple servers is considered. A novel solution technique, based on the method of compensation, is formulated that reduces the problem of obtaining the ergodic state distribution and the associated performance measures to (1) the determination of the ergodic Green´s density matrix for an associated homogeneous process defined on an infinite strip and (2) the solution of a system of linear equations whose order depends only on the number of sources. An important feature of the approach is that it facilitates a parametric analysis with respect to the buffer size. Several numerical examples are provided to illustrate the theory. Simulation results are also used to validate the theoretical analysis