Abstract

In this paper we present a comparative analysis of bandwidth access control schemes under nonstationary conditions for heterogeneous traffic offered to a B-ISDN network link. A unified model to analyze the behavior of several bandwidth access control schemes is developed using a Markov process model with acceptance functions. Numerical method techniques are used to solve the associated Chapman-Kolmogorov equations and determine the nonstationary behavior. Performance results are given for several bandwidth access control schemes: complete sharing, complete partitioning, partial sharing, classical trunk reservation, and the probabilistic reservation policy scheme. Through this work, we show that use of the average arrival rate to estimate the average connection blocking rate may be an underestimate for a system with a time varying arrival process; further, nonstationarity of one arrival process can impact another process which is stationary and the degree of variability depends on the particular access control scheme.

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