D-BMAP Models for Performance Evaluation of ATM Networks [chapter]

John A. Silvester, Nelson L. S. Fonseca, Stanley S. Wang
1995 Performance Modelling and Evaluation of ATM Networks  
The fixed cell size used in ATM networks naturally leads to the use of discrete-time models for performance evaluation. In this paper, we describe our work on estimating network performance based on Discrete-time Batch Markovian Arrival Process (D-BMAP) models. Many recent studies make use of multi-state Markov modulated arrival processes to model different types of multimedia traffic. In the continuous time domain, the performance of an ATM multiplexer loaded with this kind of traffic has been
more » ... approximated by reducing the arrival processes to two-state models. We extended these results to the discrete-time domain with accurate results and fast computation. We are also interested in network-wide performance evaluation and propose models that make use of similar two-state Markov models to represent both external and internal traffic. For given input characteristics, we determine the parameters of the output process for a switch and also specify how to modify the parameters when splitting and joining of flows occurs. This allows us to model the network-wide performance (delay and loss). Comparison with simulation shows good agreement, which suggests that these fast models have potential application to real-time traffic management as well as network design procedures.
doi:10.1007/978-0-387-34881-0_17 fatcat:tv56jaxrsbapze4xxlegd2gnli