Performance evaluation based on an aggregate ATM model

The performance of a queueing system fed by an aggregate ATM model is considered. Particularly, a (batch- on/off)/D/1 queue is analyzed in terms of the complete response time distribution. The analysis follows an exact decomposition approach, where the response time is evaluated as the superposition of the contribution of single bursts (small time-scale effects) and the contribution of the interaction between bursts (large timescale effects). For the contribution of single bursts, an exact closed-formula is obtained. The interaction between bursts is modeled by means of a Markov chain, which in fact corresponds to a general random walk. The expressions obtained in this paper will help in providing a better understanding of the relationships between traffic and performance parameters.

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