Approximate analysis of discrete-time tandem queueing networks with bursty and correlated input traffic and customer loss
The paper begins by providing an approximation to the output process of 2-\(MMBP/GEO/1/K\) queue using another 2-\(MMBP\) (two-state Markov modulated Bernoulli process). The burstiness and the correlation of the output process are shown to be well approximated by the 2-\(MMBP\). The output approximation is achieved by matching the average output rate, its squared coefficient of variation, the autocorrelation coefficients of the interdeparture times and the number of departures per slot. A tandem configuration of five notes is analysed using the approximation in a decomposition algorithm and the result compared to simulation, with good agreement.
two-state Markov modulated Bernoulli process
autocorrelation coefficients of the interdeparture times
scientific article; zbMATH DE number 633816