An extended queueing model for SVC-based IP-over-ATM networks and its analysis

We propose a finite-capacity single-vacation queue with close-down/setup times and batch Markovian arrival process (BMAP) for SVC-based IP-over-ATM networks, where the IP packets or the segmented ATM cells may arrive in batch. Specifically, the close-down time corresponds to an inactive timer and the setup time corresponds to the processing delay for setting up an SVC. The vacation time may be considered as the time period required to release the SVC. Both the PBAS (partial batch acceptance strategy) and the WBAS (whole batch acceptance strategy) service disciplines are studied. By applying the supplementary variable technique, we derive the loss probability of IP packets, average delay time of IP packets, SVC setup rate, and SVC bandwidth utilization ratio