A vacation model with setup and close-down times for transmitter buffer of ARQ schemes

This paper develops a finite-capacity single-vacation queueing model with close-down/setup times and batch Markovian arrival process (BMAP) for the statistic behavior of the typical ARQ schemes (Stop-and-Wait, Go-Back-N, Selective Repeat) at transmitter buffer. We obtain the queue length distribution, the average waiting time of arbitrary data frame and the server utilization ratio of the transmitter for all the ARQ strategies by model analysis. Through numerical examples, the influences of the batch arrival process and the link frame transmission error process on system performance are investigated. Numerical results show that an appropriate trade-off between the users service-of-quality (e.g. average waiting time) and the system efficiency (e.g. server utilization ratio) has to be considered in the design of implementation value for the close-down time.