MEAN PACKET DELAY ANALYSIS FOR THE SELECTIVE REPEAT AUTOMATIC REPEAT REQUEST PROTOCOL WITH CORRELATED ARRIVALS AND DETERMINISTIC AND NONDETERMINISTIC ACKNOWLEDGMENT DELAYS

An analytical approach for analyzing the mean packet delay in a select ive repeat (SR) automatic repeat request (ARQ) error-control system is presented. The system is modeled as a discrete time queue with an inf inite buffer. Transmission errors in the forward channel are assumed t o occur independently, and packet arrivals may have different interarr ival time distributions. Bernoulli arrivals in independent random-size batches and nonindependent arrivals such as that modeled by a two-sta te Markov process are investigated. Comparisons of numerical predictio ns with simulation results are shown to highlight the efficiency of th e proposed analytical approach in particular in the case of correlated arrivals and long nondeterministic acknowledgement delays where metho ds previously proposed cannot be applied. The case of Poisson arrivals and deterministic acknowledgement delay is also discussed in appendix C in order to enable the application of the proposed approach to a wi de class of network scenarios and validate the analytical predictions by comparisons with numerical results previously appeared in the liter ature.