Analysis of stop-and-wait ARQ for a wireless channel (Q1022442)

The paper analyzes the behavior of the transmitter buffer of a Stop-and-Wait retransmission protocol system, when the buffer is modeled as a discrete-time infinite-capacity queue. The buffer input during consecutive slots is assumed to be independent and identically distributed random variables. The probability of an erroneous transmission is modulated by a two-step Markov chain. Under these circumstances, an expression for the probability generating function of the buffer content is obtained, afterwards used to derive several queue length features and the mean packet delay. Some numerical examples are presented at the end of the paper, illustrating the results obtained.