TRAFFIC ANALYSIS OF THE STOP-AND-WAIT ARQ OVER A MARKOV ERROR CHANNEL

Recently, the throughput performances of ARQ's have been analyzed over a Markov error channel. It has been shown that given a round-trip-del ay, the throughput of the Stop-and-Wait ARQ is dependent only on the o verall average packet-error probability. In this paper, we exactly ana lyze the Stop-and-Wait ARQ scheme under the condition that the channel is slotted and packet errors occur according to a two-state Markov ch ain which is characterized by the decay factor. The distribution of pa cket delay time and the channel usage factor are obtained. From the an alytical results and numerical examples, it is shown that for a given round-trip-delay, the average packet delay time and the channel utiliz ation factor depend on both the overall average packet-error probabili ty and the decay factor characterizing the two-state Markov chain. Fur thermore, the decay factor gives different influence on the average de lay time and the channel usage factor depending on whether the round-t rip-delay is even slots or not.