Traffic Analysis of the Stop-and-Wait ARQ over
a Markov Error Channel
Masaharu Komatsu, Chun-Xiang Chen and Kozo Kinoshita
SUMMARY: Recently, the throughput performances of ARQ's have been analyzed
over a Markov error channel. It has been shown that given a
round-trip-delay, the throughput of the Stop-and-Wait ARQ is dependent only
on the overall average packet-error probability. In this paper, we exactly
analyze the Stop-and-Wait ARQ scheme under the condition that the channel
is slotted and packet errors occur according to a two-state Markov chain
which is characterized by the decay factor. The distribution of packet
delay time and the channel usage factor are obtained. From the analytical
results and numerical examples,it is shown that for a given
round-trip-delay, the average packet delay time and the channel utilization
factor depend on both the overall average packet-error probability and the
decay factor characterizing the two-state Markov chain. Furthermore, the
decay factor gives different influence on the average delay time and the
channel usaage factor depending on whether the round-trip-delay is even
slots or not.
Key Words: queueing analysis, stop-and-wait ARQ,
dependent error.