S. Fujii et Y. Hayashida, DELAY PERFORMANCE OF A SELECTIVE-REPEAT ARQ SCHEME WITH A MARKOVIAN ERROR CHANNEL, Electronics & communications in Japan. Part 1, Communications, 81(6), 1998, pp. 31-41
One of the typical error control schemes used in data transmission sys
tems is the selective-repeat ARQ. Previously, the transmission delay f
or this scheme has been analyzed mostly for an independent error chann
el. In practice, however, the state of the channel varies with time so
that error generation is not independent. This paper considers a non-
independent error channel and analyzes transmission delay performance
for a selective-repeat ARQ scheme. An error model is used in which the
change of the channel state is represented as a 2-state Markov chain.
A strict analysis is applied using a discrete-time queuing system and
the transmission delay distribution for the frame is derived. When th
e round-trip propagation delay pr the frame queue length is increased,
however, a large amount of computation is required in order to obtain
the numerical result due to enlargement of the state space. In order
to simplify the numerical calculation we give an approximate analysis
for the case where the propagation delay or the frame queue length is
increased. The average transmission delay is discussed based on numeri
cal examples. As a result, we show that the average transmission delay
performance is significantly improved when the decay factor of the Ma
rkov chain approaches zero from positive values. (C) 1998 Scripta Tech
nica.