Tail asymptotic behaviour of resequencing buffer content for selective repeat ARQ

We consider resequencing buffer content at receiver's side where the selective repeat automatic repeat request scheme is implemented for retransmission of erroneous packets in wireless networks. The error process of the wireless channel due to the fading is described by a discrete-time Markov chain. The study is carried out assuming that the round-trip time of packet over the channel is constant. The main concern in this paper is to characterize the tail asymptotics of the probability mass function of the resequencing buffer content at receiver's side. Numerical results show that this approximation matches well with simulation.