Service Time Distribution of Selective Repeat ARQ Protocol Used In Transmitting Short Messages Over Noisy Channels

Abstract

ARQ (Automatic-Repeat-Request) protocols are used in communication applications to ensure reliable delivery of packetized data in the correct sequence. The major used protocols are: Stop and Wait (SW), Go Back N, and Selective Repeat (SR). In this paper we continue studying and measuring the performance of Automatic Repeat Request (ARQ) protocols. ARQ protocols are used at Data Link Control (DLC) sub layer of Data Link Layer (DLL) to achieve error control and provide smooth and reliable transmission between nodes. They use acknowledgements and timeouts to satisfy reliable data transmission over noisy channels. This paper analyses the service time distributions of Selective Repeat ARQ protocol used in transmission of short messages over noisy channels. The system is operated according to SW protocol in the message level, while packets in each message are transmitted according to $\mathrm{S}\mathrm{R}_{\infty}$ ARQ protocols. The system is modeled as a stochastic process where it includes senders and receivers. We consider applying $\mathrm{S}\mathrm{R}_{\infty}$ with connection-oriented transmission. The Probability Generating Function of service time is calculated and first and second moments of the service time are derived.