Stochastic modelling of a high speed, short packet length, slotted ring with finite queueing capacity

A discrete-time Markovian model for the medium access control protocol of a slotted ring, under the assumption that this operates in a high speed, short packet length environment is presented and analysed. The model considers stations on the ring each to have a buffer of finite length. A solution of the model reduces to finding a unique root in the interval [0,1] of a cubic equation. The throughput, mean packet delay, and probability of packet loss predicted by the model are shown to match well with values obtained from a simulation study over a wide range of parameter values.