Analysis of a Loop Transmission System with Round-Robin Scheduling of Services
by R. M. Wu, Y.-B. Chen
A finite population, multi-queue model is developed for a loop transmission system. Approximate expressions for the state transition matrix and other system variables are derived in recursive forms. It is also shown that a number of useful system parameters, such as average message response time, average cycle time, and average response time conditioned on message length, can be obtained. The analytical results have been validated by simulation.