Performance evaluation and pseudo-conservation laws in token ring network with batch arrivals and limited services

This paper, using pseudo-conservation laws in cyclic-service systems, derives some expressions for the weighted sum of the mean waiting time token ring networks with exhaustive limited service policies on condition that messages arrived with batch Poisson, and discusses boundary conditions. At the same time, the results of the token ring network with exhaustive and non-exhaustive service strategy are obtained. Finally the exact expression of mean waiting time in symmetric ring network with same service strategy is given.