A Generalized Markovian Queue and Its Applications to Performance Analysis in Telecommunications Networks

In this paper the MM ∑K k=1 CPPk/GE/c/L G-queue is introduced and proposed as a generalised Markovian node model in telecommunications networks. An exact and computationally efficient solution is obtained for the steady-state probabilities and performance measures. Issues concerning the computational effort are also discussed. The proposed queue is applied to the performance analysis of optical burst switching (OBS) nodes. The numerical results obtained and also the numerical results of a previous model are compared to the simulation results of the OBS obtained using captured traffic traces. We have also introduced negative customers into the model, in an innovative way, in order to account for the loss of packets due to technology limitations of the FDL’s (fiber delay loop), which is rather specific to the optical domain. The model is quite promising as a viable performance predictor.