Research Journal of Science and Technology

In this paper, we analyze the delay behaviour of asynchronous Internet router under self-similar input traffic. Router is modelled as single server queueing system. Markov modulated Poisson process (MMPP) is employed to emulate self-similar Internet traffic and the same is used as input process of queueing system. The service times (packet lengths) is assumed to be follow Hyper-Erlang (HE(_{p, q})) distribution with p stages in parallel and q phases in series of service. Finally, Internet router is modelled as MMPP/HE(_{p, q})/1/K queueing system. The performance measure, namely, mean waiting time (MWT) is computed and presented graphically.