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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 4
First page : ( 686) Last page : ( 690)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00116.4

Delay Behaviour of Asynchronous Internet Router under Self-Similar Traffic Input-Queueing System with Markovian Input and Hyper-Erlang Services

Gudimalla Ravi Kumar*, Perati Malla Reddy

Department of Mathematics, Kakatiya University, Warangal-506009 (T.S.) India

*Corresponding Author E-mail: grk_maths@yahoo.co.in

Online published on 12 June, 2018.

Abstract

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.

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Keywords

Internet Router, Self-Similarity, Single-Server Queue, Hyper-Erlang Distribution, Mean Waiting Time.

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