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Author(s): Rakesh Kumar

Email(s): rakesh.kumar@smvdu.ac.in

Address: School of Mathematics, Shri Mata Vaishno Devi University, Katra
Sub - Post Office, SMVD University Campus-182320. (J&K) India.

Published In:   Volume - 21,      Issue - 1,     Year - 2010


Cite this article:
Kumar (2010). A Catastrophic Queuing System with Correlated Input and General Service Time Distribution. Journal of Ravishankar University (Part-B: Science), 21(1), pp. 1-9.



Journal of Ravishankar University-B, 21(1), 10-18 (2010)

A Catastrophic Queuing System with Correlated Input and General Service Time Distribution

Rakesh Kumar

School of Mathematics, Shri Mata Vaishno Devi University, Katra

Sub - Post Office, SMVD University Campus-182320.(J&K) India.

rakesh.kumar@smvdu.ac.in

Abstract: In this paper, we have developed a continuous time, catastrophic  queuing model with  correlated input and general service time distribution.  The transient solution of the model has been obtained by using probability generating function technique. Finally, some particular cases of the model have been derived and discussed.

Keywords: Queue length, Catastrophes, Correlated input, General service, Broadband services.

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