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.
NOTE: Full version
of this manuscript is available in PDF.