A Catastrophic‐Cum‐Restorative Queuing System With Correlated Batch Arrivals And Variable Capacity

A Catastrophic‐Cum‐Restorative Queuing System With Correlated Batch Arrivals And Variable Capacity

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Article ID: iaor20118364
Volume: 4
Issue: 2
Start Page Number: 49
End Page Number: 49
Publication Date: Jul 2008
Journal: Pakistan Journal of Statistics and Operation Research
Authors:
Keywords: simulation: applications
Abstract:

In this paper, we study a catastrophic‐cum‐restorative queuing system with correlated batch arrivals and service in batches of variable sizes. We perform the transient analysis of the queuing model. We obtain the Laplace Transform of the probability generating function of system size. Finally, some particular cases of the model have been derived and discussed. Keywords: Queue length, Catastrophes, Correlated batch arrivals, Broadband services, Variable service capacity, and Restoration.

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