Factorized time‐dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks

Factorized time‐dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks

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Article ID: iaor201113502
Volume: 69
Issue: 3
Start Page Number: 313
End Page Number: 328
Publication Date: Dec 2011
Journal: Queueing Systems
Authors: , , ,
Keywords: queues: applications
Abstract:

Motivated by applications in biological systems, we show for certain multiclass queueing networks that time‐dependent distributions for the multiclass queue‐lengths can have a factorized form which reduces the problem of computing such distributions to a similar problem for related single‐class queueing networks. We give an example of the application of this result to an enzymatic processing network.

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