Literature DB >> 24596432

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

W H Mather1, J Hasty1, L S Tsimring1, R J Williams1.   

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.

Entities:  

Keywords:  Correlation; Dimension reduction; Enzymatic processing; Homogeneous Kelly-type stations; Intracellular networks; Multiclass queueing network; Product form; Reneging; State-dependent routing; State-space collapse; Stationary distribution; Ultrasensitivity of signal propagation

Year:  2011        PMID: 24596432      PMCID: PMC3939083          DOI: 10.1007/s11134-011-9216-3

Source DB:  PubMed          Journal:  Queueing Syst        ISSN: 0257-0130            Impact factor:   1.216


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