| Literature DB >> 24596432 |
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