title: Factorized time-dependent distributions for certain multiclass queueing networks and an application to enzymatic processing networks.
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.
authors.affiliation: BioCircuits Institute, University of California, San Diego, USA.
authors.forename: W H
authors.initials: WH
authors.lastname: Mather
authors.affiliation: BioCircuits Institute, University of California, San Diego, USA.
authors.forename: J
authors.initials: J
authors.lastname: Hasty
authors.affiliation: BioCircuits Institute, University of California, San Diego, USA.
authors.forename: L S
authors.initials: LS
authors.lastname: Tsimring
authors.affiliation: BioCircuits Institute, University of California, San Diego, USA.
authors.forename: R J
authors.initials: RJ
authors.lastname: Williams
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