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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DOI:
10.1007/s11134-011-9216-3
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发表时间:
2011-12
期刊:
影响因子:
1.2
通讯作者:
Williams, R. J.
Williams, R. J.
中科院分区:
工程技术3区
文献类型:
--
作者:
Mather, W. H.;Hasty, J.;Tsimring, L. S.;Williams, R. J.

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受生物系统中应用的启发,对于某些多类排队网络,我们证明了多类排队长度的时间依赖分布可以具有因子分解形式,从而将这种分布的计算问题归结为相关单类排队网络的类似问题。我们给出了这一结果在一个酶加工网络中的应用实例。
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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