Smoothing Effect of the Superposition of Homogeneous Sources in Tandem Networks - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports Year : 1999

Smoothing Effect of the Superposition of Homogeneous Sources in Tandem Networks

Abstract

We analyze the smoothing effect of superposing homogeneous sources in a network. We consider a tandem queueing network representing the nodes that customers generated by these sources pass through. The servers in the tandem queues have different time varying service rates. In between the tandem queues there are propagation delays. We show that for arbitrary arrival and service processes which are mutually independent, the sum of unfinished works in the tandem queues is monotone in the number of homogeneous sources in the increasing convex order sense, provided the total intensity of the foreground traffic is constant. The results hold for both fluid and discrete traffic models.
Fichier principal
Vignette du fichier
RR-3839.pdf (242.18 Ko) Télécharger le fichier

Dates and versions

inria-00072818 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072818 , version 1

Cite

Arie Hordijk, Zhen Liu, Don Towsley. Smoothing Effect of the Superposition of Homogeneous Sources in Tandem Networks. RR-3839, INRIA. 1999. ⟨inria-00072818⟩
69 View
159 Download

Share

Gmail Facebook Twitter LinkedIn More