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Heavy-traffic analysis of a multiple-phase network with discriminatory processor sharing
 

Summary: Heavy-traffic analysis of a multiple-phase network with
discriminatory processor sharing
I.M. Verloopa,b
, U. Ayestaa,c,
, R. N´u~nez-Queijab,d
a
BCAM - Basque Center for Applied Mathematics,
Bizkaia Technology Park, 48170 Derio, Spain
b
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
c
IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
d
University of Amsterdam, Roetersstraat 11, 1018 WB, The Netherlands
Abstract
We analyze a generalization of the Discriminatory Processor Sharing (DPS) queue in a heavy-
traffic setting. Customers present in the system are served simultaneously at rates controlled by a
vector of weights. We assume that customers have phase-type distributed service requirements and
allow that customers have different weights in various phases of their service.
In our main result we establish a state-space collapse for the queue length vector in heavy traf-

  

Source: Ayesta, Urtzi - Laboratoire d'Analyse et d'Architecture des Systèmes du CNRS

 

Collections: Engineering