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Heavy-traffic analysis of the M/PH/1 discriminatory processor sharing queue with phase-dependent weights
 

Summary: Heavy-traffic analysis of the M/PH/1 discriminatory
processor sharing queue with phase-dependent weights
I.M. Verloopa
, U. Ayestab,c
, R. Núñez-Queijaa,d
a
CWI, Amsterdam, The Netherlands
b
BCAM - Basque Center for Applied Mathematics, Derio, Spain
c
LAAS-CNRS, Université de Toulouse, France
d
University of Amsterdam, 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 con-
trolled by a vector of weights. We assume phase-type dis-
tributed service requirements and allow that customers have
different weights in various phases of their service.

  

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

 

Collections: Engineering