Paper Info
Title
State space collapse and stability of queueing networks
Abstract
We study the stability of subcritical multi-class queueing networks with feedback allowed and a work-conserving head-of-the-line service discipline. Assuming that the fluid limit model associated to the queueing network satisfies a state space collapse condition, we show that the queueing network is stable provided that any solution of an associated linear Skorokhod problem is attracted to the origin in finite time. We also give sufficient conditions ensuring this attraction in terms of the reflection matrix of the Skorokhod problem, by using an adequate Lyapunov function. State space collapse establishes that the fluid limit of the queue process can be expressed in terms of the fluid limit of the workload process by means of a lifting matrix.
Year
DOI
Venue
2010
10.1007/s00186-010-0329-y
Math. Meth. of OR
Keywords
Field
DocType
fluid limit model · lyapunov function · queueing network · skorokhod problem · stability · state space collapse,lyapunov function,satisfiability,stability
Lyapunov function,Fluid limit,Mathematical optimization,Matrix (mathematics),Queue,Layered queueing network,Queueing theory,Transformation matrix,State space,Mathematics
Journal
Volume
Issue
ISSN
72
3
1432-2994
Citations 
PageRank 
References 
0
0.34
8
Authors
1
Name
Order
Citations
PageRank
Rosario Delgado163.89