DocumentCode
1865709
Title
Some new results on the stability of Markovian stochastic network models
Author
Kompalli, Sayee Chakravartula ; Mazumdar, Ravi R.
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON, Canada
fYear
2010
fDate
18-21 July 2010
Firstpage
1
Lastpage
5
Abstract
In this paper we provide some new insights on the stability of some Markovian stochastic network models. More precisely we show how a variation of a positive recurrence criterion for multidimensional Markov chains due to Rosberg (JAP, Vol. 17, No. 3, 1980) can be developed to generalize the necessary and sufficient conditions for stability for multiclass Markovian networks with class independent routing and any work conserving service discipline. We also discuss the stability of a coupled processor model of interest in wireless networks.
Keywords
Markov processes; radio networks; stochastic processes; telecommunication network routing; Markovian stochastic network models stability; class independent routing; multidimensional Markov chains; positive recurrence criterion; wireless networks; Lyapunov method; Markov processes; Queueing analysis; Routing; Servers; Stability criteria;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Processing and Communications (SPCOM), 2010 International Conference on
Conference_Location
Bangalore
Print_ISBN
978-1-4244-7137-9
Type
conf
DOI
10.1109/SPCOM.2010.5560466
Filename
5560466
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