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
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;
Conference_Titel :
Signal Processing and Communications (SPCOM), 2010 International Conference on
Conference_Location :
Bangalore
Print_ISBN :
978-1-4244-7137-9
DOI :
10.1109/SPCOM.2010.5560466
