2 papers
cs.NI2010
A note on the stability of multiclass Markovian queueing networks
Sayee C. Kompalli, Ravi R. Mazumdar
In this paper we show that in a multiclass Markovian network with unit rate servers, the condition that the average load at every server is less than unity is indeed sufficient…
cs.IT2009
On a Generalized Foster-Lyapunov Type Criterion for the Stability of Multidimensional Markov chains with Applications to the Slotted-Aloha Protocol with Finite Number of Queues
Sayee C. Kompalli, Ravi R. Mazumdar
In this paper, we generalize a positive recurrence criterion for multidimensional discrete-time Markov chains over countable state spaces due to Rosberg (JAP, Vol. 17, No. 3, 1980)…