4 papers
Exponential Stability and the Markus-Yamabe Conjecture in Compact Spaces
Ravi Mazumdar, Christopher Nielsen, Arpan Mukhopadhyay
In this note we show that if a continuous-time, nonlinear, time-invariant, finite-dimensional system evolves on a compact subset of Rn and if the Jacobian of the vector field is Hu…
On the number of active links in random wireless networks
Hengameh Keshavarz, Ravi R. Mazumdar, Rahul Roy +1
This paper presents results on the typical number of simultaneous point-to-point transmissions above a minimum rate that can be sustained in a network with transmitter-receiver…
Buffer occupancy asymptotics in rate proportional sharing networks with heterogeneous long-tailed inputs
Oczan Ozturk, Ravi R. Mazumdar, Nikolay B. Likhanov
In this paper, we consider a network of rate proportional processor sharing servers in which sessions with long-tailed duration arrive as Poisson processes. In particular, we assum…
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…