R. R. Mazumdar

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Efficient (Pareto optimal) flow control in a multiclass telecommunications environment is analysed. Several classes of users compete for the resources provided by an exponential server, using power as their performance criterion. The necessary and sufficient conditions that the throughputs of the different classes have to satisfy are presented. Relations(More)
The issues pertaining to capacity, fairness, and energy efficiency are central to all wireless networks, including wireless sensor and mesh networks. In this paper, we consider hybrid sensor and mesh networks as paradigms for fair and energy efficient communication. A hybrid network consists of sensor or mesh nodes with wireless communication capability and(More)
With the power as the performance criterion, a game-theoretical approach is proposed and analyzed. A network or system optimization solution leads to a Pareto optimal point. In a user or individual optimization setting the Nash and the Stackelberg equilibria are found. A decentralized and easily implementable algorithm is proved to converge to the Nash(More)
We consider the problem of determining asymptotic bounds on the capacity of a random <i>ad</i> <i>hoc</i> network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the signal to interference and noise ratio (SINR) is above a certain threshold, then the transmitted packet is(More)
We consider state-dependent queueing networks in the heavy-traffic diffusion limit. Specifically, we consider queue length processes jointly satisfying a reflecting stochastic differential equation in the non-negative orthant with state-dependent drift vector and state-dependent diffusion and reflection matrices. Such state-dependence arises in queueing(More)
Wireless sensor network are produced without using a fixed network infrastructure with the help of small sensor nodes communicating over wireless links. Wireless sensor network (WSN) is a group of three kinds of nodes: sensor node, and sink node, etc . Energy sources and communication is performed via wireless medium and every node has a limited processing(More)
We study the problem of joint congestion control and scheduling in wireless networks. We model the wireless network as a directed graph G=(V, E), where V denotes the set of nodes and E denotes the set of wireless links between the nodes. We propose a joint congestion control and scheduling scheme that achieves a fraction d<sub>1</sub>(G) of the capacity(More)
It is known that opportunistic scheduling that accounts for channel variations due to mobility and fading can give substantial improvement over nonopportunistic schemes. However, most work on this subject has focused on single-hop cellular types of architectures. The situation is quite different in ad hoc networks due to the inherent multihop nature of(More)
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(More)