Stochastic Network Theory

Fixed Point Theorems

A.J. Ganesh, N. O'Connell, B. Prabhakar, "A large deviations characterization of the fixed point of a queue," Annals of Applied Probability, to appear.
J. Mairesse, B. Prabhakar, "On the existence of fixed points for the ./GI/1 queueing operator," Annals of Probability, to appear.
B. Prabhakar, "The attractiveness of fixed points for the ./GI/1 queueing operator," Annals of Probability, to appear.
T.S. Mountford, B. Prabhakar, "The Cesaro limit of departures from certain */GI/1 queueing tandems," F.P. Kelly, S. Zachary and I. Ziedins, editors, Stochastic Networks: Theory and Applications, 4:309-322, Royal Statistical Society Lecture Note Series, Clarendon Press, Oxford, 1996.
B. Prabhakar, T.S. Mountford, N. Bambos, "Convergence of departures in tandem networks of */GI/infinity queues," Probability in the Engineering and Informational Sciences, 10:487-500, 1996.
T.S. Mountford, B. Prabhakar, "On the weak convergence of departures from an infinite series of ./M/1 queues," Annals of Applied Probability, 5(1):121-127, 1995.


Entropy in Queueing Theory

B. Prabhakar, R. Gallager, "Entropy and the timing of discrete queues," IEEE Transactions on Information Theory, to appear.
C. Nair, B. Prabhakar, D. Shah, "The randomness in randomized load balancing," Proceedings of the 39th Annual Allerton Conference on Communication, Control and Computing, pp.912-921, October 2001.
B. Prabhakar, N. Bambos, "Entropy methods for high speed communications," Proceedings of the Conference on Information Science and Systems, pp.448-453, Baltimore, Maryland, 1995.


Other Stochastic Network Theory

B. Prabhakar, N. Bambos, T.S. Mountford, "The synchronization of Poisson processes and queueing networks with service and synchronization nodes," Advances in Applied Probability, 32:824-843, 2000.
B. Prabhakar, N. Bambos, "On a singular feature of critical G/M/1 queues," Systems and Control Letters, 28(5):239-245, September 1996.
N. Bambos, B. Prabhakar, "On infinite queueing tandems," Systems & Control Letters, 23(4):305-314, 1994.