Large deviations of the sojourn time for queues in series

Annals of Operations Research

Volumn 79, Issue , 1998, Pages 3-26

  Ganesh, A J ^a  

^a UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Large deviations; Tandem queues

Indexed keywords

EID: 0032393557     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/a:1018930907280     Document Type: Article

References (12)

1. V. Anantharam, How large delays build up in a GI/G/1 queue, Queueing Systems 5(1989)345-367.
2. D. Bertsimas, I. Paschalidis and J. Tsitsiklis, On the large deviations behaviour of acyclic networks of G/G/1 queues, to appear in Annals of Applied Probability.
3. C.S. Chang, Sample path large deviations and intree networks, Queueing Systems 20(1995)7-36.
4. G. de Veciana and J. Walrand, Effective bandwidths: Call admission, traffic policing and filtering for ATM networks, Queueing Systems 20(1995)37-59.
5. A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications, Jones and Bartlett, 1993.
6. A. Ganesh and V. Anantharam, Stationary tail probabilities in exponential server tandems with renewal arrivals, Queueing Systems 22(1996)203-247.
7. F.P. Kelly, Reversibility and Stochastic Networks, Wiley, 1979.
8. G. Kesidis, J. Walrand and C.S. Chang, Effective bandwidths for multiclass Markov fluids and other ATM sources, IEEE/ACM Trans, on Networking 1(1993)424-428.
9. R.M. Loynes, The stability of queues with non-independent inter-arrival and service times, Proceedings of the Cambridge Philosophical Society 58(1962)497-520.
10. M.F. Neuts, Matrix-Geometric Solutions in Stochastic Models, Johns Hopkins, 1981.
11. R.T. Rockafellar, Conjugate Duality and Optimization, Society of Industrial and Applied Mathematics, 1974.
12. J. Walrand, An Introduction to Queueing Networks, Prentice-Hall, 1988.