Markov-modulated feedforward fluid networks

Queueing Systems

Volumn 37, Issue 1-3, 2001, Pages 141-161

  Kella, Offer ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Feedforward; Fluid network; Markov modulated; Martingale; Tandem

Indexed keywords

LINEAR ALGEBRA; MARKOV CHAINS; MATHEMATICAL TRANSFORMATIONS; STATE ESTIMATION;

FEED-FORWARD; FLUID NETWORK; MARKOV-MODULATED; MARTINGALE; TANDEM;

FEEDFORWARD NEURAL NETWORKS;

EID: 0035533325     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1011096201765     Document Type: Article

References (18)

1. D. Anick, D. Mitra and M.M. Sondhi, Stochastic theory of a data handling system with multiple sources, Bell System Tech. J. 61 (1982) 1871-1894.
2. S. Asmussen, Stationary distributions for fluid flow models with or without brownian noise, Stochastic Models 11 (1995) 21-49.
3. S. Asmussen and O. Kella, A multi-dimensional martingale for Markov additive processes and its applications. Adv. in Appl. Probab. 32 (2000) 376-393.
4. M.T. Barlow. L.C.G. Rogers and D. Williams, Wiener-Hopf factorization for matrices, in: Séminaire de Probabilités XIV, Lecture Notes in Mathematics, Vol. 784 (Springer, Berlin, 1980) pp. 324-331.
5. A. Berman and R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences (SIAM, Philadelphia, 1994).
6. H. Chen and A. Mandelbaum, Leontief systems, RBV's and RBM's, in: Proc. Imperial College Workshop on Applied Stochastic Processes, eds. M.H.A. Davis and R.J. Elliott (Gordon and Breach, New York, 1991).
7. H. Glickman, Stochastic fluid networks, M.Sc. thesis, Dept. of Statistics, The Hebrew University of Jerusalem (1993).
8. J.M. Harrison and M.I. Reiman, Reflected Brownian motion on an orthant, Ann. Probab. 9 (1981) 302-308.
9. O. Kella, Parallel and tandem fluid networks with dependent Lévy inputs, Ann. Appl. Probab. 3 (1993) 682-695.
10. O. Kella, Stability and nonproduct form of stochastic fluid networks with Lévy inputs, Ann. Appl. Probab. 6 (1996) 186-199.
11. O. Kella and W. Whitt, A storage model with a two-state random environment, Oper. Res. 40 (1992) 257-262.
12. O. Kella and W. Whitt, A tandem fluid network with Lévy input, in: Queueing and Related Models, eds. U.N. Bhat and I.V. Basawa (Oxford University Press, 1992) pp. 112-128.
13. O. Kella and W. Whitt, Stability and structural properties of stochastic storage networks, J. Appl. Probab. 33 (1996) 1169-1180.
14. D. Kroese and W. Scheinhardt, Joint distributions for interacting fluid queues, Queueing Systems (2000), to appear.
15. A. Pacheco and N.U. Prabhu, A Markovian storage model. Ann. Appl. Probab. 6 (1996) 76-91.
16. L.C.G. Rogers, Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains, Ann. Appl. Probab. 4 (1994) 390-413.
17. W. Scheinhardt, Markov-modulated and feedback fluid queues, Ph.D. dissertation. Faculty of Mathematical Sciences, University of Twente (1998).
18. T.E. Stern and A.I. Elwalid, Analysis of separable Markov-modulated rate models for information-handling systems, Adv. in Appl. Probab. 23 (1991) 105-139.