Nonergodicity of a queueing system with a nonstable fluid model

Problemy Peredachi Informatsii

Volumn 36, Issue 1, 2000, Pages 26-47

  Pukhalskii, A A ^a   Rybko, A N ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949731625     PISSN: 05552923     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Russion source
2. Dai J.G. On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach via Fluid Models // Ann. Appl. Probability. 1995. V. 5. P. 49-77.
3. Stolyar A. On the Stability of Multiclass Queueing Networks: A Relaxed Sufficient Condition via Limiting Fluid Processes // Markov Proc. Rel. Fields. 1995. V. 1. No 4. P. 491- 512.
4. Bramson M. Instability of FIFO Queueing Networks // Ann. Appl. Probability. 1994. V. 4. P. 414-431.
5. Bramson M. Instability of FIFO Queueing Networks with Quick Service Times // Ann. Appl. Probability. 1994. V. 4. P. 693-718.
6. Kumar P.R., Seidman T. Dynamic Instabilities and Stabilization Methods in Distributed Real-Time Scheduling of Manufacturing Systems // IEEE Trans. Automat. Control. 1990. V. 35. No 3. P. 289-290.
7. Meyn S.P. Transience of Multiclass Queueing Networks and Their Fluid Models // Ann. Appl. Probability. 1995. V. 5. P. 946-957.
8. Russion source
9. Varadhan S.R.S. Large deviations and applications. Philadelphia: SIAM, 1984.
10. Puhalskii A. On functional principle of large deviations // New Trends in Probability and Statistics. Utrecht: VSP/Moks'las, 1991. V. 1. P. 198-218.
11. Puhalskii A. Large Deviation Analysis of the Single Server Queue // Queueing Systems. 1995. V. 21. P. 5-66; erratum: 1996. V. 23. P. 337.
12. Puhalskii A., Whitt W. Functional Large Deviation Principles for First-Passage-Time Processes // Ann. Appl. Probability. 1997. V. 7. No 2. P. 362-381.
13. Deuschel J.D., Stroock D.W. Large deviations. New York: Academic Press, 1989.
14. Russion source
15. Russion source
16. Lindvall T. Weak Convergence of Probability Measures and Random Functions in the Function Space D [0, ∞) // J. of Appl. Probability. 1973. V. 10. P. 109-121.
17. Russion source.
18. Ethier S.N., Kurtz T.G. Markov processes: Characterization and convergence. New York: Wiley, 1986.
19. Malyshev A.V. Networks and Dynamical Systems // Adv. Appl. Probability. 1993. V. 25. P. 140-175.