On the behavior of lifo preemptive resume queues in heavy traffic

Electronic Communications in Probability

Volumn 5, Issue , 2000, Pages 13-27

  Limic, Vlada ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34948849634     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v5-1014     Document Type: Article

References (16)

1. D.J. Aldous. The continuum random tree III. Ann. Probab., 21:248-289, 1993.
2. K.B. Athreya and P.E. Ney. Branching Processes. Springer-Verlag, New York-Heidelberg, 1972.
3. M. Bramson. State space collapse with application to heavy traffic limits for multiclass queueing networks. Queueing systems: Theory and Applications, 30:89-148, 1998.
4. J.G. Dai and T.G. Kurtz. A multiclass station with markovian feedback in heavy traffic. Mathematics of Operations Research, 20:721-741, 1995.
5. S.N. Ethier and T.G. Kurtz. Markov Processes: Characterization and Convergence. Wiley, New York, 1986.
6. W. Feller. An Introduction to Probability Theory and Its Applications, volume 2. Wiley, 1971.
7. J.F. Le Gall and Y. Le Jan. Branching processes in Levy processes: Laplace functionals of snakes and superprocesses. Ann. Probab., 26:1407-1432, 1998.
8. J.F. Le Gall and Y. Le Jan. Branching processes in Levy processes: The exploration process. Ann. Probab., 26:213-252, 1998.
9. T.E. Harris. First passage and recurrence distributions. Trans. Amer. Math. Soc, 73:471-486, 1974.
10. D.G. Kendall. Some problems in the theory of queues. J. Royal Statist. Soc., B 13:151-185, 1951.
11. V.F. Kolchin. Random Mappings. Optimisation Software, New York, 1986. (Transaltion of Russion original).
12. V. Limic. A LIFO queue in heavy traffic. Technical report, UC San Diego, 1999. Available at http://math.cornell.edu/'limic/.
13. N.U. Prabhu. Stochastic Storage Processes: Queues, Insurance Risk, Dams and Data Communication. Springer, Second edition, 1998.
14. M.I. Reiman. Some diffusion approximations with state space collapse. In Leture Notes in Contr. and Inf. Sci., volume 60, pages 209-240. Springer, Berlin-New York, 1984.
15. M.I. Reiman. A multiclass feedback queue in heavy traffic. Advances in Applied Probability, 20:179-207, 1988.
16. R.J. Williams. Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse. Queueing systems: Theory and Applications, 30:27-88, 1998.