Abstract
The concept of weak regeneration is used for the simulation of queueing processes. Point and interval estimation is considered.
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References
S. Asmussen,Applied Probability and Queues, Wiley, New York (1987).
A. A. Borovkov,Asymptotic Methods in Queueing Theory, Wiley, New York (1984).
I. A. Ibragimov, “A note on the central limit theorem for dependent random variables”,Teor. Veroyatn. Primen.,20, 135–141 (1975).
D. L. Iglehart and G. S. Shedler,Regenerative Simulation of Response Times in Networks of Queues, Springer-Verlag, Berlin (1980).
V. V. Kalashnikov,Topics on Regenerative Processes, CRC Press, Boca Raton (1994).
E. V. Morozov, “Wide sense regenerative processes with applications to multi-channel queues and networks”,Acta Appl. Math.,34, 189–212 (1994).
E. V. Morozov, “An extended regenerative structure and queueing network simulation,” in:Scientific Report, No. 1995-08/ISSN 0347-2809, Chalmers Univ. Press, Goteborg, Sweden (1995).
M. Peligrad, “On the central limit theorem for ρ-mixing sequences of random variables,”Ann. Probab.,15, No. 4, 1387–1394 (1987).
G. S. Shedler,Regeneration and Networks of Queues, Springer-Verlag, New-York (1987).
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Supported by INTAS (grant No. 93-0893).
Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I.
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Morozov, E.V., Sigovtsev, S.G. Simulation of queueing processes based on weak regeneration. J Math Sci 89, 1517–1523 (1998). https://doi.org/10.1007/BF02362286
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DOI: https://doi.org/10.1007/BF02362286