A limit theorem for stochastic networks and its applications

Author:
E. O. Lebedev

Translated by:
V. Semenov

Original publication:
Teoriya Imovirnostei ta Matematichna Statistika, tom **68** (2003).

Journal:
Theor. Probability and Math. Statist. **68** (2004), 81-92

MSC (2000):
Primary 60A25

DOI:
https://doi.org/10.1090/S0094-9000-04-00606-4

Published electronically:
June 10, 2004

MathSciNet review:
2000397

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A service process in an overloaded regime for multichannel stochastic networks is considered. A general functional limit theorem is proved, and the properties of the limit process are studied. An application of the approximation obtained is given for the case of networks with a semi-Markov input.

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Additional Information

**E. O. Lebedev**

Affiliation:
Department of Applied Statistics, Faculty for Cybernetics, Kyiv National Taras Shevchenko University, Academician Glushkov Avenue 4, Kyiv–127 03127, Ukraine

Email:
leb@unicyb.kiev.ua

DOI:
https://doi.org/10.1090/S0094-9000-04-00606-4

Received by editor(s):
December 10, 2001

Published electronically:
June 10, 2004

Article copyright:
© Copyright 2004
American Mathematical Society