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Theory of Probability and Mathematical Statistics

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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
Published electronically: June 10, 2004
MathSciNet review: 2000397
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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

Received by editor(s): December 10, 2001
Published electronically: June 10, 2004
Article copyright: © Copyright 2004 American Mathematical Society