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A limit theorem for stochastic networks and its applications
Author(s):
E.
O.
Lebedev
Translated by:
V. Semenov
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 68
(2003).
Journal:
Theor. Probability and Math. Statist.
No. 68
(2004),
81-92.
MSC (2000):
Primary 60A25
Posted:
June 10, 2004
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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.
References:
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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:
10.1090/S0094-9000-04-00606-4
PII:
S 0094-9000(04)00606-4
Received by editor(s):
10/DEC/2001
Posted:
June 10, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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