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On a redundant system with renewals


Authors: B. V. Dovgaĭ and I. K. Matsak
Translated by: N. Semenov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 94 (2016).
Journal: Theor. Probability and Math. Statist. 94 (2017), 63-76
MSC (2010): Primary 60K25, 90B22
DOI: https://doi.org/10.1090/tpms/1009
Published electronically: August 25, 2017
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Abstract | References | Similar Articles | Additional Information

Abstract: A two units redundant system with renewals of general type is considered. Stationary probabilities are found and the average duration of busy periods are established for the stationary regime.


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Additional Information

B. V. Dovgaĭ
Affiliation: Faculty for Computer Science and Cybernetics, National Taras Shevchenko University, Academician Glushkov Avenue, 4d, Kyiv 03680, Ukraine
Email: bogdov@gmail.com

I. K. Matsak
Affiliation: Faculty for Computer Science and Cybernetics, National Taras Shevchenko University, Academician Glushkov Avenue, 4d, Kyiv 03680, Ukraine
Email: ivanmatsak@univ.kiev.ua

DOI: https://doi.org/10.1090/tpms/1009
Keywords: Redundant system, limit theorems, stationary probabilities
Received by editor(s): April 11, 2016
Published electronically: August 25, 2017
Article copyright: © Copyright 2017 American Mathematical Society

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