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2018 | OriginalPaper | Buchkapitel

28. On Sensitivity of Steady-State Probabilities of a Cold Redundant System to the Shapes of Life and Repair Time Distributions of Its Elements

verfasst von : Vladimir Rykov, Dmitry Kozyrev

Erschienen in: Statistics and Simulation

Verlag: Springer International Publishing

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Abstract

The problem of sensitivity of a redundant system’s reliability characteristics to shapes of their input distributions is considered. In Efrosinin and Rykov, Information Technologies and Mathematical Modelling, 2014, [1] an analytical form for dependence of a two-unit cold standby redundant system reliability characteristics on life and repair time input distributions was obtained and investigated for the case of exponential distribution of one of the time lengths. In the current chapter this study is extended with the help of simulation method to a general case of both non-exponential distributions. Comparison of analytic and simulation results was carried out.

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Literatur
1.
Zurück zum Zitat Efrosinin, D., Rykov, V.: Sensitivity analysis of reliability characteristics to the shape of the life and repair time distributions. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds.) Information Technologies and Mathematical Modelling. (Proceedings of 13th International Scientific Conference ITMM 2014 named after A.F. Terpugov, Anzhero-Sudzhensk, Russia, 20–22 Nov 2014.) Communication in Computer and Information Science, vol. 487, pp. 101–112MATH Efrosinin, D., Rykov, V.: Sensitivity analysis of reliability characteristics to the shape of the life and repair time distributions. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds.) Information Technologies and Mathematical Modelling. (Proceedings of 13th International Scientific Conference ITMM 2014 named after A.F. Terpugov, Anzhero-Sudzhensk, Russia, 20–22 Nov 2014.) Communication in Computer and Information Science, vol. 487, pp. 101–112MATH
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Metadaten
Titel
On Sensitivity of Steady-State Probabilities of a Cold Redundant System to the Shapes of Life and Repair Time Distributions of Its Elements
verfasst von
Vladimir Rykov
Dmitry Kozyrev
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-76035-3_28