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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2020 Volume 23, Issue 1, Pages 145–160 (Mi fpm1871)

This article is cited in 2 papers

On the exponential convergence rate of the distribution for some nonregenerative reliability system

G. A. Zverkinaab

a V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia
b Moscow State University of Railway Engineering (MIIT), Moscow, Russia

Abstract: Exponential upper bounds for the convergence rate of the distribution of restorable element with partially energized standby redundancy are found, in the case where all working and repair times are bounded by an exponential random variable (upper and lower), and working and repair times can be dependent. The convergence rate of the availability factor is estimated.

UDC: 519.21


 English version:
Journal of Mathematical Sciences (New York), 2022, 262:4, 493–503


© Steklov Math. Inst. of RAS, 2025