Надійність системи з резервуванням, послідовним з'єднанням елементів і пороговими стратегіями відновлення / Жерновий Ю. В. (2021)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2021, 57 (4))

Zhernovyi Y.V.
Reliability of a series system with redundancy and threshold recovery strategies

We propose a method for studying the reliability of series systems with redundancy and recovery strategies, which provide for a change in the repair intensity depending on the number of failed units. The case of the exponential distribution of the time to failure of units, the non-exponential distribution of the recovery time, and one repair channel are considered. Formulas for determining Laplace transforms of the distribution of the number of failed units during the busy period of the repair channel and of the distribution functions of the busy period and to calculate the stationary indices are obtained. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: method of potentials, recoverable system, redundancy, reliability, series system, Distribution functions, Failure analysis, Laplace transforms, Recovery, Repair, Busy period, Exponential distributions, Recovery strategies, Recovery time, Series system, Redundancy


Cite:
Zhernovyi Y.V. (2021). Reliability of a series system with redundancy and threshold recovery strategies. Cybernetics and Systems Analysis, 57 (4), 146–154. doi: https://doi.org/10.1007/s10559-021-00388-0 http://jnas.nbuv.gov.ua/article/UJRN-0001254219 [In Ukrainian].


 

Інститут інформаційних технологій НБУВ


+38 (044) 525-36-24
Голосіївський просп., 3, к. 209
м. Київ, 03039, Україна