Renewable k -Out-of- n System with the Component-Wise Strategy of Preventive System Maintenance

Vladimir Rykov, Olga Kochueva () and Elvira Zaripova
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Vladimir Rykov: Department of Applied Mathematics and Computer Modeling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
Olga Kochueva: Department of Applied Mathematics and Computer Modeling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
Elvira Zaripova: Department of Natural Sciences, Moscow University of the Ministry of Internal Affairs of the Russian Federation Named after V. J. Kikot, Russia, St. Academician Volgin, 12, 117437 Moscow, Russia

Mathematics, 2023, vol. 11, issue 9, 1-21

Abstract: At the SMARTY-22 conference, a review of the regenerative methods development was presented, including its application to the study of a non-renewable k -out-of- n system. This paper develops the previous study for the renewable k -out-of- n system, including an investigation different preventive maintenance strategies based on the system state observation. We also include the review of Smith’s regeneration idea development. Some new results are presented that form the basis for an algorithm for comparing preventing maintenance strategies with respect to the maximization of the availability factor. A numerical study was conducted for the 4-out-of-6 and 4-out-of-8 models. The study demonstrates the sensitivity of decision making to the shape of the repair time distribution.

Keywords: regenerative process; decomposable semi-regenerative processes; renewable k-out-of-n system; preventive maintenance strategies; system availability factor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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