Preventive Maintenance of the k -out-of- n System with Respect to Cost-Type Criterion

Vladimir Rykov, Olga Kochueva and Yaroslav Rykov
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Vladimir Rykov: Department Applied Mathematics and Computer Modelling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
Olga Kochueva: Department Applied Mathematics and Computer Modelling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
Yaroslav Rykov: V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuiznaya 65, 117997 Moscow, Russia

Mathematics, 2021, vol. 9, issue 21, 1-15

Abstract: In a previous paper, the problem of how the preventive maintenance organization for the k -out-of- n : F system could be used, in order to maximize system availability, was considered. The current paper continues these investigations using a different optimization criterion. The proposed approach is based on decision making theory for regenerative processes. We propose a general procedure for comparing different preventive maintenance strategies based on the ordered statistics distributions, aiming to choose the best one with respect to cost-type criterion. The lifetime distributions of system units are usually unknown and only one or two of their moments are available. For this reason, we pay special attention to the sensitivity analysis of decision making about preventive maintenance, taking into account the shape of the system unit lifetime distributions. A numerical study of two examples based on a real-world system illustrates the results of the proposed approach.

Keywords: k -out-of- n : F system; preventive maintenance; cost-type optimization criterion; reliability function; lifetime distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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