Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion

In a previous paper, the problem of how the preventive maintenance organization for the <i>k</i>-out-of-<i>n</i>: <i>F</i> system could be used, in order to maximize system availability, was considered. The current paper continues these investigations using a diff...

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Autores principales: Vladimir Rykov, Olga Kochueva, Yaroslav Rykov
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/2837e0447cfe481694db75bb906145ff
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spelling oai:doaj.org-article:2837e0447cfe481694db75bb906145ff2021-11-11T18:19:58ZPreventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion10.3390/math92127982227-7390https://doaj.org/article/2837e0447cfe481694db75bb906145ff2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2798https://doaj.org/toc/2227-7390In a previous paper, the problem of how the preventive maintenance organization for the <i>k</i>-out-of-<i>n</i>: <i>F</i> 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.Vladimir RykovOlga KochuevaYaroslav RykovMDPI AGarticle<i>k</i>-out-of-<i>n</i>: <i>F</i> systempreventive maintenancecost-type optimization criterionreliability functionlifetime distributionMathematicsQA1-939ENMathematics, Vol 9, Iss 2798, p 2798 (2021)
institution DOAJ
collection DOAJ
language EN
topic <i>k</i>-out-of-<i>n</i>: <i>F</i> system
preventive maintenance
cost-type optimization criterion
reliability function
lifetime distribution
Mathematics
QA1-939
spellingShingle <i>k</i>-out-of-<i>n</i>: <i>F</i> system
preventive maintenance
cost-type optimization criterion
reliability function
lifetime distribution
Mathematics
QA1-939
Vladimir Rykov
Olga Kochueva
Yaroslav Rykov
Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
description In a previous paper, the problem of how the preventive maintenance organization for the <i>k</i>-out-of-<i>n</i>: <i>F</i> 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.
format article
author Vladimir Rykov
Olga Kochueva
Yaroslav Rykov
author_facet Vladimir Rykov
Olga Kochueva
Yaroslav Rykov
author_sort Vladimir Rykov
title Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
title_short Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
title_full Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
title_fullStr Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
title_full_unstemmed Preventive Maintenance of the <i>k</i>-out-of-<i>n</i> System with Respect to Cost-Type Criterion
title_sort preventive maintenance of the <i>k</i>-out-of-<i>n</i> system with respect to cost-type criterion
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/2837e0447cfe481694db75bb906145ff
work_keys_str_mv AT vladimirrykov preventivemaintenanceoftheikioutofinisystemwithrespecttocosttypecriterion
AT olgakochueva preventivemaintenanceoftheikioutofinisystemwithrespecttocosttypecriterion
AT yaroslavrykov preventivemaintenanceoftheikioutofinisystemwithrespecttocosttypecriterion
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