Evaluating the Performance and Robustness of PIR and QIR Maintenance strategies Using Monte Carlo Method

Evaluating the Performance and Robustness of PIR and QIR Maintenance strategies Using Monte Carlo Method | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Evaluating the Performance and Robustness of PIR and QIR Maintenance strategies Using Monte Carlo Method Khamiss Cheikh, EL Mostapha Boudi, Rabi Rabi, Hamza Mokhliss This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4004821/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In the literature, maintenance plan efficacy is often assessed based on the long-term predicted maintenance cost rate, indicating a performance-centric approach. However, this criteria doesn't account for the fluctuation in maintenance costs over renewal cycles, and typical solutions may not be adequate from a risk management standpoint, a robustness viewpoint. This study tries to rethink standard solutions considering both performance and robustness, and thus, offer more suitable maintenance options.Specifically, using the long-term expected maintenance cost rate as the performance metric and the variance of maintenance cost per renewal cycle as the robustness metric, the study examines two representatives of time-based and condition-based maintenance approaches: a block replacement strategy and a periodic inspection and replacement strategy. Mathematical cost models are created based on the homogeneous Gamma degradation process and probability theory.Comparative study of both maintenance techniques demonstrates that the higher-performing approach carries a larger amount of risk. Consequently, a full examination of both performance and resilience is required in selecting a more dependent maintenance option. These maintenance solutions, together with the employment of the Monte Carlo Method, are contrasted against each other using a unique criteria that analyzes the degree of performance and robustness of each adaptation in maintenance decision-making. Optimization robustness condition-based maintenance periodic inspection quantile-based inspection renewal process Monte Carlo Method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4004821","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":279767887,"identity":"6f73ccdf-1b5f-4dde-8703-72d82ec6f6db","order_by":0,"name":"Khamiss Cheikh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBklEQVRIie3Qv0oDMRzA8d9x4Oqa49S+QkQoFGx9lYSDdjlwEydNOchU95Z7BsEuwTHhoC5F10g6KOLeLnKgQ5Oq4JIebh3yHUIC+ZA/AKHQDoaQHchmBqCG7BSgJf9H+ptJM4EfEg1Z1UySsni/e/m6gv2yUGpy/0RvSxYtaxAtH0kPZm1NeQVoMSNqOjdULGScjMAcMw85QsQSJgGjHKtXbokkkAKYyE8GH5rYi2F0vrTk0ZH405IzH0lR3tZkL3angJpySYVdulOojyTj/OL7LbqP1YRnJ2KueGeETeYjSA/Ec+1+bJy9rW5471A8FJWuL03XR367/rPBPRw37A+FQqHQ1tbTJGb7gdcUMQAAAABJRU5ErkJggg==","orcid":"","institution":"Mohammadia School of Engineers, Mohammed V University","correspondingAuthor":true,"prefix":"","firstName":"Khamiss","middleName":"","lastName":"Cheikh","suffix":""},{"id":279767888,"identity":"c4cdddd0-f5a0-46ba-b2a2-6164713c4d01","order_by":1,"name":"EL Mostapha Boudi","email":"","orcid":"","institution":"Mohammadia School of Engineers, Mohammed V University","correspondingAuthor":false,"prefix":"","firstName":"EL","middleName":"Mostapha","lastName":"Boudi","suffix":""},{"id":279767889,"identity":"0f251b6f-20e0-419a-9587-27c619090937","order_by":2,"name":"Rabi Rabi","email":"","orcid":"","institution":"Sultan Moulay Sliman University","correspondingAuthor":false,"prefix":"","firstName":"Rabi","middleName":"","lastName":"Rabi","suffix":""},{"id":279767890,"identity":"eee7b6c2-383f-42a6-a4e9-0b45c8d1c420","order_by":3,"name":"Hamza Mokhliss","email":"","orcid":"","institution":"Chouaib Doukkali University","correspondingAuthor":false,"prefix":"","firstName":"Hamza","middleName":"","lastName":"Mokhliss","suffix":""}],"badges":[],"createdAt":"2024-03-01 23:19:34","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4004821/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4004821/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":52920475,"identity":"e94cf346-a910-4046-bcd4-27a20d460bf5","added_by":"auto","created_at":"2024-03-18 17:16:43","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":834594,"visible":true,"origin":"","legend":"","description":"","filename":"mainmanuscriptwithFiguresandTables.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4004821/v1_covered_169b41a1-83db-42f4-b613-41a6a36b296a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Evaluating the Performance and Robustness of PIR and QIR Maintenance strategies Using Monte Carlo Method","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Optimization, robustness, condition-based maintenance, periodic inspection, quantile-based inspection, renewal process, Monte Carlo Method","lastPublishedDoi":"10.21203/rs.3.rs-4004821/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4004821/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn the literature, maintenance plan efficacy is often assessed based on the long-term predicted maintenance cost rate, indicating a performance-centric approach. 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