Optimizing repair/replacement policy if cumulative distribution function of time-to-repair is rational function

• Autorzy: Malinowski Jacek

Identyfikatory

DOI

10.26408/srsp-2023-11

• Konferencja: 17th Summer Safety & Reliability Seminars - SSARS 2023, 9-14 July 2023, Kraków, Poland
• Języki publikacji: EN

Abstrakty

EN

A problem of finding the optimal repair/replacement policy of a technical object is under investigation. Depending on the distribution of the time-to-repair and certain cost parameters, a decision is taken whether to repair a failed object or replace it immediately after it fails. If a repair is chosen and it is not completed within a certain period, it is interrupted and the object is replaced by a new one. The optimization task consists in formulating the conditions for choosing between immediate replacement and repair, and deriving the analytical equation for the maximum duration of a repair. The objective function is the expected cost of restoring the object to the operating condition. It is assumed that the cumulative distribution function (CDF) of the time-to-repair is a rational function (a quotient of polynomials). The properties of such CDFs are analyzed and the solutions of several optimization tasks with different CDFs that are rational functions are presented. The issue of fitting the time-to-repair distribution to empirical data is also addressed.

Słowa kluczowe

EN

repair policy; replacement policy; time-to-repair; cumulative distribution function; rational function; optimization; distribution fitting

• Wydawca: Gdynia Maritime University ; Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Safety and Reliability of Systems and Processes
• Rocznik: 2023
• Tom: Summer Safety and Reliability Seminar 2023
• Strony: 147--156
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Malinowski Jacek

• Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

• https://orcid.org/0000-0002-4413-1868

Bibliografia

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• Nakagawa, T. 2005. Maintenance Theory of Reliability. Springer Series in Reliability Engineering. Springer-Verlag, London.
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• Rebaiaia, M.L. & Ait-kadi, D. 2021. Maintenance policies with minimal repair and replacement on failures: analysis and comparison. International Journal of Production Research 59(23), 6995-7017.
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• Tadj, L., Ouali, M.-S., Yacout, S. & Ait-Kadi, D. 2011. Replacement Models with Minimal Repair. Springer Series in Reliability Engineering. Springer-Verlag, London - Dordrecht - Heidelberg - New York.
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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).