{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T15:43:35Z","timestamp":1783093415201,"version":"3.54.6"},"reference-count":22,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T00:00:00Z","timestamp":1675728000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["72201013"],"award-info":[{"award-number":["72201013"]}]},{"name":"National Natural Science Foundation of China","award":["62073009"],"award-info":[{"award-number":["62073009"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72201013"],"award-info":[{"award-number":["72201013"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073009"],"award-info":[{"award-number":["62073009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>As a maintenance strategy to reduce unexpected failures and enable safe operation, condition-based maintenance (CBM) has been widely used in recent years. The maintenance decision criteria of CBM in the literature mostly originate from statistical failure data or degradation states, few of which can directly and effectively reflect the current state and analyze condition monitoring data, maintenance measures, and reliability together at the same time. In this paper, we introduce the performance margin as a decision criterion of CBM. We propose a condition-based maintenance optimization method using performance margin. Considering a CBM optimization problem for a degrading and periodically inspected component, a newly developed performance margin degradation model is established when three different maintenance measures become involved. Maintenance measure effect factors, maintenance decision vectors, and maintenance measure threshold vectors are developed to update the degradation model. And to build a maintenance optimization model, both cost and loss related to maintenance decision problems and reliability obtained by performance margin have been taken into consideration. Finally, a numerical example is provided to illustrate the proposed optimization method.<\/jats:p>","DOI":"10.3390\/axioms12020168","type":"journal-article","created":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T02:04:16Z","timestamp":1675821856000},"page":"168","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Condition-Based Maintenance Optimization Method Using Performance Margin"],"prefix":"10.3390","volume":"12","author":[{"given":"Shuyu","family":"Li","sequence":"first","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"The Key Laboratory on Reliability and Environmental Engineering Technology, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0819-2647","authenticated-orcid":false,"given":"Meilin","family":"Wen","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"The Key Laboratory on Reliability and Environmental Engineering Technology, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tianpei","family":"Zu","sequence":"additional","affiliation":[{"name":"The Key Laboratory on Reliability and Environmental Engineering Technology, Beihang University, Beijing 100191, China"},{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4488-6574","authenticated-orcid":false,"given":"Rui","family":"Kang","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"},{"name":"The Key Laboratory on Reliability and Environmental Engineering Technology, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1007\/s10836-014-5491-3","article-title":"On-line condition monitoring and maintenance of power electronic converters","volume":"30","author":"Khan","year":"2014","journal-title":"J. Electron. Test.-Theory Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2750","DOI":"10.1109\/TIE.2012.2196895","article-title":"On condition maintenance based on the impedance measurement for traction batteries: Development and industrial implementation","volume":"60","author":"Sancho","year":"2013","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"6128","DOI":"10.1016\/j.matpr.2017.12.219","article-title":"Condition based maintenance of bearings and gears for fault detection\u2014A review","volume":"5","author":"Kumar","year":"2018","journal-title":"Mater. Today Proc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1198\/TECH.2009.08092","article-title":"A state-dependent wear model with an application to marine engine cylinder liners","volume":"52","author":"Giorgio","year":"2010","journal-title":"Technometrics"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Kang, J.C., Wang, Z.H., and Soares, C.G. (2020). Condition-based maintenance for offshore wind turbines based on support vector machine. Energies, 13.","DOI":"10.3390\/en13143518"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.rser.2016.07.071","article-title":"Condition-based maintenance methods for marine renewable energy","volume":"66","author":"Merigand","year":"2016","journal-title":"Renew. Sust. Energ. Rev."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1109\/TAES.2019.2929970","article-title":"ISHM-oriented time decision-making for condition-based maintenance of multistate systems","volume":"56","author":"Zhong","year":"2020","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.anucene.2017.10.010","article-title":"A survey of the state of condition-based maintenance (CBM) in the nuclear power industry","volume":"112","author":"Cilliers","year":"2018","journal-title":"Ann. Nucl. Energy"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Garramiola, F., Poza, J., Madina, P., del Olmo, J., and Almandoz, G. (2018). A review in fault diagnosis and health assessment for railway traction drives. Appl. Sci.-Basel, 8.","DOI":"10.3390\/app8122475"},{"key":"ref_10","first-page":"2","article-title":"A framework for systematic design and operation of condition-based maintenance systems: Application at a german sea port","volume":"20","author":"Lewandowski","year":"2013","journal-title":"Int. J. Ind. Eng.-Theory Appl. Pract."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1109\/TR.2015.2451612","article-title":"Optimal long-run imperfect maintenance with asymptotic virtual age","volume":"65","author":"Cha","year":"2016","journal-title":"IEEE Trans. Reliab."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.ijpe.2016.04.024","article-title":"Optimal imperfect maintenance strategy for leased equipment","volume":"178","author":"Chelbi","year":"2016","journal-title":"Int. J. Prod. Econ."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Yan, B., Zhou, Y.F., and Liu, L.B. (2018, January 26\u201328). Condition based maintenance of the yaw motor in a wind turbine using an indirect indicator: A case study. Proceedings of the 2018 Prognostics and System Health Management Conference, New York, NY, USA.","DOI":"10.1109\/PHM-Chongqing.2018.00154"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.1016\/j.ymssp.2010.11.018","article-title":"Prognostic modelling options for remaining useful life estimation by industry","volume":"25","author":"Sikorska","year":"2011","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_15","unstructured":"Tai, A.H., Chan, L.-Y., Zhou, Y., Liao, H., and Elsayed, E.A. (2009, January 1\u20133). Condition based maintenance of periodically inspected systems. Proceedings of the World Congress on Engineering 2009, London, UK."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1109\/TSTE.2010.2049452","article-title":"An Approach for Condition-Based Maintenance Optimization Applied to Wind Turbine Blades","volume":"1","author":"Besnard","year":"2010","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.ress.2019.04.034","article-title":"Joint optimization of monitoring quality and replacement decisions in condition-based maintenance","volume":"189","author":"Nguyen","year":"2019","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_18","unstructured":"Dong, Y.L., Gu, Y.J., and Yang, K. (2004, January 26\u201329). Research on the condition based maintenance decision of equipment in power plant. Proceedings of the 2004 International Conference on Machine Learning and Cybernetics, New York, NY, USA."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1483","DOI":"10.1016\/j.ymssp.2005.09.012","article-title":"A review on machinery diagnostics and prognostics implementing condition-based maintenance","volume":"20","author":"Jardine","year":"2006","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"107234","DOI":"10.1016\/j.ress.2020.107234","article-title":"Performance margin-based reliability analysis for aircraft lock mechanism considering multi-source uncertainties and wear","volume":"205","author":"Li","year":"2021","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"171021","DOI":"10.1109\/ACCESS.2020.3023543","article-title":"Performance Margin Modeling and Reliability Analysis for Harmonic Reducer Considering Multi-Source Uncertainties and Wear","volume":"8","author":"Li","year":"2020","journal-title":"IEEE Access"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Nikulin, M.S., Limnios, N., Balakrishnan, N., Kahle, W., and Huber-Carol, C. (2010). Advances in Degradation Modeling: Applications to Reliability, Survival Analysis, and Finance, Birkh\u00e4user. p. 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