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Maintenance policy for a system with a weighted linear combination of degradation processes
Affiliation:1. Kent Business School, University of Kent, Canterbury, Kent CT2 7FS, United Kingdom;2. Department of Mathematics, Escuela Politénica, University of Extremadura, Cáceres, Spain;1. Department of Finance, National Central University, Taiwan;2. Department of Finance, National Taiwan University, Taiwan;3. Department of International Business, National Taiwan University, Taiwan;4. Chinese Academy of Mathematics and Systems Science, China;1. Universidade Federal de Minas Gerais, Departamento de Ciência da Computação, Belo Horizonte, Brazil;2. Universidade Federal de Lavras, Departamento de Ciência da Computação, Lavras, Brazil;1. Chair of Logistics and Quantitative Methods, Julius-Maximilians-Universität Würzburg, Sanderring 2, Würzburg 97070, Germany;2. MIT-Zaragoza International Logistics Program, Zaragoza Logistics Center, Edificio Náyade 5, C/ Bari 55 (PLAZA), Zaragoza 50197, Spain;1. Department of Mathematics, Faculty of Sciences, Tehran North Branch, Islamic Azad University, Tehran, Iran;2. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran;1. Network and Data Science Management, University of Siegen, Unteres Schloß 3, 57072 Siegen, Germany;2. Department of Management Science, Lancaster University, Lancaster LA1 4YX, United Kingdom;1. UTT: University of Technology of Troyes, 12 Rue Marie Curie, 10300 Troyes, France;2. NTNU: Norwegian University of Science and Technology. Valgrinda, S. P. Andersens veg 5, Trondheim 7031, Norway;3. ITMO University. 49 Kronverkskiy pr., St. Petersburg 197101, Russia
Abstract:This paper develops maintenance policies for a system under condition monitoring. We assume that a number of defects may develop and the degradation process of each defect follows a gamma process. The system is said failed if a linear combination of the degradation processes exceeds a pre-specified threshold. Preventive maintenance is performed. The system is renewed after several preventive maintenance activities have been performed. The main objective of this paper is to optimise the time between preventive maintenance actions and the number of the preventive maintenance. Numerical examples are given to illustrate the results.
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