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Optimal maintenance policy for a Markovian system under periodic inspection
Authors:J H Chiang  J Yuan  
Affiliation:1. IE Academy, China Headquarter, Foxconn Technology Group, Taiwan;2. Department of Industrial and Information Management, National Cheng Kung University, Taiwan;3. Department of International Business and Trade, Shu-Te University, Taiwan;1. School of Economics and Management, Tongji University, Shanghai 200092, China;2. School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China;1. Universidad EAFIT, Department of Mechanical Engineering, Engineering School, Carrera 49 Nr. 7 Sur-50, Medellín, Colombia;2. ICN Business School Nancy Metz, Dpt. Management de la Supply Chain et des Systèmes d’information, 3, place Edouard Branly, 57070 Metz Technopôle, Metz, France;3. Université de Lorraine, Laboratoire de Génie Industriel de Production et de Maintenance (LGIPM), College of Mathematics, Information, Mechanics and Automatics, Ile du Saulcy, 57045 Metz Cedex, Metz, France
Abstract:This study proposes a state-dependent maintenance policy Ri,j(T,N,α) for a multi-state continuous-time Markovian deteriorating system subject to aging and fatal shocks and with states 0 (new state) <1<2<…<L (failed-state). Under Ri,j(T,N,α), the system is inspected at each kT for k=1,2,3… to identify the current state as, say a, and then do-nothing, repair and replacement are taken immediately according to 0≤ai−1, iaj−1 and jaL−1, respectively in case i<j. Additionally, the replacement is carried out whenever L occurs due to fatal shocks. This policy includes numerous maintenance policies in the literature as special cases and can be applied quite generally. We then try to determine the optimal i*, j* and T* such that the expected long-run cost rate is minimized. A numerical example is given to evaluate the performance of the policy.
Keywords:Maintenance policy  Periodic inspection  Multi-state deteriorating system  Markov Chain  Repair  Replacement
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