Commenced in January 2007
Paper Count: 30458
A Condition-Based Maintenance Policy for Multi-Unit Systems Subject to Deterioration
Abstract:In this paper, we propose a condition-based maintenance policy for multi-unit systems considering the existence of economic dependency among units. We consider a system composed of N identical units, where each unit deteriorates independently. Deterioration process of each unit is modeled as a three-state continuous time homogeneous Markov chain with two working states and a failure state. The average production rate of units varies in different working states and demand rate of the system is constant. Units are inspected at equidistant time epochs, and decision regarding performing maintenance is determined by the number of units in the failure state. If the total number of units in the failure state exceeds a critical level, maintenance is initiated, where units in failed state are replaced correctively and deteriorated state units are maintained preventively. Our objective is to determine the optimal number of failed units to initiate maintenance minimizing the long run expected average cost per unit time. The problem is formulated and solved in the semi-Markov decision process (SMDP) framework. A numerical example is developed to demonstrate the proposed policy and the comparison with the corrective maintenance policy is presented.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1317122Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 331
 HZ. Wang and H. Pham, Reliability and Optimal Maintenance,. Springer, 2006.
 V. Legat, AH. Zaludova, V. Cervenka, and V. Jurca, Contribution to optimization of preventive maintenance. Reliability Engineering System, 51:25966, 1996.
 AK. Jardine, D. Lin, D. Banjevic, A review on machinery diagnostics and prognostics implementing condition-based maintenance. Mechanical systems and signal processing, 20(7):1483-510.
 M. J. Kim, V. Makis, Optimal maintenance policy for a multi-state deteriorating system with two types of failures under general repair. Computers & Industrial Engineering 57, 298-303, 2009.
 IT. Castro, NC. Caball, CJ. Prez, A condition-based maintenance for a system subject to multiple degradation processes and external shocks. International Journal of Systems Science, 46(9):1692-704, 2015.
 X. Zhang, J. Zeng, Deterioration state space partitioning method for opportunistic maintenance modeling of identical multi-unit systems. International Journal of Production Research, 53(7):2100-18, 2015.
 Z. Tian, H. Liao, Condition based maintenance optimization for multi-component systems using proportional hazards model. Reliability Engineering and System Safety, 96:581-9, 2011.
 Z. Tian, T. Jin, B. Wu, F. Ding, Condition based maintenance optimization for wind power generation systems under continuous monitoring. Renewable Energy,36:1502-1509, 2011.
 B. Liu, Z. Xu, M. Xie, W. Kuo, A value-based preventive maintenance policy for multi-component system with continuously degrading components , Reliability Engineering & System Safety, vol. 132, 83-89, 2014.
 Q. Zhu, H. Peng and GJ. Houtum,A condition-based maintenance policy for multi-component systems with a high maintenance setup cost. OR Spectrum, 37, 1007-1035, 2015.
 M. Shafiee, M. Finkelstein, An optimal age-based group maintenance policy for multi-unit degrading systems. Reliability Engineering & System Safety, 134:230-8, 2015.
 J. Ashayeri, A. Teelen, W. Selenj, A production and maintenance planning model for the process industry. International Journal of Production Research. 34(12), pp. 3311-3326, 1996.
 N. Salari, V. Makis, Comparison of two maintenance policies for a multi-unit system considering production and demand rates. International Journal of Production Economics, 193:381-91, 2017.
 H. C. Tijms, Stochastic Modeling and Analysis: A computational Approach. John Wiley & Sons, New York.