Commenced in January 2007
Paper Count: 30127
Optimal Opportunistic Maintenance Policy for a Two-Unit System
Abstract:This paper presents a maintenance policy for a system consisting of two units. Unit 1 is gradually deteriorating and is subject to soft failure. Unit 2 has a general lifetime distribution and is subject to hard failure. Condition of unit 1 of the system is monitored periodically and it is considered as failed when its deterioration level reaches or exceeds a critical level N. At the failure time of unit 2 system is considered as failed, and unit 2 will be correctively replaced by the next inspection epoch. Unit 1 or 2 are preventively replaced when deterioration level of unit 1 or age of unit 2 exceeds the related preventive maintenance (PM) levels. At the time of corrective or preventive replacement of unit 2, there is an opportunity to replace unit 1 if its deterioration level reaches the opportunistic maintenance (OM) level. If unit 2 fails in an inspection interval, system stops operating although unit 1 has not failed. A mathematical model is derived to find the preventive and opportunistic replacement levels for unit 1 and preventive replacement age for unit 2, that minimize the long run expected average cost per unit time. The problem is formulated and solved in the semi-Markov decision process (SMDP) framework. Numerical example is provided to illustrate the performance of the proposed model and the comparison of the proposed model with an optimal policy without opportunistic maintenance level for unit 1 is carried out.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130749Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 538
 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.
 C.T. Lam, and R.H. Yeh, Comparison of sequential and continuous inspection strategies for deterioration systems. Advances in Applied Probability, 26, 423-435, 1994.
 A. Lehmann, Joint modeling of degradation and failure time data. Journal of Statistical Planning and Inference, 139(5), 1693-1706, 2009.
 W. Li and H. Pham, An inspection maintenance model for systems with multiple competing processes. IEEE Transactions on Reliability, 54(2), 318-327, 2005.
 K.T. Huynh, A. Barros, C. Brenguer, and I.T. Castro, A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events Reliability and System Safety, 96(4), 497-508, 2011.
 D. Cho and M. Parlar, A survey of maintenance models for multi-unit systems. European Journal of Operational Research, 51 (1), 123, 1991.
 H. Shi and J. Zeng, Real-time prediction of remaining useful life and preventive opportunistic maintenance strategy for multi-component systems considering stochastic dependence. Computers & Industrial Engineering 93, 192204, 2016.
 B. Castanier, A. Grall and C. Brenguer A condition-based maintenance policy with non-periodic inspections for a two-unit series system. Reliability Engineering & System Safety 87(1): 109 - 120, 2005.
 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. Lai and Y. Chen Optimal periodic replacement policy for a two-unit system with failure rate interaction. The International Journal of Advanced Manufacturing and Technology, 29, 367-371, 2006.
 R. Laggoune, A. Chateauneu and A. Djamil Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units, Computers & Chemical Engineering, Volume 33, Issue 9, Pages 14991510, 2009.
 G.J. Wang and Y.L. Zhang An optimal replacement policy for a two - component series system assuming geometric process repair. Computers & Mathematics with Applications 54(2): 192 - 202, 2007.
 N. Salari and V. Makis, Optimal preventive and opportunistic maintenance policy for a two-unit system, International Journal of Advanced Manufacturing Technology, DOI 10.1007/s00170-016-9127-x, 2016.
 H.C Tijms, Stochastic Modeling and Analysis: A computational Approach. John Wiley & Sons, New York, 1994.