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Volume 14 - 2018

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An Advanced Replacement Model for a Two-Unit System

Volume 14, Number 1, January 2018, pp. 186-191
DOI: 10.23940/ijpe.18.01.p20.186191

Xiaoyang Ma, Xiaodong Zhang, Rui Peng

Donlinks School of Economics and Management, University of Science and Technology Beijing, China

(Submitted on October 1, 2017; Revised on November 7, 2017; Accepted on December 5, 2017)


This paper considers an advanced replacement model for a two-unit system. One is the key unit called unit 1 and the whole system is replaced once unit 1 fails. The system is preventively replaced in order to prevent failure of unit 1. The other unit referred to as unit 2, is cheaper and easily replaceable. Unit 2 is only replaced when it fails. However, if its failure is within a threshold of the planned preventive system replacement, the system replacement is done in advance to avoid over replacements of unit 2. A framework is proposed to jointly optimize the preventive replacement interval and the threshold for advanced replacement.


References: 8

1. G. Levitin and A. Lisnianski, “Optimization of imperfect preventive maintenance for multi-state systems,” Reliability Engineering & System Safety, vol. 67, no. 2, pp. 193-203, February 2000.
2. X. Liu, W. Wang, F. Zhao and R. Peng, “Joint lot-size and preventive maintenance optimization for a production system,” International Journal of Performability Engineering, vol. 11, no. 1, pp. 91-96, January 2015.
3. R. Peng, B. Liu, Q. Zhai and W. Wang, “Optimal maintenance strategy for system subject to two failure modes,” Reliability Engineering & System Safety, in press, doi: 10.1016/j.ress.2017.07.014.
4. L. Yang, X. Ma, R. Peng, Q. Zhai and Y.  Zhao, “A preventive maintenance policy based on dependent two-stage deterioration and external shocks,” Reliability Engineering & System Safety, vol. 160, pp. 201-211, April2017.
5. R. Yang, F. Zhao, J. Kang, and X.  Zhang, “An inspection optimization model based on a three-stage failure process,” International Journal of Performability Engineering, vol. 10, no. 7, pp. 775-779, November 2014.
6. W. Wang, “A model to predict the residual life of rolling element bearings given monitored condition information to date,” IMA Journal of Management Mathematics, vol. 13, no. 1, pp. 3-16, January 2002.
7. W. Wang, “Modelling condition monitoring inspection using the delay time concept,” UK: University of Salford,1992.
8. W. Wang, F. Zhao and R. Peng, “A preventive maintenance model with a two-level inspection policy based on a three-stage failure process,” Reliability Engineering & System Safety, vol. 121, no. 1, pp. 207-220, January 2014.


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