Abstract
Performance degradation and random shock are commonly regarded as two dependent competing risks for system failures. One method based on effective service age is proposed to jointly model the cumulative effect of random shock and system degradation, and the reliability model of degradation system under Nonhomogeneous Poisson processes (NHPP) shocks is derived. Under the assumption that preventive maintenance (PM) is imperfective and the corrective maintenance (CM) is minimal repair, one maintenance policy which combines PM and CM is presented. Moreover, the two decision variables, PM interval and the number of PMs before replacement, are determined by a multi-objective maintenance optimization method which simultaneously maximizes the system availability and minimizes the system long-run expect cost rate. Finally, the performance of the proposed maintenance optimization policy is demonstrated via a numerical example.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
VAN NOORTWIJK J M. A survey of the application of gamma processes in maintenance [J]. Reliability Engineering & System Safety, 2009, 94(1): 2–21.
BARKER C T, NEWBY M J. Optimal non-periodic inspection for a multivariate degradation model [J]. Reliability Engineering & System Safety, 2009, 94(1): 33–43.
HUYNH K T, BARROS A, BERENGUER C, et al. A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events [J]. Reliability Engineering & System Safety, 2011, 96(4): 497–508.
CHA J H, FINKELSTEIN M. On a terminating shock process with independent wear increments [J]. Journal of Applied Probability, 2009, 46(2): 353–362.
WANG Y, PHAM H. A multi-objective optimization of imperfect preventive maintenance policy for dependent competing risk systems with hidden failure [J]. IEEE Transactions on Reliability, 2011, 60(4): 770–781.
JIANG L, FENG Q, COIT DW. Reliability and maintenance modeling for dependent competing failure processes with shifting failure thresholds [J]. IEEE Transactions on Reliability, 2012, 61(4): 932–948.
PENG H, FENG Q, and COIT D W. Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes [J]. IIE Transactions, 2011, 43(1): 12–22.
SONG S, COIT D W, FENG Q, et al. Reliability analysis for multi-component systems subject to multiple dependent competing failure processes [J]. IEEE Transactions on Reliability, 2014, 63(1): 331–345.
SHEU S H, ZHANG Z G. An optimal age replacement policy for multi-state systems [J]. IEEE Transactions on Reliability, 2013, 62(3): 722–735.
LIU Y, HUANG H Z. Optimal replacement policy for multi-state system under imperfect maintenance [J]. IEEE Transaction on Reliability, 2010, 59(3): 483–495.
CHENG C Y, ZHAO X F, CHEN M, et al. A Failurerate-reduction periodic preventive maintenance model with delayed initial time in a finite time period [J]. Quality Technology & Quantitative Management, 2014, 11(3): 245–254.
CHENG C Y. The near-optimal preventive maintenance policies for a repairable system with a finite life time by using simulation methods [J], Journal of Computers, 2011, 6(3): 548–555.
HUANG H Z, QU J, ZUO M J. Genetic-algorithmbased optimal apportionment of reliability and redundancy under multiple objectives [J]. IIE Transactions, 2009, 41(4): 287–298.
SAHOO L, BHUNIA A K, KAPUR P K. Genetic algorithm based multi-objective reliability optimization in interval environment [J]. Computers & Industrial Engineering, 2011, 62(1): 152–160.
TORRES-ECHEVERRIA A C, MARTORELL S, THOMPSON H A. Multi-objective optimization of design and testing of safety instrumented systems with MooN voting architectures using a genetic algorithm [J]. Reliability Engineering & System Safety, 2012, 106: 45–60.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the Science and Technology Plan Project Public Welfare Fund and Ability Construction Project of Guangdong Province (No. 2017A010101004)
Rights and permissions
About this article
Cite this article
Lü, Y., Zhang, Y. Reliability Modeling and Maintenance Policy Optimization for Deteriorating System Under Random Shock. J. Shanghai Jiaotong Univ. (Sci.) 23, 791–797 (2018). https://doi.org/10.1007/s12204-018-1985-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-018-1985-y
Key words
- degradation
- random shock
- Nonhomogeneous Poisson processes (NHPP)
- imperfect preventive maintenance
- multi-objective optimization