考虑不完全维修的劣化系统最优视情维修策略

doi:10.7527/S1000-6893.2013.0036

Abstract

Abstract:

Focusing on the fact that a maintained system cannot as a rule be restored to a condition as good as new after the maintenance, and that its lifetime will be decreasing due to aging, a new condition-based maintenance (CBM) model under imperfect maintenance for a degradation system is developed based on the Gamma process. The system is periodically inspected. If the observed degradation level exceeds a threshold and if no failure occurs, a preventive maintenance is performed, which can restore the system to somewhere between as good as new and as old as bad. After several preventive maintenance actions, the degradation system should be replaced when the state exceeds the threshold again and if no failure occurs. A corrective replacement is performed when failure does occur. The joint optimization of inspection period and replacement policy is investigated for the minimization of system long run cost rate. The CBM model is analyzed through a numerical example, and the validity of the model is proved using Monte Carlo simulation method.

Key words: maintenance, Gamma process, degradation systems, replacement policy, long run cost rate, optimization

CLC Number:

GE Enshun, LI Qingmin, ZHANG Guangyu, YANG Meiling. Optimization of Condition-based Maintenance for Degradation Systems Under Imperfect Maintenance[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(2): 316-324.

References

[1] Chen D, Trivedi K S. Closed-form analytical results for condition-based maintenance. Reliability Engineering and System Safety, 2002, 76(1): 43-51.

[2] Hosseini M M, Kerr R M, Randall R B. An inspection model with minimal and major maintenance for a system with deterioration and Poisson failures. IEEE Transactions on Reliability, 2000, 49(1): 88-98.

[3] Tomasevicz C L, Asgarpoor S. Optimum maintenance policy using semi-Markov decision processes. Electric Power Systems Research, 2009, 79(9): 1286-1291.

[4] Grall A, Dieulle L, Berenguer C, et al. Asymptotic failure rate of a continuously monitored system. Reliability Engineering and System Safety, 2006, 91(2): 126-130.

[5] Kallen M J, Noortwijk J M. Optimal periodic inspection of a deterioration process with sequential condition states. International Journal of Pressure Vessels and Piping, 2006, 83(4): 249-255.

[6] Pham H, Wang H. Imperfect maintenance. European Journal of Operational Research, 1996, 94(3): 425-438.

[7] Wang H. A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 2002, 139(3): 469-489.

[8] Cheng Z J, Gao D H, Huang Z, et al. Optimal analysis of the condition-based maintenance model under the imperfect repair. Systems Engineering and Electronics, 2006, 28(7): 1106-1108. (in Chinese) 程志君, 高大化, 黄卓, 等. 不完全维修条件下的视情维修优化模型. 系统工程与电子技术, 2006, 28(7): 1106-1108.

[9] Chiang J H, Yuan J. Optimal maintenance policy for a Markovian system under periodic inspection. Reliability Engineering and System Safety, 2001, 71(2): 165-172.

[10] Nicolai R P, Frenk J B, Dekker R. Modelling and optimizing imperfect maintenance of coatings on steel structures. Structural Safety, 2009, 31(3): 234-244.

[11] Newby M J, Barker C T. A bivariate process model for maintenance and inspection planning. International Journal of Pressure Vessels and Piping, 2006, 83(4): 270-275.

[12] Castanier B, Berenguer C, Grall A. A sequential condition-based repair/replacement policy with non-periodic inspections for a system subject to continuous wear. Applied Stochastic Models in Business and Industry, 2003, 19(4): 327-347.

[13] Liao H, Elsayed E A, Chan L Y. Maintenance of continuously monitored degrading systems. European Journal of Operational Research, 2006, 175(2): 821-835.

[14] Cheng Z J, Guo B. Optimal analysis of the condition-based maintenance model under the imperfect repair. Systems Engineering and Electronics, 2008,30(1):193-196. (in Chinese) 程志君, 郭波. 连续劣化系统的最佳检测与维修策略分析. 系统工程与电子技术, 2008, 30(1): 193-196.

[15] Noortwijk J M. A survey of the application of Gamma processes in maintenance. Reliability Engineering and System Safety, 2009, 94(1): 2-21.

[16] 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. Reliability Engineering and System Safety, 2011, 96(4): 497-508.

Optimization of Condition-based Maintenance for Degradation Systems Under Imperfect Maintenance

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Chen ZHANG, Hao ZHANG. Lunar-gravity-assisted low-energy transfer from Earth into Distant Retrograde Orbit (DRO) [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 326507-326507.
[2]	Ping JIANG, Bingnan QU, Huaze DING, Runze MA, Wei HE. Optimal array structure for time difference direction finding based on improved particle swarm optimization [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 326502-326502.
[3]	Qilei GUO, Weimin SANG, Junjie NIU, Ye YUAN. UAV flight strategy considering icing risk under complex meteorological conditions [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 627518-627518.
[4]	Chao LIANG, Li YANG, Chengsheng PAN, Yaowen QI. Multi-QoS constraints routing algorithm based on satellite network dynamic resource graph [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 326422-326422.
[5]	Haoge LI, Hua YANG, Yuxin YANG, Weifang CHEN. Refinement optimization design for heat reduction on windward surface of hypersonic lifting body [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S2): 124-137.
[6]	ZOU Ziyuan, CHEN Qifeng. Decision tree-based target assignment for confrontation of multiple space vehicles [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S1): 726910-726910.
[7]	LIANG Kuan, FU Lili, ZHANG Xiaopeng, LUO Yangjun. Topology optimization of structural dynamics based on material-field series-expansion [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 226002-226002.
[8]	HAN Kai, DONG Richang, SHAO Fengwei, GONG Wenbin, CHANG Jiachao. Dynamic topology optimization of navigation satellite inter-satellite links network based on improved genetic algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 326095-326095.
[9]	SUN Gang, PENG Shuang, CHEN Hao, WU Jiangjiang, LI Jun. Multi-objective optimization method oriented to integrated scenario of TT & C resources and data transmission resources [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 326114-326114.
[10]	ZHANG Shuo, LIU Zhiwen. Structured Bayesian sparse representation of aero-engine bearing failures [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625056-625056.
[11]	LUO Jiajie, SONG Wenbin. Nested collaborative optimization of laminar wing and its high-lift devices [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 125377-125377.
[12]	ZHENG Shuai, WANG Zihan, ZHAO Haoran, YANG Pengtao, HONG Jun. Layout optimization method of aircraft fuel gauging sensor based on differential evolution algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 125809-125809.
[13]	LI Chunpeng, ZHANG Tiejun, QIAN Zhansen, LIU Tiezhong. Aerodynamic design of modular configuration for multi-mission unmanned aerial vehicle [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 125411-125411.
[14]	LU Chuanyu, LU Minghui, LIU Haoyu, XU Xihao. Ultrasonicaliasing signal separation based on improved SL0 algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 425419-425419.
[15]	CAO Yi, MENG Gang, JU Yongjian, XU Weisheng. Large-stroke compliant micro-positioning stage considering parasitic rotation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 425498-425498.