多重故障并发下单部件系统视情维修建模与优化

doi:10.7527/S1000-6893.2013.0095

Abstract

Abstract:

In most practical situations of equipment work, the system does not only degrade with use and age, but is also subject to traumatic events or shocks which lead to a sudden failure; that is, system failure is due to both deterioration and shock events. Focusing on the actual problem of maintenance engineering, a new condition-based maintenance model is established based on the sequential inspection policy and multi-level control-limit rule for a single-unit system which is subject to both the deterioration process and shock process. The competing and dependent failures due to deterioration and shock are considered. A mathematical model for the deteriorating system cost is derived under a pre-selected maintenance policy, and the long-run cost rate can be minimized by a joint optimization of the maintenance structure thresholds. Through a numerical example, the proposed model is compared with the maintenance model using periodically inspection policy, and the validity and superiority of the model are proved.

Key words: multiple competing processes, multi-level control-limit, maintenance, long-run cost rate, optimization

CLC Number:

GE Enshun, LI Qingmin, PENG Yingwu, WANG Shen. Condition-based Maintenance Modeling and Optimization for Single-unit System with Multiple Competing Processes[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, doi: 10.7527/S1000-6893.2013.0095.

References

[1] Amari S V, McLaughlin L. Optimal design of a condition based maintenance model. Proceedings of the 50th Annual Reliability and Maintainability Symposium (RAMS), 2004: 528-533.

[2] 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.

[3] Chen D, Trivedi K S. Optimization for condition-based maintenance with semi-Markov decision process. Reliability Engineering and System Safety, 2005, 90(1): 25-29.

[4] Moustafa M S, Maksoud E Y, Sadek S. Optimal major and minimal maintenance policies for deteriorating systems. Reliability Engineering and System Safety, 2004, 83(3): 363-368.

[5] 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.

[6] 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.

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

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

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

[10] 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.

[11] Kallen M J, van Noortwijk J M. Optimal maintenance decisions under imperfect inspection. Reliability Engineering and System Safety, 2005, 90(3): 177-185.

[12] Ge E S, Li Q M, Zhang G Y, et al. Optimization of condition-based maintenance for deteriorating system under imperfect maintenance. Acta Aeronautica et Astronautica Sinica, 2013, 34(2): 316-324. (in Chinese) 葛恩顺, 李庆民, 张光宇, 等. 考虑不完全维修的劣化系统最优视情维修策略. 航空学报, 2013, 34(2): 316-324.

[13] Grall A, Berenguer C, Dieulle L. A condition-based maintenance policy for stochastically deteriorating systems. Reliability Engineering and System Safety, 2002, 76(2): 167-180.

[14] Chan G K, Asgarpoor S. Optimum maintenance policy with Markov process. Electric Power Systems Research, 2006, 76(6-7): 452-456.

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

[16] Li W, Pham H. An inspection-maintenance model for systems with multiple competing processes. IEEE Transactions on Reliability, 2005, 54(2): 318-327.

[17] Feng J. Sequential inspection method for long-storage products under reliability requirement. Fuzzy Systems and Mathematics, 2009, 23(6): 166-170. (in Chinese) 冯静. 长贮产品基于贮存可靠度的序贯检测方法. 模糊系统与数学, 2009, 23(6): 166-170.

[18] 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.

Condition-based Maintenance Modeling and Optimization for Single-unit System with Multiple Competing Processes

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