ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Condition-based Maintenance Modeling and Optimization for Single-unit System with Multiple Competing Processes
Received date: 2012-04-17
Revised date: 2012-09-10
Online published: 2013-03-29
Supported by
National Defence Pre-research Foundation of China (51304010206, 51327020105)
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.
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, 2013 , 34(3) : 580 -587 . DOI: 10.7527/S1000-6893.2013.0095
[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.
/
| 〈 |
|
〉 |
CJA