ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Optimal combination maintenance strategy of deteriorating complex system
Received date: 2014-03-27
Revised date: 2014-12-17
Online published: 2015-03-31
Supported by
National Defence Pre-research Foundation (51327020105, 51304010206)
As the existing condition-based maintenance strategy does not consider the effect of scheduled servicing, the performance deteriorating law cannot be reflected exactly, which is not helpful to give a rational maintenance strategy which combines the scheduled servicing with condition-based maintenance. Aimed at this problem, the performance deteriorating rule and maintenance optimization model under combination maintenance strategy are analyzed deeply. The performance deteriorating model is established by composite Poisson process based on the deteriorating characteristic from the failure mechanism. It describes the maintenance effect of servicing by using intensity function which only restores the cumulative deteriorating values and doesn't have impact on the deteriorating law. And the reliability is also analyzed to obtain the peculiarity of ladder decrease and saltation. On the basis of it, the optimization model is given to determine the optimal servicing period and preventive maintenance thresholds, with an objective to minimize the system cost rate and build a constraint to failure risk. The numerical example demonstrates the cost rate rule with different maintenance strategy values. So the existence of optimal cost rate is proved. Compared with the lifetime, it also shows that the optimal maintenance strategy values can prolong system operational time and control the failure risk. So the system can have high safety grade and a great decrease on the maintenance cost.
LI Dawei , ZHANG Zhihua , ZHONG Qianghui , LI Wan . Optimal combination maintenance strategy of deteriorating complex system[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(3) : 872 -880 . DOI: 10.7527/S1000-6893.2014.0351
[1] Won Y Y, Nakagawa T. Replacement and inspection policies for products with random life cycle[J]. Reliability Engineering & System Safety, 2010, 95(3): 161-165.
[2] Philip A S, Cristiano A V C. Hybrid block replacement and inspection policies for a multi-component system with heterogeneous component lives[J]. European Journal of Operational Research, 2010, 206(2): 384-394.
[3] Sheils E, Connor A O, Breysse D, et al. Development of a two-stage inspection process for the assessment of deteriorating infrastructure[J]. Reliability Engineering & System Safety, 2010, 95(3): 182-194.
[4] Lina L H, Roberto C Q. Integrating on-line process control and imperfect corrective maintenance: an economical design[J]. European Journal of Operational Research, 2012, 222(2): 253-262.
[5] Kallen M J, van Noortwijk J M. Optimal maintenance decisions under imperfect inspection[J]. Reliability Engineering & System Safety, 2005, 90(2): 177-185.
[6] Ge E S, Li Q M, Zhang G Y, et al. Optimization of condition-based maintenance for degradation systems under imperfect maintenance[J]. 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[J]. 航空学报, 2013, 34(2): 316-324.
[7] Chen J W, Li K H, Lamb Y. Bayesian computation for geometric process in maintenance problems[J]. Mathematics and Computers in Simulation, 2010, 81(4): 771-781.
[8] van der Weide J A M, Pandey M D. Stochastic analysis of shock process and modeling of condition-based maintenance[J]. Reliability Engineering & System Safety, 2011, 96(6): 619-626.
[9] Rosmaini A, Shahrul K. An overview of time-based and condition-based maintenance in industrial application[J]. Computers and Industrial Engineering, 2012, 63(1): 135-149.
[10] Pham H, Wang H Z. Imperfect maintenance[J]. European Journal of Operational Research, 1996, 94(3): 425-438.
[11] Liu Y, Huang H Z. Optimal selective maintenance strategy for multi-state systems under imperfect maintenance[J]. IEEE Transactions on Reliability, 2010, 59(2): 356-367.
[12] Xia T B, Xi L F, Zhou X J, et al. Modeling and optimizing maintenance schedule for energy systems subject to degradation[J]. Computers and Industrial Engineering, 2012, 63(3): 607-614.
[13] Sheu S H, Li S H, Chang C C. A generalised maintenance policy with age-dependent minimal repair cost for a system subject to shocks under periodic overhaul[J]. International Journal of Systems Science, 2012, 43(6): 1007-1013.
[14] Wang X L, Cheng Z J, Guo B, et al. Imperfect maintenance decision for a deteriorating system based on shock model[J]. Systems Engineering-Theory & Practice, 2011, 31(12): 2380-2386 (in Chinese). 王小林, 程志君, 郭波, 等.基于冲击模型劣化系统的不完全维修决策[J].系统工程理论与实践, 2011,31(12):2380-2386.
[15] Zhang Y Q, Feng J, Liu Q, et al. Reliability analysis based on performance degradation model of compound Poisson-Normal process[J]. Systems Engineering and Electronics, 2006, 28(11): 1775-1778 (in Chinese). 张永强, 冯静, 刘琦, 等. 基于Poisson-Normal过程性能退化模型的可靠性分析[J].系统工程与电子技术, 2006, 28(11): 1775-1778.
[16] Li D W, Zhang Z H, Liu T H, et al. Product maintenance strategy research based on the scheduled servicing[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(5): 1101-1107 (in Chinese). 李大伟, 张志华, 刘天华, 等. 基于定期维护的产品维修策略研究[J]. 航空学报, 2013, 34(5): 1101-1107.
[17] Cha J H, Lee E Y. An extended stochastic failure model for a system subject to random shocks[J]. Operations Research Letters, 2010, 38(5): 468-473.
[18] Dinesh Kumar U, Knezevic J, Crocker J. Maintenance free operating period-an alternative measure to MTBF and failure rate for specifying reliability[J]. Reliability Engineering & System Safety, 1999, 64(1): 127-131.
[19] Li D W, Zhang Z H, Zhong Q H, et al. Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time[J]. Chinese Journal of Aeronautics, 2014, 27(4): 821-828.
[20] Yan C L, Liu K G. Theory of economic life prediction and reliability assessment of aircraft structures[J]. Chinese Journal of Aeronautics, 2011, 24(2): 164-170.
/
〈 | 〉 |