In this article, we assume that the product in the burn-in procedure only experiences continuous
smooth degradation process, while in the field operation period the product experiences both continuous smooth
degradation process and shock process. The shock process can cause the product not only traumatic failure,
but also additional abrupt degradation damage. After the system reliability model and maintenance model have
been proposed, the optimal burn-in setting and age replacement duration are obtained under the considering of
minimizing the long run average cost rate. A numerical example with the real data is analyzed to illustrate the
application of the model.
HUANG Wen-ping1 (黄文平), ZHOU Jing-lun1 (周经伦),NING Ju-hong2* (宁菊红), LIU Tian-yu1 (刘天宇)
. Optimal Burn-in and Preventive Maintenance Modeling with Competing Failure Processes[J]. Journal of Shanghai Jiaotong University(Science), 2015
, 20(3)
: 293
-297
.
DOI: 10.1007/s12204-015-1624-9
[1] Liu X, Mazzuchi T A. The optimal burn-in: State of the art and new advances for cost function formulation[C]//Recent Advances in Reliability and Quality in Design. London, UK: Springer-Verlag, 2008: 137-184.
[2] Ye Z S, Xie M, Ching L C, et al. Degradation-based burn-in planning under competing risks [J]. Technometrics,2012, 54(2): 159-168.
[3] Jiang R, Jardine A K S. An optimal burn-in preventive-replacement model associated with a mixture distribution [J]. Quality and Reliability Engineering International, 2007, 23(2): 83-93.
[4] Ye Z S, Shen Y, Xie M. Degradation-based burn-in with preventive maintenance [J]. European Journal of Operational Research, 2012, 221(2): 360-367.
[5] Jiang R. Discrete competing risk model with application to modeling bus-motor failure data [J]. Reliability Engineering and System Safety, 2010, 95(9): 981-988.
[6] Feng Q, Peng H, Coit D W. A degradation-based model for joint optimization of burn-in, quality inspection,and maintenance: A light display device application[J]. The International Journal of Advanced Manufacturing Technology, 2010, 50(5-8): 801-808.
[7] Liu X, Li J, Al-Khalifa K N, et al. Conditionbased maintenance for continuously monitored degrading systems with multiple failure modes [J]. IIE Transactions,2013, 45(4): 422-435.
[8] Wang Y P, Pham H. Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying copulas [J]. IEEE Transactions on Reliability, 2012, 61(1): 13-22.
[9] Peng H, Feng Q, Coit D W. Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes [J]. IIE Transactions,2011, 43(1): 11-22.
[10] Li W J, Pham H. Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks [J]. IEEE Transactions on Reliability,2005, 54(2): 297-303.
[11] Bai J M, Li Z H, Kong X B. Generalized shock models based on a cluster point process [J]. IEEE Transactions on Reliability, 2006, 55(3): 542-550.
[12] Tanner D M, Dugger M T. Wear mechanisms in a reliability methodology [C]//Proceedings of the Society of Photo-Optical Instrumentation Engineers. California,USA: SPIE, 2003: 22-40.
