|Table of Contents|

[1] Su Chun, Qu ZhongzhouHao Huibing,. Reliability assessment consideringdependent competing failure process and shifting-threshold [J]. Journal of Southeast University (English Edition), 2013, 29 (1): 52-56. [doi:10.3969/j.issn.1003-7985.2013.01.011]

Reliability assessment consideringdependent competing failure process and shifting-threshold()

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

2013 1
Research Field:
Mechanical Engineering
Publishing date:


Reliability assessment consideringdependent competing failure process and shifting-threshold
Su Chun Qu ZhongzhouHao Huibing
School of Mechanical Engineering, Southeast University, Nanjing 211189, China
degradation hard failure dependent competing failure process cumulative shock model shifting-threshold
The reliability assessment problem for products subject to degradation and random shocks is investigated. Two kinds of probabilistic models are constructed, in which the dependent competing failure process is considered. First, based on the assumption of cumulative shock, the probabilistic models for hard failure and soft failure are built respectively. On this basis, the dependent competing failure model involving degradation and shock processes is established. Furthermore, the situation of the shifting-threshold is also considered, in which the hard failure threshold value decreases to a lower level after the arrival of a certain number of shocks. A case study of fatigue crack growth is given to illustrate the proposed models. Numerical results show that shock has a significant effect on the failure process; meanwhile, the effect will be magnified when the value of the hard threshold shifts to a lower level.


[1] 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.
[2] Lehmann A. Joint modeling of degradation and failure time data [J]. Journal of Statistical Planning and Inference, 2009, 139(5): 1693-1706.
[3] Klutke G A, Yang Y J. The availability of inspected systems subjected to shocks and graceful degradation[J]. IEEE Transactions on Reliability, 2002, 51(3): 371-374.
[4] Deloux E, Castanier B, Berenguer C. Predictive maintenance policy for a gradually deteriorating system subject to stress [J]. Reliability Engineering and System Safety, 2009, 94(2): 418-431.
[5] Kijima M, Nakagawa T. A cumulative damage shock model with imperfect preventive maintenance[J]. Naval Research Logistics, 1991, 38(2): 145-156.
[6] Chen J Y, Li Z H. An extended extreme shock maintenance model for a deteriorating system[J]. Reliability Engineering and System Safety, 2008, 93(8): 1123-1129.
[7] Allan Gut. Mixed shock models[J]. Bernoulli, 2001, 7(3): 541-555.
[8] 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.
[9] Su Chun, Zhang Ye. System reliability assessment based on Wiener process and competing failure analysis[J]. Journal of Southeast University: English Edition, 2010, 26(4): 554-557.
[10] Peng H, Feng Q M, Coit D W. Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes[J]. IIE Transactions, 2010, 43(1):12-22.
[11] Wang Z L, Huang H Z. Reliability analysis on competitive failure processes under fuzzy degradation data[J]. Applied Soft Computing, 2011, 11(3):2964-2973.
[12] Jiang L, Feng Q M, Coit D W. Reliability analysis for dependent failure processes and dependent failure threshold[C]//2011 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering. Xi’an, China, 2011: 30-34.
[13] van Noortwijk J M, van der Weide J A M, Kallen M J, et al. Gamma processes and peaks-over-threshold distributions for time-dependent reliability [J]. Reliability Engineering and System Safety, 2007, 92(12): 1651-1658.
[14] Lu C J, Meeker W Q. Using degradation measures to estimate a time-to-failure distribution [J]. Technometrics, 1993, 35(2): 161-174.


Biography: Su Chun(1970—), male, doctor, associate professor, suchun@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.50405021), Graduate Training Innovative Projects Foundation of Jiangsu Province(No.CXLX12_0081).
Citation: Su Chun, Qu Zhongzhou, Hao Huibing. Reliability assessment considering dependent competing failure process and shifting-threshold[J].Journal of Southeast University(English Edition), 2013, 29(1):52-56.[doi:10.3969/j.issn.1003-7985.2013.01.011]
Last Update: 2013-03-20