
Journal of Systems Engineering and Electronics ›› 2026, Vol. 37 ›› Issue (4): 1251-1266.doi: 10.23919/JSEE.2026.000138
• SYSTEMS ENGINEERING • Previous Articles
Xin Huang1,2(
), Ying Zeng1,2,3,*(
), Jing Li1,2(
), Zhenwei Zhou4(
), Shiqi Zhai1,2(
), Hongzhong Huang1,2,3(
)
Received:2024-12-03
Online:2026-08-18
Published:2026-09-03
Contact:
Ying Zeng
E-mail:xinhuang9610@163.com;zengying@uestc.edu.cn;jli2023@std.uestc.edu.cn;zhouzw_ceprei@163.com;3412720136@qq.com;hzhuang@uestc.edu.cn
Supported by:Xin Huang, Ying Zeng, Jing Li, Zhenwei Zhou, Shiqi Zhai, Hongzhong Huang. Multi-performance degradation modeling and reliability assessment for operational amplifiers[J]. Journal of Systems Engineering and Electronics, 2026, 37(4): 1251-1266.
Table 3
Parameter estimation results"
| Sample | |||||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| 6 | |||||||||||
| 7 | |||||||||||
| 8 | |||||||||||
| 9 | |||||||||||
| 10 | |||||||||||
| 11 | |||||||||||
| 12 | |||||||||||
| 13 | |||||||||||
| 14 | |||||||||||
| 15 | |||||||||||
Table 5
AIC values of bivariate Copula functions for different combinations of degradation quantities"
| Copula function | Degradation quantity combinations | ||
| Gaussian | |||
| Frank | |||
| Clayton | |||
| Gumbel | |||
| 1 |
Wang Y, Zhang T, Hui J J, et al An anomaly detection method for spacecraft solar arrays based on the ILS-SVM model. Journal of Systems Engineering and Electronics, 2023, 34 (2): 515.
doi: 10.23919/JSEE.2023.000011 |
| 2 |
Mi J H, Li Y F, Peng W, et al Reliability analysis of complex multi-state system with common cause failure based on evidential networks. Reliability Engineering & System Safety, 2018, 174, 71.
doi: 10.1016/j.ress.2018.02.021 |
| 3 |
Li Y F, Huang H Z, Mi J, et al Reliability analysis of multi-state systems with common cause failures based on Bayesian network and fuzzy probability. Annals of Operations Research, 2022, 311 (1): 195.
doi: 10.1007/s10479-019-03247-6 |
| 4 |
Huang T D, Xiahou T F, Mi J H, et al Merging multilevel evidential observations for dynamic reliability assessment of hierarchical multi-state systems: a dynamic Bayesian network approach. Reliability Engineering & System Safety, 2024, 249, 110225.
doi: 10.1016/j.ress.2024.110225 |
| 5 | Mao S S, Tang Y C, Wang L L. Reliability statistics[M]. Beijing: Higher Education Press, 2008. (in Chinese) |
| 6 | Sharma D, Nath V. CMOS operational amplifier design for industrial and biopotential applications: comprehensive review and circuit implementation[J]. Results in Engineering, 2024, 22: 102357. |
| 7 |
Zhang X X, Yang J, Kong X F A literature review on planning and analysis of multi-stress accelerated life test for reliability assessment. Recent Patents on Engineering, 2021, 15 (1): 12.
doi: 10.2174/1872212113666191209150647 |
| 8 |
Zhu Y P, Zhao T D, Jiao J, et al The lifetime prediction of epoxy resin adhesive based on small-sample data. Engineering Failure Analysis, 2019, 102, 111.
doi: 10.1016/j.engfailanal.2019.04.007 |
| 9 |
Abbaszada M A, Gajanur N, Mazumder S K Assessing the reliability of SiC MOSFET through inverter-like accelerated test vs. power cycling test[J]. Microelectronics Reliability, 2025, 165, 115589.
doi: 10.1016/j.microrel.2025.115589 |
| 10 |
Wang X, Sun Q Consistency check of degradation mechanism between natural storage and enhancement test for missile servo system. Journal of Systems Engineering and Electronics, 2019, 30 (2): 415.
doi: 10.21629/jsee.2019.02.19 |
| 11 |
Liao C M, Tseng S T Optimal design for step-stress accelerated degradation tests. IEEE Trans. on Reliability, 2006, 55 (1): 59.
doi: 10.1109/TR.2005.863811 |
| 12 |
Kalaiselvan C, Rao L B Accelerated life testing of nano ceramic capacitors and capacitor test boards using non-parametric method. Measurement, 2016, 88, 58.
doi: 10.1016/j.measurement.2016.03.035 |
| 13 |
Zhou J, Yao J, Su Q, et al Research on optimum design of temperature-vibration accelerated storage test plan. Vibroengineering Procedia, 2014, 4, 63.
doi: 10.21595/vp.2014.15333 |
| 14 |
Cai Z Y, Wang Z Z, Chen Y X, et al Remaining useful lifetime prediction for equipment based on nonlinear implicit degradation modeling. Journal of Systems Engineering and Electronics, 2020, 31 (1): 194.
doi: 10.21629/jsee.2020.01.19 |
| 15 |
Li B J, Chen X, Jain A Power modeling of degraded PV systems: case studies using a dynamically updated physical model (PV-Pro). Renewable Energy, 2024, 236, 121493.
doi: 10.1016/j.renene.2024.121493 |
| 16 |
Streb M, Ohrelius M, Siddiqui A, et al Diagnosis and prognosis of battery degradation through re-evaluation and Gaussian process regression of electrochemical model parameters. Journal of Power Sources, 2023, 588, 233686.
doi: 10.1016/j.jpowsour.2023.233686 |
| 17 |
Meeker W Q, Luvalle M J An accelerated life test model based on reliability kinetics. Technometrics, 1995, 37 (2): 133.
doi: 10.1080/00401706.1995.10484298 |
| 18 |
Wang F K, Chu T P Lifetime predictions of LED-based light bars by accelerated degradation test. Microelectronics Reliability, 2012, 52 (7): 1332.
doi: 10.1016/j.microrel.2012.02.019 |
| 19 |
Wu J, Deng C, Shao X Y, et al A reliability assessment method based on support vector machines for CNC equipment. Science in China Series E: Technological Sciences, 2009, 52 (7): 1849.
doi: 10.1007/s11431-009-0208-z |
| 20 |
Duan C Q, Deng C, Li N Reliability assessment for CNC equipment based on degradation data. The International Journal of Advanced Manufacturing Technology, 2019, 100, 421.
doi: 10.1007/s00170-018-2548-y |
| 21 |
Whitmore G A, Schenkelberg F Modelling accelerated degradation data using Wiener diffusion with a time scale transformation. Lifetime Data Analysis, 1997, 3 (1): 27.
doi: 10.1023/A:1009664101413 |
| 22 |
Wang X L, Jiang P, Guo B, et al Real-time reliability evaluation with a general Wiener process-based degradation model. Quality and Reliability Engineering International, 2014, 30 (2): 205.
doi: 10.1002/qre.1489 |
| 23 |
Chen Y, Yang T Y, Wang Y F Reliability modeling of mutual DCFP considering failure physical dependency. Journal of Systems Engineering and Electronics, 2023, 34 (4): 1063.
doi: 10.23919/JSEE.2023.000108 |
| 24 |
Peng W W, Li Y F, Mi J H, et al Reliability of complex systems under dynamic conditions: a Bayesian multivariate degradation perspective. Reliability Engineering & System Safety, 2016, 153, 75.
doi: 10.1016/j.ress.2016.04.005 |
| 25 |
Zhao X X, Chen G, Liu H, et al A multivariate temperature drift modeling and compensation method for large-diameter high-precision fiber optic gyroscopes. IEEE Trans. on Instrumentation and Measurement, 2022, 71, 249583054.
doi: 10.1109/tim.2022.3181900 |
| 26 |
Wang Y, Pham H Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying Copulas. IEEE Trans. on Reliability, 2011, 61 (1): 13.
doi: 10.1109/tr.2011.2170253 |
| 27 | Sari J K. Multivariate degradation modelling and its application to reliability testing[D]. Singapore: National University of Singapore, 2007. |
| 28 |
Tang J Y, He P, Liang H Q, et al Comprehensive reliability assessment of long life products with correlated multiple failure modes. Journal of Mechanical Engineering, 2013, 49 (12): 176.
doi: 10.3901/jme.2013.12.176 |
| 29 |
Pan Z, Balakrishnan N, Sun Q, et al Bivariate degradation analysis of products based on Wiener processes and Copulas. Journal of Statistical Computation and Simulation, 2013, 83 (7): 1316.
doi: 10.1080/00949655.2012.658805 |
| 30 |
Sun F Q, Wang N, Li X Y, et al A time-varying Copula-based prognostics method for bivariate accelerated degradation testing. Journal of Intelligent & Fuzzy Systems, 2018, 34 (6): 3707.
doi: 10.3233/jifs-169545 |
| 31 | Hu Q H. The selection of Copula function and its application in the dual degradation model[D]. Shanghai: East China Normal University, 2013. (in Chinese) |
| 32 | Liu X P. Gear pump reliability evaluation based on performance degradation[D]. Qinhuangdao: Yanshan University, 2021. (in Chinese) |
| 33 |
Fang G, Pan R, Hong Y Copula-based reliability analysis of degrading systems with dependent failures. Reliability Engineering & System Safety, 2020, 193, 106618.
doi: 10.1016/j.ress.2019.106618 |
| 34 | Yang Y J. Research on reliability evaluation for mechanical products based on degradation modelling[D]. Chengdu: University of Electronic Science and Technology of China, 2016. (in Chinese) |
| [1] | Hui CAO, Fuhai DUAN, Yu’nan DUAN. Reliability-based selective maintenance for redundant systems with dependent performance characteristics of components [J]. Journal of Systems Engineering and Electronics, 2023, 34(3): 804-814. |
| [2] | Tingting HUANG, Bo PENG, Yuepu ZHAO, Zixuan YU. Reliability assessment considering stress drift and shock damage caused by stress transition shocks in a dynamic environment [J]. Journal of Systems Engineering and Electronics, 2019, 30(5): 1025-1034. |
| Viewed | ||||||
|
Full text |
|
|||||
|
Abstract |
|
|||||