Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (1): 222-232.doi: 10.23919/JSEE.2022.000022

• RELIABILITY • Previous Articles     Next Articles

System reliability evaluation method considering physical dependency with FMT and BDD analytical algorithm

Ying CHEN1,2(), Yanfang WANG1,2,*(), Song YANG1,2,3(), Rui KANG1,2()   

  1. 1 School of Reliability and System Engineering, Beihang University, Beijing 100191, China
    2 Science and Technology on Reliability and Environmental Engineering Laboratory, Beihang University, Beijing 100191, China
    3 China Academy of Launch Vehicle Technology, Bejing 100076, China
  • Received:2020-10-12 Accepted:2021-11-25 Online:2022-01-18 Published:2022-02-22
  • Contact: Yanfang WANG;;;
  • About author:|CHEN Ying was born in 1977. She received her Ph.D. degree in instrument science and technology from Tsinghua University, Beijing, China, in 2006. She is currently an associate professor with the School of Reliablity and Systems Engineering, Beihang University. She was a visiting scholar of University of California from 2016 to 2017. Her research interests include failure behavior and reliablity modeling method and risk science. E-mail:||WANG Yanfang was born in 1998. She received her B.S. degree from Hebei University of Technology in 2020. She is now pursing her M.S. degree in the School of Reliablity and Systems Engineering, Beihang University, Beijing, China. Her primary research interests include the reliability of electronic products and the system failure behavior. E-mail:||YANG Song was born in 1995. He received his B.S. degree from Nanjing University of Aeronautics and Astronautics of China, Nanjing, China, in 2018. He received his M.S. degree in 2021, from the School of Reliability and Systems Engineering, Beihang University and is now working at China Academy of Launch Vehicle Technology. His primary research interests include failure behavior modeling and reliability simulation, specialized in the systems engineering, the reliability of electronic products, and the system failure behavior. E-mail:||KANG Rui was born in 1966. He is a distinguished professor in the School of Reliability and Systems Engineering, Beihang University, Beijing, China. He received his B.S. and M.S. degrees in electrical engineering from Beihang University in 1987 and 1990, respectively. He has developed six courses, and published eight books and more than 200 research papers. He is currently serving as the associate editor of IEEE Trans. on Reliability and is the founder of China Prognostics and Health Management Society. He received several awards from the Chinese government for his outstanding scientific contributions, including Changjiang Chair Professor awarded by the Chinese Ministry of Education. His main research interests include reliability, resilience for complex system, and modeling epistemic uncertainty in reliability and maintainability. E-mail:
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (61503014; 62073009)


Recently, the physics-of-failure (PoF) method has been more and more popular in engineering to understand the failure mechanisms (FMs) of products. However, due to the lack of system modeling methods and problem-solving algorithms, the information of FMs cannot be used to evaluate system reliability. This paper presents a system reliability evaluation method with failure mechanism tree (FMT) considering physical dependency (PDEP) such as competition, trigger, acceleration, inhibition, damage accumulation, and parameter combination. And the binary decision diagram (BDD) analytical algorithm is developed to establish a system reliability model. The operation rules of ite operators for generating BDD are discussed. The flow chart of system reliability evaluation method based on FMT and BDD is proposed. The proposed method is applied in the case of an electronic controller drive unit. Results show that the method is effective to evaluate system reliability from the perspective of FM.

Key words: system reliability modeling, failure physical dependency, failure mechanism tree (FMT), binary decision diagram (BDD)