Reliability assessment of multi-state phased mission system with non-repairable multi-state components

Xiang-Yu Li , Hong-Zhong Huang (1) , Yan-Feng Li , Enrico Zio (2, 3)

1 UESTC - University of Electronic Science and Technology of China [Chengdu]
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 LGI - Laboratoire Génie Industriel - EA 2606

Reliability assessment Multi-state multivalued decision diagram (MMDD) Phased mission system (PMS) Multi-state system Semi-Markov process Monte Carlo simulation Attitude and Orbit Control System a b s t r a c t Phased mission systems (PMSs) like satellites and spacecraft perform their functions over non-overlapping mission periods, called phases. One of the challenges in assessing reliability of PMSs comes from considering the s-dependence among phases, and the consideration on the multi-state behavior of components and systems makes the reliability analysis even more difficult. To effectively address this problem, a multi-state multival-ued decision diagram algorithm for PMS and a multi-state multi-valued decision diagram model for phased mission system (PMS-MMDD) method is developed for the reliability modelling of non-repairable multi-state components. Based on the Semi-Markov process, a Markov renewal equation-based method is developed to deal with non-exponential multi-state components and a numerical method, the trapezoidal integration method, is used to compute the complex integrals in the path probability evaluation. A case study of a multi-state attitude and orbit control system in a spacecraft is analyzed to illustrate the proposed PMS-MMDD model and the Markov renewal equation-based evaluation method. The accuracy and computation efficiency of the proposed method are verified by the Monte Carlo simulation method.

Domaines: Statistiques [stat]; Applications [stat.AP]

Xiang-Yu Li, Hong-Zhong Huang, Yan-Feng Li, Enrico Zio. Reliability assessment of multi-state phased mission system with non-repairable multi-state components. Applied Mathematical Modelling, 2018, 61, pp.181-199. ⟨10.1016/j.apm.2018.04.008⟩. ⟨hal-01988969⟩