Journal
APPLIED MATHEMATICAL MODELLING
Volume 79, Issue -, Pages 414-433Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.10.044
Keywords
Bivariate degradation; Wiener process; Periodic inspections; Instantaneous availability; Steady-state availability
Funding
- National Natural Science Foundation of China [71631001, 71961030]
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It is still a challenge to study the degradation mechanisms of complex systems with multiple performance characteristics. This paper develops a two-stage stochastic degradation model. The degeneration processes of two correlated performance characteristics are described by a correlated bivariate Wiener process in the first stage, in which neither of the degradation levels of performance characteristics reaches their thresholds. When one of the degradation levels of performance characteristics reaches its threshold, the system operates defectively in the second stage, and the system degradation process is described by the other performance characteristic which is modeled by a univariate Wiener process. The system fails completely when both the degradation levels of performance characteristics reach their thresholds. Explicit expressions of the system reliability and availabilities are given based on different inspection and maintenance policies. Simulation is also presented, and it shows that the analytical results and the simulation results are in good agreement. Finally, a detailed case study of the rail track geometry degradation is given to demonstrate the results obtained in the paper. (C) 2019 Elsevier Inc. All rights reserved.
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