Belief reliability analysis and maintenance modeling of uncertain random fractional systems
摘要
In a situation of both cognitive uncertainty and objective randomness, reliability models subject to delayed and instantaneous failures are constructed in this paper. Initially, an uncertain fractional degradation process with memory is introduced, and shocks are modeled as random processes. Considering the system’s physical characteristics and external disturbance, failure thresholds are quantified as variables with two types of indeterminacy. Next, using the proposed belief reliability indexes, reliability formulas in specific cases are derived by chance measures. To ensure that the system performs required functions without failures, periodic maintenance and aging test-based preventive maintenance strategies are adopted. Finally, a numerical example of metal stents is carried out to verify the effectiveness of the proposed methods.