A new reliability analysis method for repairable systems with multifunction modes based on goal‐oriented methodology

Abstract

This paper proposes a new systematic reliability analysis method for repairable systems with multifunction modes based on the goal‐oriented (GO) method. First, we create a new function GO operator, a new logical GO operator, and a new auxiliary GO operator, deduce their GO operation formulas, and propose some new rules of the GO operation and an exact algorithm with shared signal of the GO method for such systems. Then, we formulate the analysis process of repairable systems with multifunction modes based on the new GO method. Finally, we apply this new GO methodology to reliability analysis of the control system for a heavy vehicle. To verify the feasibility, advantage, and reasonableness of the new GO methodology, we compare its analysis results with those of fault tree analysis and Monte Carlo simulation. We show that the proposed GO method has clear advantages in system reliability modeling and analysis. All in all, this study not only improves the theory of the GO method and widens its application but also provides a new approach for conducting reliability analysis of complex systems quickly and efficiently.

Reliability technology using GO methodology: A review

“…And for the multifunction units without control signal, Yi et al proposed a function operator named Type 21 to describe it, as shown in Figure F. In order to solve the multifunction systems' modeling problem for representing the logical relationship of one system with multifunction modes, a logical operator named Type 23 was proposed, as shown in Figure G. Yi et al proposed an new auxiliary operator named Type 25, which contains Type 25A and Type 25B, as shown in Figure H, to conduct vector‐scalar GO operation resulted in the multifunction units with multi‐conditions control signal .…”

“…In order to solve the multifunction systems' modeling problem for representing the logical relationship of one system with multifunction modes, a logical operator named Type 23 was proposed, as shown in Figure G. Yi et al proposed an new auxiliary operator named Type 25, which contains Type 25A and Type 25B, as shown in Figure H, to conduct vector‐scalar GO operation resulted in the multifunction units with multi‐conditions control signal . Feedback is forbidden in a basic GO model, so that feedback is neglected as a serial and parallel structure without considering the characteristic of the internal feedback.…”

“…Compared with the above two direct GO algorithms and three GO algorithms with shared signal from aspects of operation accuracy, operation efficiency, applicability, and operability, the results are presented in Table . Reliability analysis of several engineering systems with shared signals has revealed that the exact algorithm above is the best choice for complex systems …”

A new reliability analysis method for repairable systems with closed‐loop feedback links

“…Thus, the new form of the exact algorithm with shared signals in the GO method can accurately obtain the success probability for the system output based on probabilistic weighting of the results produced by the GO operation for each combination of shared signals in the GO model. This method greatly improves the speed of the calculation and avoids deriving complex mathematical formulae . The calculation process is presented in Table .…”

“…This method greatly improves the speed of the calculation and avoids deriving complex mathematical formulae. 50 The calculation process is presented in Table 2.…”