| Abstract: | Using existing methods, the computation of performance-related reliability (PRR) of large-scale gracefully degrading systems is very tedious and time consuming. In this paper, the behaviour of such systems is respectively modeled as two types of diffusion processes according to their reconfiguration coverage. If the coverage is 1 (i.e. the reconfiguration is always successful), it is modeled as a regular diffusion. If, on the other hand, the coverage is less than one, it is modeled as diffusion with killing. Kolmogorov backward equations for regular diffusion processes and for diffusions with killing are then applied to compute the PRR. The methods have been applied in several examples, and the results satisfactorily agree with the accurate results. |
