Abstract
The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index
Highlights
Reliability problem derives from uncertainties existing in the engineering
By the example of solving non-probabilistic reliability indexes, it is showed that the algorithm integrates the advantages of gradient projection algorithm and adaptive algorithm
Because of the simple algorithm and clear mathematical meaning, gradient projection algorithm can be widely used in the probabilistic reliability analysis
Summary
Reliability problem derives from uncertainties existing in the engineering. The probabilistic model cannot be defined for the reason of no statistical properties parameters. The gradient projection algorithm with adaptive mutation step length for non-probabilistic reliability index iteration appeared premature convergence, it could adaptively mutate step length and help the search to get rid of local optimal area. In this way, it effectively avoided premature convergence and improved the global optimization capabilities of the algorithm. By the example of solving non-probabilistic reliability indexes, it is showed that the algorithm integrates the advantages of gradient projection algorithm and adaptive algorithm It takes into account both local performance and global search ability, and has high precision to dispose the optimization problem of highdimensional and complex non-probabilistic reliability
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