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- W4377030012 abstract "In probabilistic structural mechanics, the Hasofer-Lind reliability index problem is a paradigmatic equality constrained problem of searching for the minimum distance from a point to a surface. In practical engineering problems, such surface is defined implicitly, requiring the solution of a boundary-value problem. Recently, it was proposed in the literature a hybrid micro-genetic algorithm (HmGA), with mixed real-binary genotype and novel deterministic operators for equality-constraint handling, namely the Genetic Repair and Region Zooming mechanisms (G. das Neves Carneiro and C. Conceic{c}~ao Ant'onio, Global optimal reliability index of implicit composite laminate structures by evolutionary algorithms, Struct Saf, vol. 79, pp. 54-65, 2019). We investigate the limit-behavior of the HmGA and present the convergence theorems for the algorithm. It is proven that Genetic Repair is a conditionally stable mechanism, and its modes of convergence are discussed. Based on a Markov chain analysis, the conditions for the convergence with probability 1 of the HmGA are given and discussed." @default.
- W4377030012 created "2023-05-19" @default.
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- W4377030012 date "2023-05-16" @default.
- W4377030012 modified "2023-10-11" @default.
- W4377030012 title "Limit-behavior of a hybrid evolutionary algorithm for the Hasofer-Lind reliability index problem" @default.
- W4377030012 doi "https://doi.org/10.48550/arxiv.2305.09511" @default.
- W4377030012 hasPublicationYear "2023" @default.
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