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Titlebook: Design Optimization Under Uncertainty; Weifei Hu Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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Weifei HuOffers both the fundamental and the state-of-the-art theories and methods of design optimization under uncertainty.Explains the in-depth theories of design optimization under uncertainty in a lucid wi
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Constrained systems: preliminariesysis methods, including most probable point (MPP)-based methods and sampling methods. The MPP-based methods consist of the first-order reliability method (FORM) and the second-order reliability method (SORM). The sampling methods include the Monte Carlo simulation (MCS) method and the importance sampling method, as well as other related methods.
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Textbook 2023nalytical reliability analysis, and the state-of-the-art approaches of design optimization under uncertainty (e.g., reliability-based design optimization and robust design optimization). The topics include basic concepts of probability and distributions, uncertainty quantification using probabilisti
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