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Abstract Reliability-based design optimization (RBDO) has become an important branch of reliability engineering after decades of development. In recent years, reliability optimization design methods considering uncertain factors have emerged in an endless stream. This article summarizes the research status and basic principles of RBDO problems. According to the different RBDO methods, the mathematical models of the double-loop method, single-loop method, and decoupling method and their respective advantages and disadvantages are detailed from the perspective of the optimization process. It also focuses on the analysis of several kinds of RBDO bottleneck problems, and discusses the existing related methods and possible solutions.
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