Reliability-Based Design With the Mixture of Random and Interval Variables

By Xiaoping Du, Agus Sudjianto, Beiqing Huang. Design Automation Conference, 2005

278 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c4fa7856d661aac56decfdda8cfe0eb690d8959d

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In Computational Theory and Mathematics

In Management Science and Operations Research

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Citations in the corpus

Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016, methodology): “[23] addressed the issue of a hybrid RBDO, in which the reliability is considered with the worst-case combination of interval variables.”
A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures (2012, background): “[21–26], among which the work by Du et al.”
Unified Uncertainty Analysis by the First Order Reliability Method (2008, unknown): “Typical interval examples are given in [31].”
Reliability-based design optimization for problems with interval distribution parameters (2016, unknown): “(Du and Sudjianto 2003; Du 2012) used the biggest failure probability to measure the structural reliability under mixed uncertainties, and a corresponding single-layer decoupling algorithm was proposed.”
Reliability‐based design optimization with dependent interval variables (2012, background): “(5) The motion reliability should be at least 0.”
Inverse reliability measures and reliability-based design optimisation (2006, methodology): “Several researchers developed equivalent inverse reliability methods (Du et al., 2004; Kiureghian et al., 1994; Lee and Kwak, 1987; Lee et al., 2002; Li and Foschi, 1998; Tu et al., 1999; Qu and Haftka, 2003) that are closely related to the Birger measure. These measures quantify the level of safety”
Reliability-based design optimization of multidisciplinary system under aleatory and epistemic uncertainty (2016, methodology): “Du et al. (2005) proposed an RBDO method under both aleatory uncertainty and epistemic uncertainty available as intervals,”
Reliability-based structural optimization with probability and convex set hybrid models (2010, methodology): “Problem (22) is more general than the hybrid random/interval model-based formulation proposed by Du et al. (2005) , since the interval model considered therein can be regarded as a specific instance of the multi-ellipsoid model used in this study.”
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, methodology): “In conjunction with reliability assessment under mixed description of probabilistic randomness and intervals, a multi-point approximation was proposed by Penmetsa and Grandhi (2002), and an optimization method for uncertain structures was developed by Du et al. (2005).”