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A Multifaceted Approach for Safety Design and Probabilistic Optimization

机译：安全设计和概率优化的多方面方法

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摘要

Safety design and probabilistic optimization are fields that are widely subject to uncertainty, thus making traditional deterministic methods highly unreliable for these two fields. Popular design optimizations methodswidely used for safety design and probabilistic optimization are the performance measure approach (PMA) and the performance measure approach (RIA). In a problem where the analysis is performed from an infeasible design space, a modified reliability index approach (MRIA) is employed to address some inefficiency of the traditional RIA to be able to find the optimal solutions. The PMA uses an inverse reliability analysis, which is more computationally efficient at finding the most probable design points but has been reported to have numerical instabilities on some cases. In this paper, three benchmark examples were thoroughly studied with various initial points to examine the stability and efficiency of MRIAand PMA. Ahybrid reliability approach (HRA) was then presented after determining a selection factor from the optimum conditions. The proposed HRA aims to determine which of the two optimization methods would be more appropriate during the optimization processes.
机译：安全设计和概率优化是广泛受不确定性影响的领域，因此使传统的确定性方法对于这两个领域非常不可靠。广泛用于安全设计和概率优化的流行设计优化方法是性能度量方法（PMA）和性能度量方法（RIA）。在不可行的设计空间中进行分析的问题中，采用了改进的可靠性指标方法（MRIA）来解决传统RIA的效率低下问题，以便能够找到最佳解决方案。 PMA使用逆可靠性分析，在找到最可能的设计点时计算效率更高，但据报道在某些情况下具有数值不稳定性。在本文中，以不同的起点全面研究了三个基准示例，以检查MRIA和PMA的稳定性和效率。在从最佳条件中确定选择因子后，提出了混合可靠性方法（HRA）。拟议的HRA旨在确定在优化过程中，两种优化方法中的哪一种更为合适。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第5期|817820.1-817820.14|共14页
  • 作者

    Lin Po Ting; Manuel Mark Christian E.; Liu Yi-Hung; Chou Yu-Cheng; Ting Yung; Shyu Shian-Shing; Chen Chang-Kuo; Lee Chun-Lin;

  • 作者单位

    Chung Yuan Christian Univ, Dept Mech Engn, Chungli 32023, Taoyuan County, Taiwan.;

    Chung Yuan Christian Univ, Dept Mech Engn, Chungli 32023, Taoyuan County, Taiwan.;

    Chung Yuan Christian Univ, Dept Mech Engn, Chungli 32023, Taoyuan County, Taiwan.;

    Natl Sun Yat Sen Univ, Inst Undersea Technol, Kaohsiung 80424, Taiwan.;

    Chung Yuan Christian Univ, Dept Mech Engn, Chungli 32023, Taoyuan County, Taiwan.;

    Atom Energy Council, Inst Nucl Energy Res, Longtan Township 32546, Taoyuan County, Taiwan.;

    Atom Energy Council, Inst Nucl Energy Res, Longtan Township 32546, Taoyuan County, Taiwan.;

    Atom Energy Council, Inst Nucl Energy Res, Longtan Township 32546, Taoyuan County, Taiwan.;

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