1984
DOI: 10.1115/1.3258562
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A New Approach to Probability in Engineering Design and Optimization

Abstract: The anomalous position of probability and statistics in both mathematics and engineering is discussed, showing that there is little consensus on concepts and methods. For application in engineering design, probability is defined as strictly subjective in nature. It is argued that the use of classical methods of statistics to generate probability density functions by estimating parameters for assumed theoretical distributions should be used with caution, and that the use of confidence limits is not really meani… Show more

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Cited by 26 publications
(9 citation statements)
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“…This indicates that the reliability-based design methods do not attempt to minimize the variability 53 , and, hence, concentrate on the rare events at the tails of the probability distribution 54 . On the other hand, the RD optimization approach attempts to minimize the variance for a given quality characteristic.…”
Section: Reliability-based Robust Design Optimizationmentioning
confidence: 96%
See 1 more Smart Citation
“…This indicates that the reliability-based design methods do not attempt to minimize the variability 53 , and, hence, concentrate on the rare events at the tails of the probability distribution 54 . On the other hand, the RD optimization approach attempts to minimize the variance for a given quality characteristic.…”
Section: Reliability-based Robust Design Optimizationmentioning
confidence: 96%
“…The reliability-based design approach accepts variability and uses the limit state function to separate out the stress and strength probability density functions (pdf) to achieve the desired reliability level. This indicates that the reliability-based design methods do not attempt to minimize the variability 53 , and, hence, concentrate on the rare events at the tails of the probability distribution 54 . On the other hand, the RD optimization approach attempts to minimize the variance for a given quality characteristic.…”
Section: Reliability-based Robust Design Optimizationmentioning
confidence: 99%
“…They are predominantly used for risk analysis by computing the probability of failure of the system. In the reliability approaches, the variation is not minimized (Siddall, 1984) and it is concentrated on the rare events at the tails of the probability distribution. On the contrary, a robust design optimization (RDO) approach is able to fi nd the optimal performance both in terms of mean value and also in terms of minimization of its variability coming from uncertainty (Doltsins and Kang, 2004).…”
Section: Introductionmentioning
confidence: 99%
“…Recently, many authors have introduced procedures that combine design optimization techniques with reliability-based design methods [5,31,53,57,86,93]. The approach allows the designer to minimize the objective function while accounting for the influence of stochastic variations of some parameters and/or variables.…”
Section: Stochastic Multi-objective Optimizationmentioning
confidence: 99%