Reliability-Based Optimization Using Differential Evolution and Inverse Reliability Analysis for Engineering System Design

Fran S. Lobato (), Matheus S. Gonçalves (), Bárbara Jahn (), Aldemir Ap. Cavalini () and Valder Steffen ()
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Fran S. Lobato: Federal University of Uberlândia
Matheus S. Gonçalves: Federal University of Santa Catarina
Bárbara Jahn: Federal University of Uberlândia
Aldemir Ap. Cavalini: Federal University of Uberlândia
Valder Steffen: Federal University of Uberlândia

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 3, No 16, 894-926

Abstract: Abstract In this contribution, a new methodology based on a double-loop iteration process is proposed for the treatment of uncertainties in engineering system design. The inner optimization loop is used to find the solution associated with the highest probability value (inverse reliability analysis), and the outer loop is the regular optimization loop used to solve the considered reliability problem through differential evolution and multi-objective optimization differential evolution algorithms. The proposed methodology is applied to mathematical functions and to the design of classical engineering systems according to both mono- and multi-objective contexts. The obtained results are compared with those obtained by classical approaches and demonstrate that the proposed strategy represents an interesting alternative to reliability design of engineering systems.

Keywords: Reliability-based optimization; Differential evolution; Mono- and multi-objective problems; Inverse reliability analysis; Engineering system design; 60K10; 78M32; 78M50; 90C26; 90C29 (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-017-1063-x

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