Solving advanced multi-objective robust designs by means of multiple objective evolutionary algorithms (MOEA): A reliability application

Daniel E. Salazar A. and Claudio M. Rocco S.

Reliability Engineering and System Safety, 2007, vol. 92, issue 6, 697-706

Abstract: This paper extends the approach proposed by the second author in [Rocco et al. Robust design using a hybrid-cellular-evolutionary and interval-arithmetic approach: a reliability application. In: Tarantola S, Saltelli A, editors. SAMO 2001: Methodological advances and useful applications of sensitivity analysis. Reliab Eng Syst Saf 2003;79(2):149-59 [special issue]] to obtain a robust system design. The approach based on the use of evolutionary algorithms and interval arithmetic finds the maximum-volume inner box (MIB) or the maximal ranges of variation for each variable that preserve pre-specified design/performance requirements. The original single-objective formulation considers the definition of a MIB around a specified centroid (case 1), or around an unspecified centroid (case 2). In this paper, both cases were successfully modified and solved as multiple-objective (MO) problems, showing the advantages of MO formulations in a design-selection decision framework. Special attention is devoted to the unspecified centre MO problem where the computational efficiency could be a critical issue. In that sense, a new procedure based on the “percentage representation†is proposed. This approach reduces drastically the computational burden, extending the possibilities of use of robust design.

Keywords: MOEA; Multiple-objective optimisation; Percentage representation; Robust design (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:92:y:2007:i:6:p:697-706

DOI: 10.1016/j.ress.2006.03.003

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