C. Kirjnerneto et al., AN OUTER APPROXIMATIONS APPROACH TO RELIABILITY-BASED OPTIMAL-DESIGN OF STRUCTURES, Journal of optimization theory and applications, 98(1), 1998, pp. 1-16
Citations number
10
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
We present a new formulation of the problem of minimizing the initial
cost of a structure subject to a minimum reliability requirement, expr
essed in terms of the so-called design points of the first-order relia
bility theory, i.e., points on limit-state surfaces that are nearest t
o the origin in a transformed standard normal space, as well as other
deterministic constraints. Our formulation makes it possible to use ou
ter approximations algorithms for the solution of such optimal design
problems, eliminating some of the major objections associated with tre
ating them as bilevel optimization problems. A numerical example is pr
esented that illustrates the reliability and efficiency of the algorit
hm.