Reliability-Based Optimal Design: Problem Formulations, Algorithms and Application
Der Kiureghian, A.
MetadataShow full item record
Algorithms for solving three classes of reliability-based optimal design problems are presented. The algorithms address design problems for structural components, series systems, and a portfolio of series systems, where the objective and/or constraint functions involve probability terms. The proposed approach employs reformulations of the problems, in which probability terms are replaced by better-behaving functions. The reformulated problems can be solved by existing semi-infinite optimization algorithms, An important advantage of the approach is that the required reliability and optimization calculations are completely decoupled, thus allowing flexibility in the choice of the optimization algorithm and the reliability method. A comprehensive numerical example demonstrates applications of the proposed algorithms.
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Showing items related by title, author, creator and subject.
Royset, Johannes O.; der Kiureghian, Armen; Polak, Elijah (ASCE, 2006);Significant challenges are associated with solving optimal structural design problems involving the failure probability in the objective and constraint functions. In this paper, we develop gradient-based optimization ...
Alvarez, Rogelio E. (Monterey, California. Naval Postgraduate School, 2004-03);This thesis explores Benders decomposition for solving interdiction problems on electric power grids, with applications to analyzing the vulnerability of such grids to terrorist attacks. We refine and extend some existing ...
Lim, Jong Chun (Monterey, California. Naval Postgraduate School, 1988);The objective of this investigation is to derive the reliability and the associated probabilistic failure criterion for composite materials under combined stress. In the analytical derivation, the concept of joint ...