An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

Single-loop methods based on the Karush–Kuhn–Tucker conditions are considered to be efficient reliability design optimization (RBDO) methods. The probabilistic performance functions converted deterministic for reducing computational burden of analysis. However, most probable target point (MPTP) estimated using steepest descent search directions diverges or oscillates highly nonlinear functions. Therefore, an approximate single-loop chaos control method is proposed address this challenge by estimating MPTP conjugate gradient directions. An oscillation criterion also track in every iteration. When satisfied, theory used update current MPTP. tested six mathematical and two engineering RBDO examples from literature. Monte Carlo simulations performed obtained solutions their reliability. results demonstrate that generates best reliable solution computationally chosen set over seven