Single-Loop Multi-Objective Reliability-Based Design Optimization Using Chaos Control Theory and Shifting Vector with Differential Evolution

Multi-objective reliability-based design optimization (MORBDO) is an efficient tool for generating reliable Pareto-optimal (PO) solutions. However, such PO solutions requires many function evaluations reliability analysis, thereby increasing the computational cost. In this paper, a single-loop multi-objective formulation proposed that approximates analysis using Karush-Kuhn Tucker (KKT) optimality conditions. Further, chaos control theory used updating point estimated through KKT conditions avoiding any convergence issues. order to generate in feasible region, also incorporates shifting vector approach. The MORBDO solved differential evolution (DE) uses heuristic parameter based on hypervolume indicator performing different mutation operators. DE incorporating tested two mathematical and one engineering examples. results demonstrate generation of better set method over double-loop variant DE. Moreover, 6×–377× less functional than double-loop-based