Reliability Optimization for the Complex Bridge System: Fuzzy Multi-criteria Genetic Algorithm

System reliability optimization often involves multiple fuzzy conflicting objectives, for instance, reducing system cost and reliability improvement. This paper presents a system reliability optimization problem for the complex bridge system. First, the problem is formulated as a fuzzy multi-criteria nonlinear program. Second, we propose a fuzzy multi-criteria genetic algorithm approach (FMGA) to solve the problem. Fuzzy evaluation techniques are used to handle fuzzy goals and constraints, resulting in a flexible and adaptable approach that provides high-quality solutions within reasonable computation times. Using fuzzy theory concepts, the preferences of the decision maker on the cost and reliability objectives are judiciously incorporated. Third, computational experiments results are presented based on benchmark problems in the literature. The computational results obtained show that the proposed method is encouraging.