Multiple objective system reliability post-Pareto optimality using self organizing trees

Multiple objective system reliability optimization problems have been become more popular in engineering and have been deeply covered in literature. There are different approaches to address multiple objective optimization problems depending of the area and special characteristics of the problem. Most of the methods developed to solve these types of problems consist in a Pareto set of optimal solutions. At this point the decision-maker has to select one solution among the Pareto set. This task is not trivial due to the large size of the set to choose for. This work presents a new method based on self-organizing trees for reducing the size of Pareto-optimal sets. The method is tested in several Pareto sets from different multiple objective system reliability optimization problems including a network reliability design problem.