Master of Science, The Ohio State University, 2023, Mechanical Engineering
The optimal solutions, i.e. selection of combinations of decision variables, of a system being designed to satisfy multiple objectives that are dependent upon various decision variables are found on the non-dominated Pareto fronts (NDPFs). In this thesis, multi-objective optimization problems and the concept of NDPFs for such problems are discussed. A case study of a practical application (development of sensor selection method for online monitoring (OLM) systems) is presented to study a multi-objective optimization problem and verify the effectiveness and performance of the sensor selection method to generate the optimal cost-benefit sensor deployment scheme for OLM systems for advanced nuclear reactors. In the study, several important capabilities of the OLM system, such as the capability of observing various states of the target system, the capability of fault detection and discrimination, the capability of fault prognostics, and various characteristics of sensors, such as the functionalities, the integrities, the reliabilities, and the costs, are taken into account when generating the optimal sensor deployment scheme. As a solver of a multiple-objective optimization problem, the Non-dominated Sorting Genetic Algorithm (NSGA-II) is used which outputs a series of sensor deployment solutions, including the numbers, types, and deployment positions of the sensors required by the OLM system. However, uncertainty is not considered for the OLM systems case study. But decision variables are often subject to uncertainty, which can significantly affect the NDPF of an optimization problem. The effect of uncertainty, how uncertainty propagates and affects the distribution of the NDPFs is studied to understand the significance of uncertainty in the decision variables in this thesis. The required conditions and the analytical expression of the probability that a solution will be in the NDPF is developed for multiple objective functions with multiple decision variables. Measure (open full item for complete abstract)
Committee: Tunc Aldemir (Committee Member); Carol Smidts (Advisor)
Subjects: Mechanical Engineering