Study on Calculated Operation using Geodetic Distance between Evaluation Space and Design Variable Space in Multi-objective Optimization Problem

Abstract

Multi-Objective Genetic Algorithm(MOGA), the application of Genetic Algorithm(GA) to Multi-objective Optimization Problems(MOPs), has been focused on in the engineering design field. This paper applies the conceptual design optimization problem of hybrid rocket engine as a real world problem in MOPs. In this field, the analysis of design variables in the acquired Pareto solutions, which gives the designers useful knowledge in the applied problems, is important as well as the acquisition of advanced solutions. In this paper, we use the visualization method which visualizes the geometric distances of Pareto solutions in the design variable space considering their distances in the objective space. The visualization method enables a user to analyze the design variables of the acquired Pareto solutions considering their relationship in the objective space.