Analytical derivation of the Pareto-optimal set in Multi-Objective Optimization problems

A method for the analytical derivation of the Pareto-optimal set for multi-objective optimization problems is described and applied in the paper. The Fritz John necessary condition for Pareto-optimality has been used for the analytical derivation. The method has been applied to solve actual engineering problems. The optimization of mass and compliance of a cantilever beam, in presence of design constraints, has been performed analytically. The relationship between road vehicles suspension system parameters to optimize the most relevant vehicle performance indices has been derived