The Design of Open Engineering Systems Lab

University at Buffalo - The State University of New York

  • Increase font size
  • Default font size
  • Decrease font size

A Method to Determine Optimal Relative Weights for Pareto Solutions Sets

Research Area: Research Publication Year: 1999
Type of Publication: Technical Report Keywords: Multi-objective optimization, Game theory, Pareto set, Objective weighting
Authors: Kasprzak, Edward; Lewis, Kemper
This paper presents a method to predict the relative objective weighting scheme necessary to cause members of a Pareto set to become optimal. First, a polynomial description of a Pareto set is constructed. Then, using geometric relationships between the members of a Pareto set in question, the location of the utopia point and the polynomial coefficients, the weighting of the performance metrics which causes this member of the Pareto set to become optimal is determined. The use of this technique, termed the Scaling Method, is examined via a sample problem from the field of vehicle dynamics
The Third World Congress of Structural and Multidisciplinary Optimization