Patent Document ID: 20080010044
Application ID: 11481747
Patent Status: 0

Claim One:
1. A method for solving a parametric multi-objective optimization problem in a combined design space and parameter space using interval techniques, wherein the design space contains design-space variables which are fixed for a selected design, and wherein the parameter space contains parameters which are variables for the selected design, the method comprising: receiving a design-optimization problem at a computer system, wherein the problem is specified by multiple-objective functions which are to be optimized in the combined design space and parameter space; initializing a design-variable box spanning the design space; performing an interval optimization process on the parameter space by subdividing the design-variable box in the design space into design-variable sub-boxes, and iteratively: determining a parametric Pareto front for a design-variable sub-box using an interval optimization technique; comparing a set of parametric Pareto fronts associated with a set of design-variable sub-boxes to determine which parametric Pareto fronts are certainly dominated by other parametric Pareto fronts; eliminating the design-variable sub-boxes associated which the parametric Pareto fronts which are certainly dominated by other parametric Pareto fronts; and subdividing remaining design-variable sub-boxes; and producing an optimized solution for the design-optimization problem from the remaining design-variable sub-boxes and the associated parametric Pareto fronts.