Pareto optimum tests
The paper presents two tests, one semi-graphical, the other numerical, that enable one to verify if an arbitrary feasible two-dimensional design vector is or is not a Pareto solution to a multi-criterion optimization problem. The second of the tests, apart from being useful on its own, provides also a basis for a procedure that allows determination of the complete Pareto solutions set to multi-criterion, two-design-variable problems. Three illustrative examples are enclosed in which the two tests and the procedure are applied to a four-criterion optimization problem
pareto optimum test pareto solution multi-criterion optimization structural optimization