An implementation of the circuit multiobjective optimization with the weighted sum strategy and goal attainment method

A robust implementation of the weighted sum strategy and goal attainment method is described, and a comparison of both methods is performed. While the weighted sum strategy is preferable if the problem is known to be convex, or if a smaller number of controlling parameters is advantageous, the goal attainment method provides a better control over accessed parts of the Pareto front, but only at the cost of higher demands on the designer as well as on the used computational power. The robustness is increased by means of a two-stage modified single-objective method. The use of both methods is demonstrated on a practical example of a video amplifier design involving a four-dimensional optimization. Obtained results are evaluated and discussed regarding average correlation and inferiority. Furthermore, an interpolative approach to generating graphical output suitable for multidimensional problems is suggested and used for the four-dimensional objective space of the optimized circuit.