Solving Multiobjective Engineering Design Problems Through a Scalarized Augmented Lagrangian Algorithm (SCAL)

Abstract

In this paper, a set of multiobjective engineering design problems is solved using a methodology that combines an Augmented Lagrangian technique to deal with the constraints and the Augmented Weighted Tchebycheff method to tackle the multiobjective nature of the problems to find the Pareto frontier. In order to compare and validate the performance of this strategy, the problems were also solved with gamultiobj from MATLAB™. We present the algorithm, as well as some results that seem very promising.