Multi-objective Optimization: A Case Study

Abstract: The aim of this literature is to illustrate the application of multi-objective optimization routines through a case study of face milling operation. For this purpose, the face milling operation is designed as a multi-objective optimization problem and then solved to obtain optimum values for the machining parameters - cutting speed (Vc), feed rate (fz) and depth of cut (t) using the optimization routines. The formulated problem of face milling operation includes two conflicting objectives - to maximize Material Removal Rate (MRR) and to minimize surface roughness (Ra). Among various multi-objective optimization routines, five of them namely Global Criterion Method, Lexicographic Method, Weighted Sum Method, Epsilon Constraint Method and Genetic Algorithm are used in this literature. The outcomes of these multi-objective optimization routines are then compared to reflect their relative attractiveness.