Kriging metamodeling in multiple-objective simulation optimization

Abstract

This paper describes the application of Kriging metamodeling in multiple-objective simulation optimization. An Arena-based simulation model of an (s, S) inventory system is utilized to demonstrate the capabilities of Kriging metamodeling as a simulation tool. Response surface methodology and Kriging metamodeling are compared to determine the situations in which one approach might be preferred over the other. The optimization approaches described here have the objective of finding the optimal values of reorder point s and maximum inventory level S so as to minimize the total cost of the inventory system while maximizing customer satisfaction. This paper describes two alternative approaches to utilizing Kriging methodology with multiple-objective optimization in simulation studies.