A Novel Approach in Multi Response Optimization for Correlated Categorical Data

Abstract

The main purpose of this paper is the optimization of multiple categorical correlated responses. So, a heuristic approach and log-linear model has been used to simultaneous estimation of responses surface parameters. Parameters estimation has been performed with the aim of maximizing the number of concordance. The concordance means that the joint probability for the occurrence of dependent responses in each treatment is more than the otherprobabilities ​​inthe same treatment. The second step of this research is the optimization of multi correlated responses for categorical data using some practical Meta heuristic algorithms such as Simulated Annealing, Tabu Search and Genetic Algorithm. Using each Meta heuristic algorithm, best controllable factors are selectedto maximizing the joint probability of success. Three simulated numerical examples with different sizes have been used to describe the proposed algorithms. Results show the superiority of the joint success probability values in the Tabu Search algorithm comparing to the other approaches.