A Chance Constraint Approach to Multi Response Optimization Based on a Network Data Envelopment Analysis

In this paper, a novel approach for multi response optimization is presented. In the proposed approach, response variables in treatments combination occur with a certain probability. Moreover, we assume that each treatment has a network style. Because of the probabilistic nature of treatment combination, the proposed approach can compute the efficiency of each treatment under the desirable reliability. The proposed approach has been constructed based on a network data envelopment analysis and chance constraint method. Finally, a numerical example shows the proposed method applicability on a multi response problem. The results demonstrate that the proposed approach is a capable method for analyzing the best treatment. Moreover, the results show that the proposed approach has better performance in efficient treatment determination than other existing methods.