Analysis of Response Robustness for a Multi-Objective Mathematical Model of Dynamic Cellular Manufacturing

Document Type : Research Paper


1 Assistant Professor, Department of Industrial Management, Qazvin Branch, Islamic Azad University, Qazvin, Iran.

2 Department of Industrial Management, Science and Research Branch, Islamic Azad University, Tehran, Iran



The multi-objective optimization problem is the main purpose of generating an optimal set of targets known as Pareto optimal frontier to be provided the ultimate decision-makers. The final selection of point of Pareto frontier is usually made only based on the goals presented in the mathematical model to implement the considered system by the decision-makers. In this paper, a mathematical model is presented and analyzed to design manufacturing cells by considering two non-contiguous objectives and switch among cellular pieces. Cooperation among workers in a cell can have a significant effect on the operation completion time. Therefore, one of the important points of using the cellular manufacturing system is to control all system pieces during the manufacturing process. It implies that the number of labors, sorts of apparatus, and parts given to a cell must be at administrative level.  It means that the number of workers, types of machinery, and parts devoted to a cell must be at managerial level. To analyze and evaluate the robustness of the manufactured solutions, Monte Carlo simulation as robustness analysis technique has been used. Finally, the result of solving and analyzing the problem is presented in the frame of the case study of Emersun Company.