Multi-objective linear mathematical programming for solving U-shaped robotic assembly line balancing

In recent years, robots have been an eminent solution for manufacturers to facilitate their process and focus on a variety of their products. As the importance of robot usages, our paper focuses on the robotics assembly line. In this paper, we have considered the cycle time, robot operational costs, robot purchase costs, and robot energy consumptions. In the following, we add robot failure rates to have an efficient and highquality assembly line. The presented model is a multiobjective problem, therefore, the linear programming methods as goal programming and augmented εconstraint method are applied to optimize the problem. In the end, we have considered a case study to examine and show the applicability of the proposed model on the real situation.