Mathematical Model for Multi-Objective Optimization of Facility Allocation in Flexible Manufacturing Systems with Collaborative Robots

The model proposed in this study addresses the complex task of job-machine assignment in flexible manufacturing systems (FMS) enhanced with collaborative robots (cobots). It aims to optimize three critical performance metrics simultaneously: makespan, energy consumption, and resource utilization. The model formulates these objectives as a multi-objective optimization problem, with each objective weighted to reflect its importance in the manufacturing process. The primary objective is to minimize makespan, representing the total time required to complete all jobs, while also minimizing energy consumption and maximizing resource utilization. By considering these objectives comprehensively, the model provides a valuable framework for manufacturers to make informed decisions about job allocation, leveraging the capabilities of both traditional machines and cobots. This approach enhances the efficiency and sustainability of FMS, aligning with the trend of automation and collaboration between human workers and robotic counterparts. The proposed model contributes to the optimization of manufacturing processes in an era of increasing automation and technological advancements.