A Glance at Trends Manufacturing Systems Modeling and Optimization

Abstract

In this chapter, the authors develop an analysis of the main optimization methods used in flexible manufacturing systems (FMS) problems. The results are obtained from a random sample of more than 100 documents published from 1986 to 2020 dedicated to the optimization of FMS. These are classified by their applications in the most significant fields of this area in analytical methods and heuristic methods. The analysis also addresses some aspects of computational complexity found in ordinary optimization as well as the most common NP-hard problems of the FMS. The results obtained are presented, and the virtual future of the FMS is projected as well as the new challenges and opportunities to venture into this important field of human activity. These are highly representative since they suggest that, despite the continuous growth in the complexity of the models treated, the majority of authors studied here continue using traditional techniques based on scientific optimization methods, leaving aside the emerging techniques of stochastic optimization based on metaheuristics.