Max-plus-linear model-based predictive control for constrained HVLV manufacturing systems

In this paper, a max-plus-linear model predictive control strategy is proposed for High-Variety, Low-Volume (HVLV) systems. Firstly, using the (max,+) algebra, a direct generation of event-timing equations for deterministic and decision-free HVLV manufacturing systems is obtained. Then, a linear optimization method is presented. It is based on canonical forms for Max-Min-Plus-Scaling (MMPS) functions with linear constraints on the inputs. The approach aims at solving several linear programming problems and its validity is illustrated by a simulation example. Finally, a discussion of results, conclusions and perspectives are given.