Optimal control of a two-stage hybrid manufacturing system model

Extending previous work for an optimal control problem of a single-stage system, we consider a two-stage manufacturing system where each job has a physical state characterized by time-driven dynamics and a temporal state by event-driven dynamics. We derive necessary conditions for optimality and develop some new algorithms for explicit solution of the problem that make use of Bezier approximation techniques. In addition, we establish some properties of the optimal control sequence that have interesting implications.