Turnpikes in flow control models of unreliable manufacturing systems

This paper establishes a link between the concept of hedging point, introduced in a class of models of unreliable manufacturing flow control, and the concept of turnpike, introduced initially in economic growth models and recently extended to a general class of piecewise deterministic control systems. We establish a turnpike property for a control system where the cost does not depend directly on the control. We show that this turnpike corresponds exactly to the hedging points introduced in the manufacturing flow control literature.