Optimal Repair Rate for a Repairable Machine with Nonlinear State Equation

This work deals with two models of a single machine subject to breakdowns. The first model is a binary-state model while the second one is a multi-state model. Breakdowns are followed by repairs. The systems under study are of the tracking type. We use nonlinear model predictive control to determine the optimal repair rates that keep the variables as close as possible to their targets. Numerical illustrations with sensitivity analysis are used to assess the effect of the system parameters on the optimal solution.