**3. Production Scheduling under Technological Machine Failure Constraint**

### *3.1. Objectives*

This paper formulates a predictive production scheduling process model in the job-shop environment under technological machine failure established with the help of Markov chains and ARIMA models. Our solutions predict the time of machine failure, as well as the time of repair, and constitute an alternative method to the models proposed in the literature. The objective function of our predictive production scheduling is to minimize the makespan, i.e., to produce a schedule with a minimum completion time of all jobs.
