Modeling of Bernoulli production line with rework loop for real-time work-in-process optimization in permutation flowshop

In order to improve the production performance, the permutation flowshop needs to be designed to reschedule the production release plan in real-time without work-in-process (WIP) explosion. To achieve this goal, this research aims to construct the model predictive control for discrete-event by the Bernoulli's theory, real-time WIP in order to generate the optimized production release plan. Firstly, the state expression function and reliability model of the operator-based combined machines are defined. Secondly, the Bernoulli's theory is adopted to calculate the states of the machines and the buffers. Finally, the simulation results show that the model predictive control for discrete-event is feasible and effective. This model can provide theoretical support for WIP optimization and efficient operation of the actual permutation flowshop with re-entrant links.