Control Theoretical Modeling of Transient Behavior of Production Planning and Control: A Review

To remain competitive, manufacturers need to adapt to increasingly dynamic and turbulent markets; therefore, production engineers and business managers need tools for mathematically modeling, analyzing and designing agile and changeable production systems that incorporate policies that are robust in the presence of disturbances and mitigate the negative impacts of turbulence in the production environment. The spectrum of potential contributions of control theory to understanding the dynamic behavior of production systems in the presence of turbulence is broad. In this paper, the focus is on classical control theoretical modeling of the transient behavior and fundamental dynamics of production planning and control, which generally is considered to include scheduling, sequencing, loading and controlling. Publications in this area in recent years are reviewed, with contributions reported in publications of the CIRP (International Academy for Production Research) receiving particular emphasis.