Control Theory Applications for Dynamic Production Systems

7 Application Examples

The examples in previous chapters have been focused on illustrating the basic theoretical developments presented. In this chapter, several more complex application examples are presented that further illustrate modeling, analyzing, and designing the dynamic behavior of production systems. These application examples show how control theoretical modeling and analyses lead to better understanding of the dynamic behavior of production systems and how the dynamic behavior of such systems can be designed from both time and frequency perspectives.

In the first application example, relationships are explored between adjustment period and time to recover from disturbances and stability in replanning for lead time regulation in a production system. The goal is to quantitatively assess the potential of digitalization to reduce delays in replanning and decrease the time to recover from disturbances. The second application example is focused on modeling and analyzing the dynamic behavior of decision-making and adjustment of steel coil deliveries in a production network with inventory information sharing. This example illustrates the use of matrices of transfer functions in understanding dynamic interactions in a network of two steel companies and two galvanizing lines when demand for galvanizing steel coils fluctuates at various frequencies. The third application example illustrates modeling and analysis of the dynamic behavior of a network of production work systems ...