Abstract
This chapter aims to apply control principles in the discrete-time control of Supply Chains. The primary objective of the control is to keep the inventory levels (state variables) steady at their predetermined values and reduce any deviations to zero in the shortest possible time. The disturbances are induced by demand deviations from the planned/anticipated levels. The replenishment flows are the control variables. Thus, the control action is very similar to a “Linear Regulator with zero set-point”. A novel development in this chapter is the use of direct Operator methods to solve the system Difference Equations, thereby obviating the need for Z-Transforms, block diagrams and transfer functions of classical control theory. This chapter provides a novel application of control theory as well as an easier method of solution.
Reference11 articles.
1. Nilakantan, Kannan; Enhancing Supply Chain performance with improved Order-control Policies, International Journal of System Science Sep2010, Vol 41-9, p 1099-1113, Taylor and Francis
2. Nilakantan, Kannan; Replenishment Policies for Warehouse Systems under Cyclic demand, International Journal of Business Performance and Supply Chain Modelling, 2013,Inderscience, Vol 5-2, pp 148-176
3. Nilakantan, Kannan; Supply Chains subject to Demand Shocks, International Journal of Logistics Systems and Management, 2015, Inderscience, Vol 21-2, pp133-159
4. Nilakantan, Kannan; Supply Chains under Demands with Trend Components, and Robust Controls, Annals of Management Science, International Centre for Business and Management Excellence, Franklin, Tennessee, USA.Vol 3-2, Dec 2014, pp 27-64
5. Nilakantan, Kannan; Warehouse Control Systems for General Forms of Demand, International Journal of Operations and Quantitative Management, 2014, INFOMS, USA, Vol 20–4, pp 273–299,Dec 2014