Discrete Control Theory

Research seminar delivered at a workshop hosted Systems Dynamics Society.

Flyer Slides

Using block diagrams, z-transforms and Tsypkin’s relation I show how to obtain the variances of the orders and inventory levels maintained by the proportional order-up-to policy. Assuming demand is uncorrelated and normally distributed, a proportional feedback controller equal to the golden ratio minimizes a weighted sum of the variances. One may also minimize the inventory and capacity costs maintained by this replenishment policy.

• Date: Mar 22nd, 2019, 14.00.

• Event: The spectrum of systems approaches to problem solving - from systems engineering to systems dynamics to systems thinking. A workshop hosted by the UK Chapter of the Systems Dynamics Society and the EPSRC ReRun project.

• Location: Cardiff, United Kingdom.