The application of optimisation engines and numerical techniques to supply chains is becoming increasingly common. To understand more, google one of:
What you'll find is a collection of technical papers formulating mathematical models and describing how these are applied in practice. The trick is to build the right mathematical model for your business, and apply the right optimisation engine to solve the right problem.
We have seen operations research applied in practice with varying levels of success, and can assist with solution design and deployment using commercial optimisation tools (eg. Manugistics, Aimms, CPLEX), or our own optimisation engines which apply:
We have examples of optimisation in practice on our Supply page, including: