ON-LINE OPTIMIZATION VIA OFF-LINE OPTIMIZATION !! 
A guided tour to multi-parametric mixed integer and continuous programming

Stratos Pistikopoulos
Centre for Process Systems Engineering
Department of Chemical Engineering
Imperial College London

In this presentation, we will first give an overview of the mathematical foundations of multi-parametric programming for different classes of mathematical models, such as quadratic, mixed-integer linear, mixed-integer quadratic, and general convex continuous and mixed-integer optimization problems. We will then discuss some new theoretical results for bi-level and global parametric optimization problems. Finally, we will show the tremendous potential of parametric programming in the context of model based optimal control.