Christodoulos Floudas |
Global Optimization in the 21 st Century: Advances and ChallengesProf. Christodoulos Floudas, Princeton University |
Abstract: |
It is now established that Global Optimization has
ubiquitous applications not only in Chemical Engineering but also across
all branches of engineering, applied sciences, and sciences (e.g. see the
textbook by Floudas 2000). As a result, we have experienced significant
interest in new theoretical advances, algorithmic and implementation
related investigations, and their application to important scientific
problems. In this keynote presentation, we will provide an overview of the
research progress in global optimization. The focus will be on important
contributions during the last five years, and will provide a perspective
for future research opportunities. The overview will cover areas of (a)
twice continuously differentiable constrained non-linear optimization, (b)
mixed-integer nonlinear optimization, (c) optimization with
differential-algebraic models, (d) optimization with grey/black/nonfactorable
models, and (e) bilevel nonlinear optimization. Subsequently, we will
present our recent fundamental advances in (i) improved convex
underestimation approaches that include convex envelope results for
multilinear functions, and a piecewise quadratic convex underestimator for
twice continuously differentiable functions, and (ii) the recently
proposed novel generalized BB framework. Computational studies will
illustrate the potential of these advances. |
Biography: |
![]() |