ICCOPT 2013 Plenary Session Wed.P.AA, Auditorium A, Wednesday, July 31, 09:00-10:00

 Speaker: Paul I. Barton, Process Systems Engineering Laboratory, Massachusetts Institute of Technology, USA
 Title: Relax anything
 Chair: Mihai Anitescu


 Abstract:
Scientific Program

The ability to construct and evaluate convex and concave relaxations of nonconvex functions plays a crucial role in modern deterministic global optimization algorithms. One of the best methods for this is the recursive relaxation of factorable functions proposed by McCormick. We show how the basic ideas of McCormick can be extended to construct and evaluate convex and concave relaxations of many different classes of functions, such as parametric solutions of algebraic equations and differential equations. We also discuss the implications of this capability for novel global optimization approaches. Finally, we also discuss current limitations and targets for the development for improved relaxation procedures.


 Short Bio:
Scientific Program

Paul Barton is the Lammot du Pont Professor of Chemical Engineering and Director of the Process Systems Engineering Laboratory at MIT, where he has been since 1992. He received his Ph.D. from the Centre for Process Systems Engineering at Imperial College, London University in 1992. Barton's research interests include hybrid discrete/continuous dynamic systems; numerical analysis of ordinary differential, differential-algebraic and partial differential-algebraic equations; sensitivity analysis and automatic differentiation; global, mixed-integer and dynamic optimization theory and algorithms; and open process modeling software. Some of the applications his group is currently focusing on include energy systems engineering, continuous pharmaceutical manufacturing and nano-scale systems engineering. He has received a number of awards, including the Outstanding Young Researcher Award in 2004 and the Computing in Chemical Engineering Award in 2011, both from AIChE's CAST Division. He served as Director for AIChE's CAST Division from 2001-2004 and is currently a subject editor for Optimal Control Applications and Methods and associate editor for Journal of Global Optimization and Journal of Optimization Theory and Applications.


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