Einladung zum Vortrag im Kolloquium Technische Kybernetik
Global dynamic optimization
and mixed-integer dynamic optimization
Prof. Paul I. Barton
Process Systems Engineering Laboratory
Department of Chemical Engineering
Massachusetts Institute of Technology, Cambridge, USA
Zeit: Dienstag · 17. 10. 2006 · 16:00 Uhr
Ort: IST-Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
Optimization problems with ordinary differential equations (ODEs) embedded are ubiquitous in many science and engineering disciplines. These optimization problems are usually nonconvex and often exhibit multiple local minima, some of which are suboptimal. This talk will discuss the theory and implementation of algorithms that can guarantee locating a global optimal solution of nonconvex optimization problems with ODEs embedded. In particular, we will discuss the theory required to construct convex relaxations of nonconvex functionals with ODEs embedded, and how the estimates generated by these relaxations can be computed practically.
Recent problem formulations in process synthesis, design, operations and control have created an increasing demand for algorithms capable of optimizing a dynamic system coupled with discrete decisions; these problems are termed Mixed-Integer Dynamic Optimization (MIDO). In the second half of this talk we will discuss how convex relaxations of nonconvex functionals with ODEs embedded can also be exploited to develop deterministic global optimization algorithms for MIDO.
Paul Barton is Professor of Chemical Engineering 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. He has held Visiting Professor appointments at CNRS-ENSIC, Nancy, France and EPFL, Lausanne, Switzerland. He has industrial experience with BP and Air Products, and has consulted for major corporations including Dow Chemical and Aspen Technology. In 2004 he was awarded the Outstanding Young Researcher Award by AIChE's CAST Division. 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 design of micro-chemical systems for man-portable power generation, optimization of natural gas production, processing and distribution networks, nuclear hydrogen generation and systems biology. He served as Director of AIChE's Computing and Systems Technology Division from 2001-2004 and is currently Area Editor for the journal Simulation. He is author or co-author of over 70 articles in refereed journals. He has been very active in the design and the development of process modeling software, having been the original author of gPROMS, and having led the development of ABACUSS/JACOBIAN and DAEPACK at MIT, all of which are now commercial products.