Optimization and Engineering Applications (06w5081)


Jiming Peng (University of Illinois at Urbana-Champaign)

(McMaster University)

(Princeton University)

(University of Waterloo)

Yinyu Ye (Stanford University)


Top engineers and mathematicians meet at BIRS this week, November 12 - 16, 2006, to discuss how Optimization, as a powerful modelling and problem solving methodology, has a broad range of applications in management science, industry and engineering. Optimization is a subject that deals with the problem of minimizing or maximizing a certain functions over a set of feasible solutions that is usually determined by functional inequalities. During the past century, optimization has been developed into a mature field that has endless opportunities to positively impact the quality, efficiency of engineering and may result in huge economic benefits. Various branches of the field of optimization have sound theoretical foundation and are featured by extensive collection of sophisticated algorithms and software tools that enable us to tackle real problems in size and complexity that were beyond reality even a decade ago.

Starting in the middle 1980’s, the field of optimization has experienced a revolutionary development, in particular in the area of convex optimization. This was sparked by Karmarkar’s ground-breaking work on interior-point methods (IPMs) for linear optimization, and later accomplished by many excellent optimization experts. The IPM revolution has brought new theoretical and practical powerful tools for solving large classes of optimization problems and led to new research areas. The workshop brings together leading experts from the mathematical and engineering optimization communities to review state of the art, to identify challenges and burning engineering problems that require novel optimization methodologies.

This event is co-organized by Professors Jiming Peng, University of Illinois at Urbana-Champaing; Tamás Terlaky, Canada Research Chair in Optimization, McMaster University, Hamilton, Ontario; Robert Vanderbei, Princeton University; and Henry Wolkowicz University of Waterloo; and Yinyu Ye, Stanford University.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is administered by the Pacific Institute for the Mathematical Sciences, in collaboration with the Mathematics of Information Technology and Complex Systems Network (MITACS), the Berkeley-based Mathematical Science Research Institute (MSRI) and the Instituto de Matematicas at the Universidad Nacional Autonoma de Mexico (UNAM).