An Overview of Advances in Global Optimization During 2003-2008

作者：Floudas C A^*; Gounaris C E

来源：Workshop on Global Optimization - Methods and Applications, 2007-05-11 to 2007-05-12.

• Global optimization
• NLP
• MINLP
• GDP
• DAE
• SIP
• Nonfactorable models
• Bilevel optimization
• Nonconvexities
• Convex envelopes
• Convex underestimation
• alpha BB theory

This chapter presents an overview of the research progress in deterministic global optimization during the years 2003-2008, and a brief account of our recent research contributions. The review part covers the areas of twice continuously differentiable nonlinear optimization, mixed-integer nonlinear optimization, optimization with differential-algebraic models, semi-infinite programming, optimization with grey box/non-factorable models, and bilevel nonlinear optimization. In the research contributions part, we discuss the convex and concave envelopes for tri-linear monomials, convex underestimators for trigonometric functions, p-alpha BB and g-alpha BB global optimization approaches, tight convex underestimators for C(2)-continuous functions, optimal functional forms of convex underestimators, and the convexity of products of univaxiate functions.

• 出版日期2009