Global optimization in the 21st century: Advances and challenges

被引：0

作者：

Floudas, CA ^{[1
]}

Akrotiriankis, IG ^{[1
]}

Caratzoulas, S ^{[1
]}

Meyer, CA ^{[1
]}

Kallrath, J ^{[1
]}

机构：

[1] Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA

来源：

EUROPEAN SYMPOSIUM ON COMPUTER-AIDED PROCESS ENGINEERING - 14 | 2004年 / 18卷

关键词：

global optimization; nonlinear optimization; mixed-integer nonlinear optimization; differential-algebraic optimization; optimization with nonfactorable/grey box models; bilevel nonlinear optimization; nonconvexities; convex envelopes; convex underestimators; trilineax monomials; trigonometric functions; twice continuously differentiable functions;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents an overview of the research progress in global optimization during the last five years (1998-2003), and a brief account of our recent research contributions. The review part covers the areas of (a) twice continuously differentiable nonlinear optimization, (b) mixed-integer nonlinear optimization, (c) optimization with differential-algebraic models, (d) optimization with grey box/black box/nonfactorable models, and (e) bilevel nonlinear optimization. Our research contributions part focuses on (i) improved convex underestimation approaches that include convex envelope results for multilinear functions, convex relaxation results for trigonometric functions, and a piecewise quadratic convex underestimator for twice continuously differentiable functions, and (d) the recently proposed novel generalized alphaBB framework. Computational studies will illustrate the potential of these advances.

引用

页码：23 / 51

页数：29

共 131 条

[1] A Lagrangian approach to the pooling problem [J].