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A review of recent advances in global optimization

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TLDR
This paper presents an overview of the research progress in deterministic global optimization during the last decade (1998-2008).
Abstract
This paper presents an overview of the research progress in deterministic global optimization during the last decade (1998---2008). It 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/nonfactorable models, and bilevel nonlinear optimization.

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Journal ArticleDOI

Non-convex mixed-integer nonlinear programming: A survey

TL;DR: In this paper, the authors survey the literature on non-convex mixed-integer nonlinear programs, discussing applications, algorithms, and software, and special attention is paid to the case in which the objective and constraint functions are quadratic.
Journal ArticleDOI

Optimal power flow: a bibliographic survey I

TL;DR: Optimal power flow (OPF) has become one of the most important and widely studied nonlinear optimization problems as mentioned in this paper, and there is an extremely wide variety of OPF formulations and solution methods.
Journal ArticleDOI

ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations

TL;DR: The purpose of this paper is to show how the extensible structure of ANTIGONE realizes the authors' previously-proposed mixed- integer quadratically-constrained quadratic program and mixed-integer signomial optimization computational frameworks.
Journal ArticleDOI

Optimal power flow: A bibliographic survey II non-deterministic and hybrid methods

TL;DR: Optimal power flow (OPF) has become one of the most important and widely studied nonlinear optimization problems as discussed by the authors, and there is an extremely wide variety of OPF formulations and solution methods.
Journal ArticleDOI

Reverse engineering and identification in systems biology: strategies, perspectives and challenges

TL;DR: This contribution aims to compare and highlight the different perspectives and contributions from these fields, with emphasis on two key questions: why are reverse engineering problems so hard to solve, and what methods are available for the particular problems arising from systems biology.
References
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Journal ArticleDOI

Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces

TL;DR: In this article, a new heuristic approach for minimizing possibly nonlinear and non-differentiable continuous space functions is presented, which requires few control variables, is robust, easy to use, and lends itself very well to parallel computation.
Journal ArticleDOI

Efficient Global Optimization of Expensive Black-Box Functions

TL;DR: This paper introduces the reader to a response surface methodology that is especially good at modeling the nonlinear, multimodal functions that often occur in engineering and shows how these approximating functions can be used to construct an efficient global optimization algorithm with a credible stopping rule.
Book

Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)

TL;DR: This volume explores the differential evolution (DE) algorithm in both principle and practice and is a valuable resource for professionals needing a proven optimizer and for students wanting an evolutionary perspective on global numerical optimization.
Book

Differential Evolution: A Practical Approach to Global Optimization

TL;DR: The differential evolution (DE) algorithm is a practical approach to global numerical optimization which is easy to understand, simple to implement, reliable, and fast as discussed by the authors, which is a valuable resource for professionals needing a proven optimizer and for students wanting an evolutionary perspective on global numerical optimisation.
Journal ArticleDOI

A plant-wide industrial process control problem

TL;DR: In this article, a model of an industrial chemical process for the purpose of developing, studying and evaluating process control technology is presented, which is well suited for a wide variety of studies including both plantwide control and multivariable control problems.
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