Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO
This manuscript reviews recent advances in deterministic global optimization for Mixed-
Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free …
Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free …
ANTIGONE: algorithms for continuous/integer global optimization of nonlinear equations
R Misener, CA Floudas - Journal of Global Optimization, 2014 - Springer
This manuscript introduces ANTIGONE, Algorithms for coNTinuous/Integer Global
Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization …
Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization …
A polyhedral branch-and-cut approach to global optimization
M Tawarmalani, NV Sahinidis - Mathematical programming, 2005 - Springer
A variety of nonlinear, including semidefinite, relaxations have been developed in recent
years for nonconvex optimization problems. Their potential can be realized only if they can …
years for nonconvex optimization problems. Their potential can be realized only if they can …
Biconvex sets and optimization with biconvex functions: a survey and extensions
J Gorski, F Pfeuffer, K Klamroth - Mathematical methods of operations …, 2007 - Springer
The problem of optimizing a biconvex function over a given (bi) convex or compact set
frequently occurs in theory as well as in industrial applications, for example, in the field of …
frequently occurs in theory as well as in industrial applications, for example, in the field of …
General heuristics for nonconvex quadratically constrained quadratic programming
We introduce the Suggest-and-Improve framework for general nonconvex quadratically
constrained quadratic programs (QCQPs). Using this framework, we generalize a number of …
constrained quadratic programs (QCQPs). Using this framework, we generalize a number of …
Complete search in continuous global optimization and constraint satisfaction
A Neumaier - Acta numerica, 2004 - cambridge.org
This survey covers the state of the art of techniques for solving general-purpose constrained
global optimization problems and continuous constraint satisfaction problems, with …
global optimization problems and continuous constraint satisfaction problems, with …
[图书][B] Global optimization: theory, algorithms, and applications
M Locatelli, F Schoen - 2013 - SIAM
The first systematic overviews on global optimization appeared in 1975–1978 thanks to two
fundamental volumes titled Towards Global Optimization (Dixon & Szegö, 1975, 1978). At …
fundamental volumes titled Towards Global Optimization (Dixon & Szegö, 1975, 1978). At …
GloMIQO: Global mixed-integer quadratic optimizer
R Misener, CA Floudas - Journal of Global Optimization, 2013 - Springer
This paper introduces the global mixed-integer quadratic optimizer, GloMIQO, a numerical
solver addressing mixed-integer quadratically-constrained quadratic programs to ε-global …
solver addressing mixed-integer quadratically-constrained quadratic programs to ε-global …
Pooling problem: Alternate formulations and solution methods
The pooling problem, which is fundamental to the petroleum industry, describes a situation
in which products possessing different attribute qualities are mixed in a series of pools in …
in which products possessing different attribute qualities are mixed in a series of pools in …
APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes
R Misener, JP Thompson, CA Floudas - Computers & Chemical …, 2011 - Elsevier
Our recent work globally optimized two classes of large-scale pooling problems: a
generalized pooling problem treating the network topology as a decision variable and an …
generalized pooling problem treating the network topology as a decision variable and an …