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

This manuscript introduces ANTIGONE, Algorithms for coNTinuous/Integer Global Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization framework. ANTIGONE is the evolution of the Global Mixed-Integer Quadratic Optimizer, GloMIQO, to general nonconvex terms. The purp...

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Bibliographic Details
Published in:Journal of global optimization 2014-07, Vol.59 (2-3), p.503-526
Main Authors: Misener, Ruth, Floudas, Christodoulos A.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Computation
Computer Science
Evolution
Inheritances
Integers
Libraries
Mathematics
Mathematics and Statistics
Nonlinear equations
Operations Research/Decision Theory
Optimization
Real Functions
Scholarships & fellowships
Software
Solvers
Studies
Texts
Variables
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Summary:This manuscript introduces ANTIGONE, Algorithms for coNTinuous/Integer Global Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization framework. ANTIGONE is the evolution of the Global Mixed-Integer Quadratic Optimizer, GloMIQO, to general nonconvex terms. The purpose of this paper is to show how the extensible structure of ANTIGONE realizes our previously-proposed mixed-integer quadratically-constrained quadratic program and mixed-integer signomial optimization computational frameworks. To demonstrate the capacity of ANTIGONE, this paper presents computational results on a test suite of 2 , 571 problems from standard libraries and the open literature; we compare ANTIGONE to other state-of-the-art global optimization solvers.
ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-014-0166-2