Global Optimization of Mixed-Integer Polynomial Programs via Quadratic Reformulation

31st European Symposium on Computer Aided Process Engineering - Computer Aided Chemical Engineering ◽

10.1016/b978-0-323-88506-5.50104-2 ◽

2021 ◽

pp. 655-661

Author(s):

Tanuj Karia ◽

Claire S. Adjiman ◽

Benoît Chachuat

Keyword(s):

Global Optimization ◽

Mixed Integer ◽

Polynomial Programs ◽

Integer Polynomial

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Univariate parameterization for global optimization of mixed-integer polynomial problems

European Journal of Operational Research ◽

10.1016/j.ejor.2013.03.042 ◽

2013 ◽

Vol 229 (3) ◽

pp. 613-625 ◽

Cited By ~ 10

Author(s):

João P. Teles ◽

Pedro M. Castro ◽

Henrique A. Matos

Keyword(s):

Global Optimization ◽

Mixed Integer ◽

Integer Polynomial

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Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations

Mathematical Programming ◽

10.1007/s10107-012-0555-6 ◽

2012 ◽

Vol 136 (1) ◽

pp. 155-182 ◽

Cited By ~ 62

Author(s):

Ruth Misener ◽

Christodoulos A. Floudas

Keyword(s):

Global Optimization ◽

Piecewise Linear ◽

Mixed Integer ◽

Quadratic Programs ◽

Quadratically Constrained

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A Global-Optimization Algorithm for Mixed-Integer Nonlinear Programs Having Separable Non-convexity

Lecture Notes in Computer Science - Algorithms - ESA 2009 ◽

10.1007/978-3-642-04128-0_10 ◽

2009 ◽

pp. 107-118 ◽

Cited By ~ 7

Author(s):

Claudia D’Ambrosio ◽

Jon Lee ◽

Andreas Wächter

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Mixed Integer ◽

Global Optimization Algorithm ◽

Nonlinear Programs

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FPTAS for mixed-integer polynomial optimization with a fixed number of variables

Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm - SODA '06 ◽

10.1145/1109557.1109638 ◽

2006 ◽

Cited By ~ 2

Author(s):

J. A. De Loera ◽

R. Hemmecke ◽

M. Köppe ◽

R. Weismantel

Keyword(s):

Polynomial Optimization ◽

Fixed Number ◽

Mixed Integer ◽

Integer Polynomial

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A Lagrangean based branch-and-cut algorithm for global optimization of nonconvex mixed-integer nonlinear programs with decomposable structures

Journal of Global Optimization ◽

10.1007/s10898-007-9203-8 ◽

2007 ◽

Vol 41 (2) ◽

pp. 163-186 ◽

Cited By ~ 24

Author(s):

Ramkumar Karuppiah ◽

Ignacio E. Grossmann

Keyword(s):

Global Optimization ◽

Branch And Cut ◽

Mixed Integer ◽

Nonlinear Programs ◽

Decomposable Structures

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Global Optimization of Integer and Mixed-Integer Bi-Level Programming Problems via Multi-Parametric Programming

Computer Aided Chemical Engineering - 10th International Symposium on Process Systems Engineering: Part A ◽

10.1016/s1570-7946(09)70250-0 ◽

2009 ◽

pp. 177-182 ◽

Cited By ~ 4

Author(s):

Luis F. Domínguez ◽

Efstatios N. Pistikopoulos

Keyword(s):

Global Optimization ◽

Parametric Programming ◽

Mixed Integer

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Box-Constrained Mixed-Integer Polynomial Optimization Using Separable Underestimators

Integer Programming and Combinatorial Optimization - Lecture Notes in Computer Science ◽

10.1007/978-3-319-07557-0_17 ◽

2014 ◽

pp. 198-209 ◽

Cited By ~ 3

Author(s):

Christoph Buchheim ◽

Claudia D’Ambrosio

Keyword(s):

Polynomial Optimization ◽

Mixed Integer ◽

Integer Polynomial

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Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems

Journal of Global Optimization ◽

10.1007/s10898-018-0668-4 ◽

2018 ◽

Vol 74 (3) ◽

pp. 443-465 ◽

Cited By ~ 6

Author(s):

Styliani Avraamidou ◽

Efstratios N. Pistikopoulos

Keyword(s):

Global Optimization ◽

Optimization Problems ◽

Linear Optimization ◽

Mixed Integer ◽

Optimization Approach ◽

Linear Optimization Problems ◽

Mixed Integer Linear Optimization ◽

Integer Linear Optimization

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A new local and global optimization method for mixed integer quadratic programming problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.07.062 ◽

2010 ◽

Vol 217 (6) ◽

pp. 2501-2512 ◽

Cited By ~ 5

Author(s):

G.Q. Li ◽

Z.Y. Wu ◽

J. Quan

Keyword(s):

Global Optimization ◽

Quadratic Programming ◽

Optimization Method ◽

Mixed Integer ◽

Global Optimization Method ◽

Integer Quadratic Programming ◽

Quadratic Programming Problems ◽

Mixed Integer Quadratic Programming

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Global optimization of mixed-integer nonlinear programs: A theoretical and computational study

Mathematical Programming ◽

10.1007/s10107-003-0467-6 ◽

2004 ◽

Vol 99 (3) ◽

pp. 563-591 ◽

Cited By ~ 329

Author(s):

Mohit Tawarmalani ◽

Nikolaos V. Sahinidis

Keyword(s):

Global Optimization ◽

Computational Study ◽

Mixed Integer ◽

Nonlinear Programs

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