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Mixed-Integer Nonlinear Programming Problems (MINLPs)
1999Mixed-integer problems are those that involve both continuous and integer variables. The introduction of integer variables allows the modeling of complex decisions through graph theoretic representations denoted as superstructures (Floudas, 1995). This representation leads to the simultaneous determination of the optimal structure of a network and its ...
Christodoulos A. Floudas +8 more
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Tighter relaxations in mixed-integer nonlinear programming
2020Mixed-integer nonlinear programming (MINLP) is one of the most important classes of mathematical optimization problems that combines difficulties from mixed-integer linear programming and nonlinear programming, namely optimizing over a set that is described by integrality, linear, and nonlinear restrictions.
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Computational Experience in Nonlinear Mixed Integer Programming
1997An interior-point algorithm within a branch-and-bound framework for solving nonlinear mixed integer programs is described. In contrast to solving the relaxation to optimality at each tree node, the relaxation is only solved to near-optimality. Analogous to using advanced bases for warmstart solutions in the case of linear MIP, a “dynamic” collection of
Eva K. Lee, John Mitchell
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Mixed integer programming approaches for nonlinear and stochastic programming.
2009In this thesis we study how to solve some nonconvex optimization problems by using methods that capitalize on the success of Linear Programming (LP) based solvers for Mixed Integer Linear Programming (MILP). A common aspect of our solution approaches is the use, development and analysis of small but strong extended LP/MILP formulations and ...
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MINLPLib—A Collection of Test Models for Mixed-Integer Nonlinear Programming
INFORMS Journal on Computing, 2003Michael R Bussieck
exaly
Mixed integer nonlinear programming tools: an updated practical overview
Annals of Operations Research, 2013Claudia D’Ambrosio +2 more
exaly

