Non-convex mixed-integer nonlinear programming: A survey

S Burer, AN Letchford - Surveys in Operations Research and Management …, 2012 - Elsevier
A wide range of problems arising in practical applications can be formulated as Mixed-
Integer Nonlinear Programs (MINLPs). For the case in which the objective and constraint …

Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO

F Boukouvala, R Misener, CA Floudas - European Journal of Operational …, 2016 - Elsevier
This manuscript reviews recent advances in deterministic global optimization for Mixed-
Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free …

Mixed-integer nonlinear optimization

P Belotti, C Kirches, S Leyffer, J Linderoth, J Luedtke… - Acta Numerica, 2013 - cambridge.org
Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …

[PDF][PDF] Solving mixed-integer quadratic programming problems with IBM-CPLEX: a progress report

C Bliek1ú, P Bonami, A Lodi - Proceedings of the twenty-sixth …, 2014 - researchgate.net
Solving Mixed-Integer Quadratic Programming problems with IBM-CPLEX: a progress report
Page 1 Proceedings of the Twenty-Sixth RAMP Symposium Hosei University, Tokyo, October …

[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 …

Generalized decision rule approximations for stochastic programming via liftings

A Georghiou, W Wiesemann, D Kuhn - Mathematical Programming, 2015 - Springer
Stochastic programming provides a versatile framework for decision-making under
uncertainty, but the resulting optimization problems can be computationally demanding. It …

[图书][B] Electrical transmission system cascades and vulnerability: an operations research viewpoint

D Bienstock - 2015 - SIAM
This monograph explores mathematical issues related to vulnerability analysis of power
grids, with a focus on optimization methods. The target audience is primarily made up of …

An adaptive, multivariate partitioning algorithm for global optimization of nonconvex programs

H Nagarajan, M Lu, S Wang, R Bent… - Journal of Global …, 2019 - Springer
In this work, we develop an adaptive, multivariate partitioning algorithm for solving
nonconvex, Mixed-Integer Nonlinear Programs (MINLPs) with polynomial functions to global …

Some results on the strength of relaxations of multilinear functions

J Luedtke, M Namazifar, J Linderoth - Mathematical programming, 2012 - Springer
We study approaches for obtaining convex relaxations of global optimization problems
containing multilinear functions. Specifically, we compare the concave and convex …

[HTML][HTML] (Global) optimization: historical notes and recent developments

M Locatelli, F Schoen - EURO Journal on Computational Optimization, 2021 - Elsevier
Abstract Recent developments in (Global) Optimization are surveyed in this paper. We
collected and commented quite a large number of recent references which, in our opinion …