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 …

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 …

Optimal resource allocation for power-efficient MC-NOMA with imperfect channel state information

Z Wei, DWK Ng, J Yuan… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we study power-efficient resource allocation for multicarrier non-orthogonal
multiple access systems. The resource allocation algorithm design is formulated as a non …

Efficient global optimization of expensive black-box functions

DR Jones, M Schonlau, WJ Welch - Journal of Global optimization, 1998 - Springer
In many engineering optimization problems, the number of function evaluations is severely
limited by time or cost. These problems pose a special challenge to the field of global …

[KNIHA][B] Convex analysis and global optimization

H Tuy, T Hoang, T Hoang, V Mathématicien, T Hoang… - 1998 - Springer
Optimization has been expanding in all directions at an astonishing rate during the last few
decades. New algorithmic and theoretical techniques have been developed, the diffusion …

Branching and bounds tighteningtechniques for non-convex MINLP

P Belotti, J Lee, L Liberti, F Margot… - Optimization Methods & …, 2009 - Taylor & Francis
Many industrial problems can be naturally formulated using mixed integer non-linear
programming (MINLP) models and can be solved by spatial Branch&Bound (sBB) …

A comparative analysis of optimization solvers

R Anand, D Aggarwal, V Kumar - Journal of Statistics and …, 2017 - Taylor & Francis
Optimization software provides better design and development of optimization solutions for
real-life problems. The software generates different solutions under different constraints. An …

A global optimization method, αBB, for general twice-differentiable constrained NLPs—I. Theoretical advances

CS Adjiman, S Dallwig, CA Floudas… - Computers & Chemical …, 1998 - Elsevier
In this paper, the deterministic global optimization algorithm, αBB (α-based Branch and
Bound) is presented. This algorithm offers mathematical guarantees for convergence to a …