A review and comparison of solvers for convex MINLP

J Kronqvist, DE Bernal, A Lundell… - Optimization and …, 2019 - Springer
In this paper, we present a review of deterministic software for solving convex MINLP
problems as well as a comprehensive comparison of a large selection of commonly …

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 …

SCIP: Global optimization of mixed-integer nonlinear programs in a branch-and-cut framework

S Vigerske, A Gleixner - Optimization Methods and Software, 2018 - Taylor & Francis
This paper describes the extensions that were added to the constraint integer programming
framework SCIP in order to enable it to solve convex and nonconvex mixed-integer …

[图书][B] Heuristic algorithms in global MINLP solvers

T Berthold - 2015 - zib.de
In the literature for mixed integer programming, heuristic algorithms (particularly primal
heuristics) are often considered as stand-alone procedures; in that context, heuristics are …

RENS: the optimal rounding

T Berthold - Mathematical Programming Computation, 2014 - Springer
This article introduces rens, the relaxation enforced neighborhood search, a large
neighborhood search algorithm for mixed integer nonlinear programs (MINLPs). It uses a …

Global optimization of mixed-integer nonlinear programs with scip 8

K Bestuzheva, A Chmiela, B Müller, F Serrano… - Journal of Global …, 2023 - Springer
For over 10 years, the constraint integer programming framework SCIP has been extended
by capabilities for the solution of convex and nonconvex mixed-integer nonlinear programs …

Towards globally optimal operation of water supply networks

A Gleixner, H Held, W Huang, S Vigerske - 2012 - opus4.kobv.de
This paper is concerned with optimal operation of pressurized water supply networks at a
fixed point in time. We use a mixed-integer nonlinear programming (MINLP) model …

Analysis of MILP techniques for the pooling problem

SS Dey, A Gupte - Operations Research, 2015 - pubsonline.informs.org
The pq-relaxation for the pooling problem can be constructed by applying McCormick
envelopes for each of the bilinear terms appearing in the so-called pq-formulation of the …

Generalized relax-and-fix heuristic

C Joncour, J Kritter, S Michel, X Schepler - Computers & Operations …, 2023 - Elsevier
This paper introduces a heuristic for mixed-integer mathematical programs, that can be seen
as a generalization of the relax-and-fix heuristic: a sequence of derived subproblems is …