[图书][B] Relaxation and decomposition methods for mixed integer nonlinear programming

I Nowak - 2005 - books.google.com
Nonlinearoptimizationproblemscontainingb… are called mixed integer nonlinear programs
(MINLP). Such problems arise in many? elds, such as process industry, engineering design …

Enhancing RLT relaxations via a new class of semidefinite cuts

HD Sherali, BMP Fraticelli - Journal of Global Optimization, 2002 - Springer
In this paper, we propose a mechanism to tighten Reformulation-Linearization Technique
(RLT) based relaxations for solving nonconvex programming problems by importing …

[HTML][HTML] A clique algorithm for standard quadratic programming

A Scozzari, F Tardella - Discrete Applied Mathematics, 2008 - Elsevier
A standard Quadratic Programming problem (StQP) consists in minimizing a (nonconvex)
quadratic form over the standard simplex. For solving a StQP we present an exact and a …

Dual bounds and optimality cuts for all-quadratic programs with convex constraints

I Nowak - Journal of Global Optimization, 2000 - Springer
A central problem of branch-and-bound methods for global optimization is that often a lower
bound do not match with the optimal value of the corresponding subproblem even if the …

A two-phase sequential algorithm for global optimization of the standard quadratic programming problem

J Júdice, V Sessa, M Fukushima - Journal of Global Optimization, 2024 - Springer
We introduce a new sequential algorithm for the Standard Quadratic Programming Problem
(StQP), which exploits a formulation of StQP as a Linear Program with Linear …

LP-based tractable subcones of the semidefinite plus nonnegative cone

A Tanaka, A Yoshise - Annals of operations research, 2018 - Springer
The authors in a previous paper devised certain subcones of the semidefinite plus
nonnegative cone and showed that satisfaction of the requirements for membership of those …

Indefinite knapsack separable quadratic programming: methods and applications

J Jeong - 2014 - trace.tennessee.edu
Quadratic programming (QP) has received significant consideration due to an extensive list
of applications. Although polynomial time algorithms for the convex case have been …

[PDF][PDF] TRACE: Tennessee Research and Creative Exchange

J Jeong - academia.edu
Quadratic programming (QP) has received significant consideration due to an extensive list
of applications. Although polynomial time algorithms for the convex case have been …

[PDF][PDF] A NECESSARY AND SUFFICIENT CONDITION FOR A POINT TO BE A GLOBAL MAXIMIZER OF A CONSTRAINED OPTIMIZATION

SUN Churen - Journal of Systems Science and Complexity, 2005 - academia.edu
It is difficult to judge whether a given point is a global maximizer of an unconstrained
optimization problem. This paper deals with this problem by considering global information …

[引用][C] 求解标准二次优化问题的割平面算法

穆学文, 刘三阳, 张亚玲 - 数学的实践与认识, 2005