Journal ArticleDOI
Global optimization of MINLP problems in Process Synthesis and Design
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TLDR
Two new methodologies for the global optimization of MINLP models, the Special structure Mixed Integer Nonlinear αBB,SMIN-αBB, and the General structure MixedInteger Nonlinear βBB,GMIN-βBB, are presented.About:
This article is published in Computers & Chemical Engineering.The article was published on 1997-05-20. It has received 137 citations till now. The article focuses on the topics: Global optimization & Nonlinear programming.read more
Citations
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Journal ArticleDOI
Branching and bounds tighteningtechniques for non-convex MINLP
TL;DR: An sBB software package named couenne (Convex Over- and Under-ENvelopes for Non-linear Estimation) is developed and used for extensive tests on several combinations of BT and branching techniques on a set of publicly available and real-world MINLP instances and is compared with a state-of-the-art MINLP solver.
Journal ArticleDOI
Joint Optimization of Task Scheduling and Image Placement in Fog Computing Supported Software-Defined Embedded System
TL;DR: A computation-efficient solution is proposed based on the formulation and validated by extensive simulation based studies to deal with the high computation complexity of fog computing supported software-defined embedded system.
Journal ArticleDOI
A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs
TL;DR: The algorithm employs a symbolic reformulation step that brings the original MINLP problem to an equivalent standard form for which a convex relaxation can be constructed and is solved using a spatial branch-and-bound algorithm which branches on both integer and continuous variables.
Journal ArticleDOI
Global optimization of mixed‐integer nonlinear problems
TL;DR: Two novel deterministic global optimization algorithms for nonconvex mixed-integer problems (MINLPs) are proposed, using the advances of the αBB algorithm for non Convex NLPs of Adjiman et al.
Journal ArticleDOI
Reverse logistics network design with stochastic lead times
Kris Lieckens,Nico Vandaele +1 more
TL;DR: This work is concerned with the efficient design of a reverse logistics network using an extended version of models currently found in the literature, defined as a mixed integer nonlinear program (MINLP-model) for a single product-single-level network.
References
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Journal ArticleDOI
Encyclopedia of Mathematics and its Applications.
William B. Jones,W. J. Thron +1 more
Journal ArticleDOI
Generalized Benders decomposition
TL;DR: In this paper, the extremal value of the linear program as a function of the parameterizing vector and the set of values of the parametric vector for which the program is feasible were derived using linear programming duality theory.
Book
Interval methods for systems of equations
TL;DR: In this paper, the authors describe the basic properties of interval arithmetic and the solution of square linear systems of equations, and the Hull computation of nonlinear systems of equation 6, 7, 8.
Journal ArticleDOI
An outer-approximation algorithm for a class of mixed-integer nonlinear programs
TL;DR: An outer-approximation algorithm is presented for solving mixed-integer nonlinear programming problems of a particular class and a theoretical comparison with generalized Benders decomposition is presented on the lower bounds predicted by the relaxed master programs.
Book
Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications
TL;DR: In this article, the authors present the foundations of nonlinear operations, including convex analysis, duality theory, mixed-integer linear optimization, and mixed-Integer nonlinear optimization.