A review of deterministic optimization methods in engineering and management
type: Item
instance of: scholarly article
title: A review of deterministic optimization methods in engineering and management
zbMATH Open document ID: 1264.90002
DOI: 10.1155/2012/756023
author: Ming-Hua Lin
author: Jung-Fa Tsai
author: Chian-Son Yu
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: With the increasing reliance on modeling optimization problems in practical applications, a number of theoretical and algorithmic contributions of optimization have been proposed. The approaches developed for treating optimization problems can be classified into deterministic and heuristic. This paper aims to introduce recent advances in deterministic methods for solving signomial programming problems and mixed-integer nonlinear programming problems. A number of important applications in engineering and management are also reviewed to reveal the usefulness of the optimization methods.
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C11
zbMATH DE Number: 6173551
describes a project that uses: APOGEE
describes a project that uses: GGPECP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/756023
OpenAlex ID: W2120113688
Wikidata QID: Q58911770
cites work: A minimax portfolio selection rule with linear programming solution
cites work: An analytical model for the container loading problem
cites work: A global optimization algorithm for the three-dimensional packing problem
cites work: Approximately global optimization for assortment problems using piecewise linearization techniques
cites work: Q5557595
cites work: A constrained nonlinear 0-1 program for data allocation
cites work: On optimization approach for multidisk vertical allocation problems
cites work: An application of nonlinear optimization in molecular biology
cites work: Bayesian heuristic approach to discrete and global optimization. Algorithms, visualization, software, and applications. Incl. 2 disks
cites work: Global optimization in engineering design
cites work: Developments in global optimization. Proceedings of the 3rd workshop, Szeged, Hungary, December 10--14, 1995
cites work: Nonconvex optimization in mechanics. Algorithms, heuristics and engineering applications by the F. E. M
cites work: High performance algorithms and software in nonlinear optimization. Conference, HPSNO 97, Ischia, Italy, June 1997
cites work: Q4949341
cites work: Optimization in computational chemistry and molecular biology. Local and global approaches. Conference, Princeton Univ., Princeton, NJ, USA, May 7--9, 1999
cites work: Principles of Optimal Design
cites work: Handbook of global optimization. Vol. 2
cites work: Convex extensions and envelopes of lower semi-continuous functions
cites work: Handbook of generalized convexity and generalized monotonicity
cites work: Global optimization. Scientific and engineering case studies
cites work: Invexity and optimization
cites work: Generalized convexity and vector optimization
cites work: A review of recent advances in global optimization
cites work: Duality Theory for Geometric Programming
cites work: Linearizing Geometric Programs
cites work: A tutorial on geometric programming
cites work: Geometric programming with signomials
cites work: Geometric Programming: Methods, Computations and Applications
cites work: Finding all solutions of nonlinearly constrained systems of equations
cites work: State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28--30, 1995
cites work: Treating free variables in generalized geometric global optimization programs
cites work: Global optimization of signomial mixed-integer nonlinear programming problems with free variables
cites work: On generalized geometric programming problems with non-positive variables
cites work: Global Optimization for Generalized Geometric Programs with Mixed Free-Sign Variables
cites work: Finding multiple optimal solutions of signomial discrete programming problems with free variables
cites work: An efficient global approach for posynomial geometric programming problems
cites work: Global solution of optimization problems with signomial parts
cites work: Q5492521
cites work: Some transformation techniques with applications in global optimization
cites work: Convex underestimation strategies for signomial functions
cites work: Range reduction techniques for improving computational efficiency in global optimization of signomial geometric programming problems
cites work: An improved branch and bound algorithm for mixed integer nonlinear programs
cites work: An outer-approximation algorithm for a class of mixed-integer nonlinear programs
cites work: Solving mixed integer nonlinear programs by outer approximation
cites work: Q4331736
cites work: Generalized Benders decomposition
cites work: Integrating SQP and branch-and-bound for mixed integer nonlinear programming
cites work: A branch-and-cut method for 0-1 mixed convex programming
cites work: Semidefinite relaxations of fractional programs via novel convexification techniques
cites work: Analysis of bounds for multilinear functions
cites work: Product disaggregation in global optimization and relaxations of rational programs
cites work: Global optimization of 0-1 hyperbolic programs
cites work: Convex envelopes of monomials of odd degree
cites work: Q4464676
cites work: Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes
cites work: Q4464689
cites work: Convex envelopes for edge-concave functions
cites work: Trigonometric convex underestimator for the base functions in Fourier space
cites work: Computational experience with a new class of convex underestimators: Box-constrained NLP problems

A review of deterministic optimization methods in engineering and management (cites work)
cites work: A new class of improved convex underestimators for twice continuously differentiable constrained NLPs

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Convex underestimation for posynomial functions of positive variables

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Convex relaxation for solving posynomial programs

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Review of nonlinear mixed-integer and disjunctive programming techniques

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Exploiting special structures in constructing a hierarchy of relaxations for \(0-1\) mixed integer problems

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Global optimization of mixed-integer nonlinear programs: a theoretical and computational study

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Solving planning and design problems in the process industry using mixed integer and global optimization

A review of deterministic optimization methods in engineering and management (cites work)
cites work: A polyhedral branch-and-cut approach to global optimization

A review of deterministic optimization methods in engineering and management (cites work)
cites work: A mixed-integer optimization framework for the synthesis and analysis of regulatory networks

A review of deterministic optimization methods in engineering and management (cites work)
cites work: Canonical Cuts on the Unit Hypercube