Parallel deterministic and stochastic global minimization of functions with very many minima

DOI10.1007/s10589-013-9592-1zbMath1304.90162OpenAlexW2015863994MaRDI QIDQ461454

David R. Easterling, Michael L. Madigan, Layne T. Watson, Brent S. Castle, Michael W. Trosset

Publication date: 10 October 2014

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.cs.vt.edu/archive/00001167/

zbMATH Keywords

DIRECTstochastic optimizationsimulated annealingquadratic optimizationbiomechanicsdeterministic optimizationKNITROQNSTOP

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Stochastic programming (90C15)

Related Items (3)

A batch, derivative-free algorithm for finding multiple local minima ⋮ Asynchronously parallel optimization solver for finding multiple minima ⋮ Non-monotone derivative-free algorithm for solving optimization models with linear constraints: extensions for solving nonlinearly constrained models via exact penalty methods

Uses Software

• KNITRO
• DIRECT
• VTDIRECT95

Cites Work

• Unnamed Item
• Unnamed Item
• Global optimization of statistical functions with simulated annealing
• Optimization by Simulated Annealing
• Design and implementation of a massively parallel version of DIRECT
• Lipschitzian optimization without the Lipschitz constant
• Simulated annealing: Practice versus theory
• Dynamic data structures for a direct search algorithm
• Duality principles in nonconvex systems. Theory, methods and applications
• A fully‐distributed parallel global search algorithm
• Algorithm 897
• Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
• The Wave Annihilation Technique and the Design of Nonreflective Coatings
• Trust Region Methods
• An Interior Point Algorithm for Large-Scale Nonlinear Programming
• Global Random Optimization by Simultaneous Perturbation Stochastic Approximation
• Stochastic Estimation of the Maximum of a Regression Function
• A trust region method based on interior point techniques for nonlinear programming.
• Canonical dual transformation method and generalized triality theory in nonsmooth global optimization

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