Global minimization of nonsmooth constrained global optimization with filled function
type: Item
instance of: scholarly article
title: Global minimization of nonsmooth constrained global optimization with filled function
zbMATH Open document ID: 1407.90265
DOI: 10.1155/2014/563860
author: Youlin Shang
author: Ying Zhang
author: Wei-Xiang Wang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A novel filled function is constructed to locate a global optimizer or an approximate global optimizer of smooth or nonsmooth constrained global minimization problems. The constructed filled function contains only one parameter which can be easily adjusted during the minimization. The theoretical properties of the filled function are discussed and a corresponding solution algorithm is proposed. The solution algorithm comprises two phases: local minimization and filling. The first phase minimizes the original problem and obtains one of its local optimizers, while the second phase minimizes the constructed filled function and identifies a better initial point for the first phase. Some preliminary numerical results are also reported.
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 7016733
Wikidata QID: Q59065992
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/563860
OpenAlex ID: W2163845418
cites work: Handbook of global optimization. Vol. 2
cites work: Handbook of global optimization
cites work: A class of filled functions for finding global minimizers of a function of several variables
cites work: Unification of filled function and tunnelling function in global optimization
cites work: Filled functions for unconstrained global optimization.
cites work: A new filled function method for unconstrained global optimization
cites work: The Tunneling Algorithm for the Global Minimization of Functions
cites work: A new constructing auxiliary function method for global optimization
cites work: Q3397673
cites work: Mesh Adaptive Direct Search Algorithms for Constrained Optimization
cites work: A collection of test problems for constrained global optimization algorithms
description: scientific article; zbMATH DE number 7016733