Modifications of the Charged Balls Method

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Modifications of the Charged Balls Method. / Abbasov, Majid ; Aliev, Faramoz.

в: Open Computer Science, Том 10, № 1, 01.01.2020, стр. 56-58.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

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Abbasov, Majid ; Aliev, Faramoz. / Modifications of the Charged Balls Method. в: Open Computer Science. 2020 ; Том 10, № 1. стр. 56-58.

BibTeX

@article{21a8cdf9f9de446fb95adf359d315ab3,

title = "Modifications of the Charged Balls Method",

abstract = "The Charged Balls Method is based on physical ideas. It allows one to solve problem of finding the minimum distance from a point to a convex closed set with a smooth boundary, finding the minimum distance between two such sets and other problems of computational geometry. This paper proposes several new quick modifications of the method. These modifications are compared with the original Charged Ball Method as well as other optimization methods on a large number of randomly generated model problems. We consider the problem of orthogonal projection of the origin onto an ellipsoid. The main aim is to illustrate the results of numerical experiments of Charged Balls Method and its modifications in comparison with other classical and special methods for the studied problem.",

keywords = "charged balls method, computational geometry, mathematical programming, optimization",

author = "Majid Abbasov and Faramoz Aliev",

year = "2020",

month = jan,

day = "1",

doi = "10.1515/comp-2020-0008",

language = "English",

volume = "10",

pages = "56--58",

journal = "Open Computer Science",

issn = "2299-1093",

publisher = "De Gruyter",

number = "1",

}

RIS

TY - JOUR

T1 - Modifications of the Charged Balls Method

AU - Abbasov, Majid

AU - Aliev, Faramoz

PY - 2020/1/1

Y1 - 2020/1/1

N2 - The Charged Balls Method is based on physical ideas. It allows one to solve problem of finding the minimum distance from a point to a convex closed set with a smooth boundary, finding the minimum distance between two such sets and other problems of computational geometry. This paper proposes several new quick modifications of the method. These modifications are compared with the original Charged Ball Method as well as other optimization methods on a large number of randomly generated model problems. We consider the problem of orthogonal projection of the origin onto an ellipsoid. The main aim is to illustrate the results of numerical experiments of Charged Balls Method and its modifications in comparison with other classical and special methods for the studied problem.

AB - The Charged Balls Method is based on physical ideas. It allows one to solve problem of finding the minimum distance from a point to a convex closed set with a smooth boundary, finding the minimum distance between two such sets and other problems of computational geometry. This paper proposes several new quick modifications of the method. These modifications are compared with the original Charged Ball Method as well as other optimization methods on a large number of randomly generated model problems. We consider the problem of orthogonal projection of the origin onto an ellipsoid. The main aim is to illustrate the results of numerical experiments of Charged Balls Method and its modifications in comparison with other classical and special methods for the studied problem.

KW - charged balls method

KW - computational geometry

KW - mathematical programming

KW - optimization

UR - http://www.scopus.com/inward/record.url?scp=85081930923&partnerID=8YFLogxK

U2 - 10.1515/comp-2020-0008

DO - 10.1515/comp-2020-0008

M3 - Article

AN - SCOPUS:85081930923

VL - 10

SP - 56

EP - 58

JO - Open Computer Science

JF - Open Computer Science

SN - 2299-1093

IS - 1

ER -

ID: 76991338

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