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Title: Gradient-Based Algorithms in the Brachistochrone Problem Having a Black-Box Represented Mathematical Model , Journal of Telecommunications and Information Technology, 2014, nr 1

Autor:

Dębski, Roman

Data wydania:

2014, nr 1

Typ zasobu:

artykuł

Opis:

Trajectory optimization problems with black-box represented objective functions are often solved with the use of some meta-heuristic algorithms. The aim of this paper is to show that gradient-based algorithms, when applied correctly, can be effective for such problems as well. One of the key aspects of successful application is choosing, in the search space, a basis appropriate for the problem. In an experiment to demonstrate this, three simple adaptations of gradient-based algorithms were executed in the forty-dimensional search space to solve the brachistochrone problem having a blackbox represented mathematical model. This experiment was repeated for two different bases spanning the search space. The best of the algorithms, despite its very basic implementation, needed only about 100 iterations to find very accurate solutions. 100 iterations means about 2000 objective functional evaluations (simulations). This corresponds to about 20 iterations of a typical evolutionary algorithm, e.g. ES(μ,l ).

Wydawca:

Instytut Łączności - Państwowy Instytut Badawczy, Warszawa

Format:

application/pdf

Identyfikator zasobu:

oai:bc.itl.waw.pl:1656 ; ISSN 1509-4553, on-line: ISSN 1899-8852

DOI:

10.26636/jtit.2014.1.1003

ISSN:

1509-4553

eISSN:

1899-8852

Źródło:

Journal of Telecommunications and Information Technology

Język:

ang

Prawa:

Biblioteka Naukowa Instytutu Łączności

Subject and keywords:

optimal control black-box optimization brachistochrone problem trajectory optimization

Object collections:

Last modified:

2 wrz 2024

In our library since:

23 lip 2014

Number of object content hits:

75

All available object's versions:

https://bc.itl.waw.pl/publication/1931

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Edition name Date
Dębski, Roman, Gradient-Based Algorithms in the Brachistochrone Problem Having a Black-Box Represented Mathematical Model , Journal of Telecommunications and Information Technology, 2014, nr 1 2 wrz 2024

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Instytut Łączności – Państwowy Instytut Badawczy ul. Szachowa 1 04-894 Warszawa

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(+48) 5128 696

E-Mail

biblioteka@il-pib.pl

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