<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we shall introduce two equivalent techniques in order to evaluate reliability analysis of electrical aircrafts systems (EAS): (i) graph theory technique, and (ii) simplifying diffeomorphism technique. Geometric modeling of reliability models is based on algebraic hypersurfaces, whose intrinsic properties are able to select those models which are relevant for applications. The basic idea is to cover the reliability hypersurfaces by exponentially decay curves. Most of the calculations made in this paper have used Maple and Matlab software. </p></abstract>

In this paper we shall introduce two equivalent techniques in order to evaluate reliability analysis of electrical aircrafts systems (EAS): (i) graph theory technique, and (ii) simplifying diffeomorphism technique. Geometric modeling of reliability models is based on algebraic hypersurfaces, whose intrinsic properties are able to select those models which are relevant for applications. The basic idea is to cover the reliability hypersurfaces by exponentially decay curves. Most of the calculations made in this paper have used Maple and Matlab software.

Equivalent reliability polynomials modeling EAS and their geometries

Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq

Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, RO-060042, Bucharest, Romania

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Equivalent reliability polynomials modeling EAS and their geometries"}

In this paper we shall introduce two equivalent techniques in order to evaluate reliability analysis of electrical aircrafts systems (EAS): (i) graph theory...

Equivalent reliability polynomials modeling EAS and their geometries

Published Online: Dec 12, 2015

Page range: 177 - 195

Received: Sep 20, 2015

Accepted: Oct 26, 2015

DOI: https://doi.org/10.1515/awutm-2015-0010

Keywords
reliability, graph theory, diffeomorphic reliability polynomials, decay curves, aircraft designs

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Equivalent reliability polynomials modeling EAS and their geometries

Published Online: Dec 12, 2015

Page range: 177 - 195

Received: Sep 20, 2015

Accepted: Oct 26, 2015

DOI: https://doi.org/10.1515/awutm-2015-0010

Keywordsreliability, graph theory, diffeomorphic reliability polynomials, decay curves, aircraft designs

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
reliability, graph theory, diffeomorphic reliability polynomials, decay curves, aircraft designs