EQUIVALENT RELIABILITY POLYNOMIALS

Authors

  • C. Udrişte
  • Z. A. H. Hassan
  • I. Ţevy

Keywords:

Aircraft designs, algebraic diffeomorphism, reliability polynomials

Abstract

Looking for geometric modeling of reliability polynomials, we discuss three important ideas:
  1. find equivalent reliability polynomials via diffeomorphisms;
  2. cover a reliability hypersurface by probability straight lines;
  3. cover a reliability hypersurface by exponential decay curves.
In this paper we shall prove that two reliability polynomials, attached to some electric systems used inside aircrafts, are equivalent via an algebraic diffeomorphism. Also, we introduce the X-loxodromic curves on an equi-reliable hypersurface, which are constrained paths (evolutions) that are equi-reliable.

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Published

2016-12-12

Issue

Vol. 103 (2016): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

EQUIVALENT RELIABILITY POLYNOMIALS. (2016). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 103, 71-77. https://annual.uni-sofia.bg/index.php/fmi/article/view/55