EQUIVALENT RELIABILITY POLYNOMIALS

TitleEQUIVALENT RELIABILITY POLYNOMIALS
Publication TypeJournal Article
Year of Publication2016
AuthorsUdrişte C., Hassan Z., Ţevy I.
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume103
Pagination71-77
ISSN0205-0808
KeywordsAircraft 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.
2000 MSC

60K10, 62N05, 90B25

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