Problems on multivariate reliability polynomial

Authors

  • Constantin Udriste University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042
  • Ionel Tevy University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042
  • Saad Abbas Abed University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042

DOI:

https://doi.org/10.1478/AAPP.952A7

Keywords:

multivariate reliability polynomial, dual networks via diffeomorphisms, reliability constant level set

Abstract

The original results include: (i) homogenization of a reliability polynomial; (ii) compact hypersurfaces attached to homogeneous polynomials; (iii) an affine diffeomorphism that preserves a reliability polynomial; (iv) duality of networks via a diffeomorphism; (v) straight line segments in constant level sets associated to a reliability polynomial.

Author Biographies

  • Constantin Udriste, University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042
    Prof. Emeritus Dr.
  • Ionel Tevy, University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042
    Prof. Dr.
  • Saad Abbas Abed, University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independentei 313, Bucharest 060042
    drd.

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Published

2017-11-20

Issue

Vol. 95 No. 2 (2017)

Section

Articles

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