حول هندسة متعددات الحدود المعولية == On the Geometry of the Reliability Polynomials
Author name:
عماد كريم مطر
Supervisor name:
زاهر عبد الهادي حسن
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Babylon - College Of Education For Pure Sciences - Department Of Mathematics
Language:
English
University location:
Babylon
First pages:
27T1025 - p.pdf
Abstract:
This Thesis aims to study the conduct of geometric modeling of multivariate reliabilitypolynomials with comprehensive and up to date review of exact methods of reliability for complex systems as graph theory applications. We are discussing important ideas that include Finding a mathematical method for creating minimal paths and minimal cuts for each complex system. A geometric description to the multivariate reliability of complex interdependence in hypersurface by probability straight lines. Finding equivalent multivariate \reliability"1 polynomials via di eomorphisms. Covering a \reliability" hypersurface by exponential decay curves.We provided several new ideas on : (i) the reduction with assumption technique for a simpli ed multivariate \reliability" polynomial, (ii) convexity of multivariate \reliability" polynomial, (iii) geodesic of equivalent \relialility" polynomial, (v) \Mean Time To Failure" (\MTTF")2 (vi) failure rate of multivariate \reliability" polynomial
