Cubic spline approximation of the reliability polynomials of two dual hammock networks
Abstract
The property of preserving the convexity and concavity of the Bernstein polynomial and of the B\'{e}zier curves is used to generate a method of approximating the reliability polynomial of a hammock network. The mutual behaviour of the reliability polynomials of two dual hammock networks is used to generate a system of constraints since the initial information is not enough for using a classical approximation scheme. A cubic spline function is constructed to generate approximations of the coefficients of the two reliability polynomials. As consequence, an approximation algorithm is described and tested through simulations on hammocks with known reliability, comparing the results with the results of approximations attempts from literature.
Keywords
Cite
@article{arxiv.1912.03037,
title = {Cubic spline approximation of the reliability polynomials of two dual hammock networks},
author = {Gabriela Cristescu and Vlad-Florin Drăgoi},
journal= {arXiv preprint arXiv:1912.03037},
year = {2019}
}
Comments
14 pages, published in Transylvanian Journal of Mathematics and Mechanics