论文标题
连续N：F系统具有无限根
Consecutive k-out-of-n:F Systems Have Unbounded Roots
论文作者
论文摘要
本文正在研究线性连续 - \ textit {k} -out-out-of-of-of-of-of-of-of-of-of-of-textit {n}的根源。我们能够证明，对于任何固定的$ k \ ge2 $，这些根是在复杂平面中没有的。在特定情况下，$ k = 2 $，我们表明可靠性多项式仅具有真正的根源，并通过建立其显式公式突出了这些根的关闭。我们还指出，在这种情况下，对于任何固定的\ textit {n}，可靠性多项式的非零根是不同的数字。
This article is studying the roots of the reliability polynomials of linear consecutive-\textit{k}-out-of-\textit{n}:\textit{F} systems. We are able to prove that these roots are unbounded in the complex plane, for any fixed $k\ge2$. In the particular case $k=2$, we show that the reliability polynomials have only real roots and highlight the closure of these roots by establishing their explicit formulas. We also point out that in this case, for any fixed \textit{n} the nonzero roots of the reliability polynomial are distinct numbers.
