# 平均故障間隔

## 概览

MTBF值是产品设计时要考虑的重要参数，可靠度工程师或设计师经常使用各种不同的方法与標準来估计产品的MTBF值。相關標準包括MIL-HDBK-217F、Telcordia SR332、Siemens Norm、或UTE C 80-810（RDF2000）等。不过这些方法估计到的值和實際的平均故障間隔仍有相當的差距。计算平均故障間隔的目的是为了找出设计中的薄弱环节。

## 数学定义

${\displaystyle {\text{MTBF}}={\frac {\sum {({\text{downtime}}-{\text{uptime}})}}{\text{failure times}}}.\!}$

${\displaystyle {\text{MTBF}}=\theta .\!}$

${\displaystyle {\text{MTBF}}=\int _{0}^{\infty }tf(t)\,dt\!}$

${\displaystyle \int _{0}^{\infty }f(t)\,dt=1.\!}$

## 参考

1. ^ Jones, James V., Integrated Logistics Support Handbook, page 4.2
2. ^ Di Martino, Catello; Kalbarczyk, Zbigniew; Iyer, Ravishankar K.; Baccanico, Fabio; Fullop, Joseph; Kramer, William. Lessons Learned from the Analysis of System Failures at Petascale: The Case of Blue Waters. 2014 44th Annual IEEE/IFIP International Conference on Dependable Systems and Networks. 2014-06 [2022-07-19]. doi:10.1109/DSN.2014.62. （原始内容存档于2022-07-19）.
3. ^ Colombo, A.G., and Sáiz de Bustamante, Amalio: Systems reliability assessment – Proceedings of the Ispra Course held at the Escuela Tecnica Superior de Ingenieros Navales, Madrid, Spain, September 19–23, 1988 in collaboration with Universidad Politecnica de Madrid, 1988