Reliability and Risk Models
Setting Reliability Requirements
Chapter One
Some Basic Reliability Concepts
1.1 RELIABILITY (SURVIVAL) FUNCTION, CUMULATIVE
DISTRIBUTION AND PROBABILITY DENSITY FUNCTION OF
THE TIMES TO FAILURE
According to commonly accepted definitions (IEC, 50 (191), 1991) reliability is
'the ability of an entity to perform a required function under given conditions
for a given time interval' and failure is the termination of the ability to perform
the required function.
In the mathematical sense, reliability is measured by the probability that a
system or a component will work without failure during a specified time
interval (0, t) under given operating conditions and environment (Figure 1.1).
The probability P(T>t) that the time to failure T will be greater than a
specified time t is given by th ... read full excerpt from Reliability and Risk Models: Setting Reliability Requirements ebook