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Lecture 02

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Quality
&
Reliability
Quality & Reliability
Quality & Reliability
Quality is a snapshot at the start of product life and
reliability is a motion picture of the day-by-day
operation.
Time zero defects are manufacturing mistakes that
escaped final test. The additional defects that appear
over time are "reliability defects" or reliability fallout.
The quality level might be described by a single fraction
defective.
To describe reliability fallout a probability model that
describes the fraction fallout over time is needed. This
is known as the life distribution model.
Quality & Reliability
• Reliability (for non-repairable items) can be defined as “the probability
that an item will perform a defined function without failure under stated
conditions for a stated period of time.”
• One must grasp the concept of probabilities in order to understand the
concept of reliability. The numerical values of both reliability and
unreliability are expressed as a probability from 0 to 1 and have no units.
• The Unreliability, F(t), of a component or system is defined as the
probability that the component or system experiences the first failure or
has failed one or more times during the time interval zero to time t, given
that it was operating or repaired to a like new condition at time zero.
• Relation between Reliability & Un-reliability:
• R(t) + F(t) = 1
• or
• Un-Reliability F(t) = 1 – R(t)
Difference between quality and reliability
• Quality is today, while reliability is the future.
•
It is not possible to improve the performance of a system by using low
quality components, whereas it is certainly possible to improve the
performance of a system by using components with low reliability.
• When once the product is accepted by the customer and put into working,
either by itself or as a part of a bigger assembly, length of the useful
service indicates the quality of performance, which is called reliability.
• Reliability depends on numerous factors and majority of them are random.
Reliability cannot be measured by means of any instrument. The reliability
of the components of complex equipment depends on the method of
manufacturing, the environmental conditions in which the equipment
performs and so on. In view of these considerations, the equipment’s
reliability is closely related to many uncertainty factors.
Survival probability
• In reliability, the survival probability is the proportion
of units that survive beyond a specified time. These
estimates of survival probabilities are frequently
referred to as reliability estimates. Use these values
to determine whether your product meets reliability
requirements or to compare the reliability of two or
more designs.
• For example,
A Zipper(Garments accessories) manufacturer is
studying the reliability of a component part in an
accelerated life test. The survival probability at 1 year is
0.197736. This means that at 1 year , approximately
19.77% of these parts will have not yet failed.
Hazard Rate
• The hazard or failure rate is the rate at which the
population survivors at any given instant are "falling over
the cliff“.
• Hazard rate refers to the rate of death for an item
of a given age, and is also known as the failure
rate. It is part of a larger equation called the hazard
function, which analyzes the likelihood that
something will survive to a certain point in time
based on its survival to an earlier time.In other
words, it is the likelihood that if something
survives to one moment, it will also survive to the
next. Hazard rate only applies to those items which
cannot be repaired.
Hazard Rate
• The hazard rate for any time can be determined using the
following equation:
h(t) = f(t) / R(t)
• f(t) is the probability density function, or the probability that
the value (failure or death) will fall in a specified interval (for
example, a specific year).
• R(t) is the survival function, or the probability that something
will survive past a certain time (t).
• The hazard rate cannot be negative, and it is necessary to
have a set "lifetime" on which to model the equation.
THE
END
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