Bathtub Curve Of Reliability
The bathtub curve is used in reliability engineering and maintenance industries to describe failure rates over time. Weibull distribution is a versatile mathematical function that can represent all three sections of the bathtub curve typically using only two adjustable parameters β and η.
Why The Drain In The Bathtub Curve Matters Reliability Engineering Life Cycles Life
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Bathtub curve of reliability. The origination of the curve is not clear but it appears that it was based on continue reading why the drain in the bathtub curve matters. Reliability specialists often describe the lifetime of a population of products using a graphical representation called the bathtub curve. Reliability bathtub curve review as described in more detail in part one the bathtub curve displayed in figure 1 below does not depict the failure rate of a single item.
The first part is a decreasing failure rate known as early failures. If enough units from a given population are observed operating and failing over time it is relatively easy to compute week by week or month by month estimates of the failure rate h t. An infant mortality period with a decreasing failure rate followed by a normal life period also known as useful life with a low relatively constant failure.
In absence of anything else the practicing reliability and safety engineers in 1960s created a model of system reliability that requires the acceptance of the concept of an alternative universes where all the components and consequently systems possess a constant time independent failure rate leading to the following expression of reliability. Some individual units will fail relatively early infant mortality. The bathtub curve consists of three periods.
The bathtub curve is widely used in reliability engineering it describes a particular form of the hazard function which comprises three parts. The second part is a constant failure rate known as random failures. The bathtub curve named for its shape and shown in fig.
Note that it displays the three failure rate patterns a decreasing failure rate dfr constant failure rate cfr and an increasing. The three sections of the bathtub curve early fail useful life and wear out often have different shapes for failure distributions as illustrated in the figure. Instead the curve describes the relative failure rate of an entire population of products over time.
Most reliability engineers are familiar with the life cycle bathtub curve the shape of the hazard rate or risks of failure of a electronic product over time. 15 11 is perhaps the most famous graphical representation in the field of reliability plotted is the failure rate h t versus time the resulting curve describes not only the behavior of engineering components but also the lifetimes of human populations. This is the well known bathtub curve which over the years has become widely accepted by the reliability community.
The third part is an increasing failure rate known as wear out failures. A plot of the failure rate over time for most products yields a curve that looks like a drawing of a bathtub. A typical electronic s life cycle bathtub curve is shown in figure 1.
It has proven to be particularly appropriate for electronic equipment and systems.
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