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Statistical Process Control (SPC) (Page 3 of 5)
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In relation
to the preceding discussions, this is equivalent to achieving data
distributions that are
centered
between the
specified
limits,
and as narrow as possible. Good centering between limits and negligible
variation translates to parameters that are always within
specifications, which is the true essence of process control.
It is often
said that you can not control something that you do not measure.
Thus, every engineer setting up a new process must have a clear idea of
how the
performance
of this new process is to be
measured.
Since every process needs to satisfy customer requirements, process
output parameters for measurement and monitoring are generally based on
customer
specifications.
Industry-accepted
specifications are also followed in selecting process parameters for
monitoring.
Control
charting
is a widely-used tool for process monitoring
in the semiconductor industry. It employs
control
charts
(see Fig. 3),
which are simply plots of the process output data over time.
Before a control chart may be used, the process engineer must first
ensure that the process to be monitored is
normal
and
stable.
After 30 data
points have been collected on the chart (may be less if measurement
intervals are long), the upper and lower control limits of the process
may already be computed.
Control
limits
define the boundaries of the
normal
behavior of the process. Their values depend only on the output
data generated by the process in the immediate past. Control limits are
therefore independent of specification limits. However, both sets of
limits are used in the practice of SPC, although in different ways.
The lower
control limit
LCL
and the upper control limit
UCL of
a process
may be calculated from the
mean
and
standard deviation
(or
sigma)
of the
plotted data as follows:
LCL = Mean
- (3 x Sigma);
UCL = Mean
+ (3 x Sigma).
Thus, the
span from the LCL of a process to its UCL is
6 sigma.
The
probability
of getting
points outside this +/- 3 sigma range is already very
low
(see
Table
1). Getting a measurement outside this range should therefore warn
an engineer that something abnormal is happening, i.e., the process may
be going
out of control.
This is the reason why these boundaries are known as 'control limits.'
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