4.
Process Modeling
4.1.
Introduction to Process Modeling
4.1.3.
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What are process models used for?
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Three Main Purposes
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Process models are used for three main purposes:
- prediction,
- calibration, and
- optimization.
The rest of this page lists brief explanations of the different
uses of process models. More detailed explanations of the uses
for process models are given in the subsections of this section
listed at the bottom of this page.
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Prediction
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The goal of prediction is to determine either
- the value of the regression function
(i.e. the average value of the response variable),
- the value of a new observation of the response variable, or
- the values of a specified proportion of all future observations
of the response variable
for a particular combination of the values of the predictor variables.
Predictions can be made for any combination of predictor variable values,
including values for which no data has been measured or observed.
Predictions made within the observed space
of predictor variable values are called are sometimes called
interpolations. Predictions made outside
the observed space of predictor variable values, called extrapolations,
are sometimes necessary, but require caution.
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Calibration
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The goal of calibration is to quantitatively relate measurements made
using one measurement system to those of another measurement system.
This is done so that measurements can be compared in common units or to
tie results from a relative measurement method to absolute units.
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Optimization
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Optimization is done to determine what values of process inputs should be
used to obtain the desired process output. Typical optimzation goals
might be to maximize the yield of a process, to minimize the processing
time required to fabricate a product, or to hit a target product
specification with minimum variation to maintain specified tolerances.
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Further Details
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- Prediction
- Calibration
- Optimization
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