chap9_2010 - Chapter 9 Capability and Rolled Throughput...

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Chapter 9 Capability and Rolled Throughput Yield
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What is capability analysis? And what can it tell us?
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Measuring Capability Measure the true quality levels of products and services. Report the relationship between what is acceptable to the customer and what the process can naturally deliver. Process Capability – is defined as the spread within which almost all of the values of a data distribution will fall. (Generally described as 6 σ or 3 σ ) The main objective of 6 σ is to have no more than 3.4 defects per million opportunities (DPMO). The process must be brought into statistical control so that performance becomes predictable and capable of consistently meeting customer expectations.
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What is a normal distribution? www.barringer1.com/jan98f1.gif -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
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So what is Capability? The proportion of output that will be within product specification tolerances. Specification Range Usually set by customer LSL Lower Specification Limit USL Upper Specification Limit Process Range
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How is capability measured? Cp>=1 process capable Cp<1 process not capable Cp= 1.33 minimum value for process to be considered capable*. *Most organizations use 1.33 as the minimum due to the shift that occurs over time  We have a lower sigma for long-term than short-term since long-term process capability is expected to shift over time by 1.5 σ. ST σ 6 or capability Process tolerance ion Specificat C index Capability p = =
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Indices of Capability - Cp LSL Lower Specification Limit USL Upper Specification Limit Cp<1 Cp= 1 Cp= 1.5 Cp= 2.0 Im pr ov em ent
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Capability Example Example 9.1 CALCULATE the Cp Process has a mean = .738 σ= .0725 LSL=.500, USL=.900 Is this process capable? Why?
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