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Process Capability Operations Management Dr. Ron Tibben-Lembke

Process Capability Operations Management Dr. Ron Tibben-Lembke

Process Capability

First question: is our process capable of producing with as low a level of defects as our customers require? The reality is not all parts are the same. Some are bigger, some are smaller. We describe that variation with the concepts of average , and standard deviation, .

Process Capability

Voice of the Process Upper, Lower Natural Limits: UNL / LNL = mean +/- 3  Voice of the Customer USL -- Upper Specification Limit LSL -- Lower Specification Limit completely unrelated to natural variation. Design tolerance: specified size +/- 0.005 inches No connection between tolerance and 

Process Capability

Process Capability -- When the process is under control, is it likely that all produced parts will fall within the design specifications? If the answer is yes, the process is “capable.” If no, even when we are in control, we will be making unacceptable parts. This is a problem.

Process Capability

LTL UTL LTL UTL Capable Not Capable LTL UTL LTL UTL

Process Capability

Specs: 1.5 +/- 0.005 Mean: 1.490 Std. Dev. = 0.002 Are we in trouble?

Process Capability

Summarize process potential to meet acceptable tolerances (USL-LSL) Tells how well parts produced fit into specs Cp = 1.0 means process will generate virtually all of its output within specification limits

Process Capability

Specs: 1.5 +/- 0.005 USL = 1.505 LSL = 1.495 USL – LSL = 0.01 Mean: 1.490 Std. Dev. = 0.002 UNL = 1.496 LNL = 1.482 UNL – LNL = 0.012 Cp = 0.01/0.012 = 0.833 We’re in trouble- too much variability

Capability Index

Capability Index (Cpk) will tell the position of the control limits relative to the two-sided design specifications. Cpk>= 1.0, process is capable Cpk< 1.0, process is not capable

Process Capability

1.484 1.505 1.495 1.496 Process Specs Specs: 1.5 +/- 0.005 Mean: 1.490 Std. Dev. = 0.002 LCL = 1.49 - 3*0.002 = 1.484 UCL = 1.49 + 0.006 = 1.496

Process Capability

Tells how well parts produced fit into specs For our example: Cpk= Min[ -0.833, 2.5] We’re really in trouble.

Process Capability

Tells how well parts produced fit into specs Cpk= Min[ -0.833, 2.5] We’re in big trouble.

Final Thought

© 1995 Corel Corp. IBM Canada Ltd. ordered some parts from a new supplier in Japan. The acceptable quality level allowed for 1.5% defects. The Japanese firm sent the order with a few parts packaged separately, & the following letter ...

Final Thought

© 1995 Corel Corp. Dear IBM: We don’t know why you want 1.5% defective parts, but for your convenience we have packaged them separately. Sincerely,

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Process Capability Operations Management Dr. Ron Tibben-Lembke
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process | capabl | part | spec | limit | specif | mean | cpk
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9/14/2004 11:25:27 PM
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