(common causes).
sST doesn’t account for the long time variation (e.g. tool wear, material changes).
Process performance:Pp&Ppk-->Long term standard deviation.
(common and special causes).
Capability index: Cp -->the process is capable of reproducing the characteristic. Cpk-->The process is actually reporducing the characteristic within desired limits.
Most of companies requirement :Cpk should not be less than 1.33.
If these indexes are small we may have to consider some of the following:
•are the tolerance limits set correctly
• to use for example Design of Experiments to improve the process
• to invest in new technology
The difference between Cpk and Ppk indexes indicates how much we can possibly improve our process by using process control.
What Do These Indexes Tell Us ?
Simple numerical values to describe the quality of the process
Requirement for Cpk is 1.67
This leaves us some space for the variation
• Are we able to improve our process by using SPC
If index is low, following things should be given a thought:
•Is the product design OK?
Are tolerance limits set correctly?
Too tight?
Is the process capable of producing good quality products?
Process variations?
•Is the measuring system capable?
Porcess capability accurancy :Ca=(Average-Mean)/(Torlance/2).
Porcess capability precision :Cp=Torlance/(6*standard deviation).
Standard deviation = SQRT([(X1-M)^2+(X2-M)^2+(X3-M)^2+...+(Xn-M)^2]/(n-1))
Cpk=(1-|Ca|)*Cp=Min{Cpu,Cpl}.