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吾一日三省乎其身-20080330

双边规格的CPK如何计算
昨天(3/29)与IQC的部分同仁一起探讨了双边规格的CPK如何计算。今天想起来,仍然觉得意味尤尽,特意在此再温习一遍.
Quality assurance and improvement

Compatibility of mechanical parts:
•To save money by minimizing scrap
•To save time by minimizing inspection
To collect data from part dimension variation  during the life cycle of the mould.
•To establish a data bank of process outputs and capability analyses
•Impact on design and mechanical solutions
•Statistical dimensioning/tolerance design (VSA - simulation tool)
• Cumulative know-how - feedback from previous    projects。
What is the difference between Cp&Pp,Cpk&Ppk

Standard deviation is calculated differently :
Process capability:Cp&Cpk--Short term standard deviation.



(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=(|Ca|)*Cp=Min{Cpu,Cpl}.

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  • 发布时间: 2008-04-21 10:51
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