What follows is a discussion I found regarding the Six Sigma Concept. Whaddya Think?
Regards,
Don
Re: Six Sigma and Deming
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* Subject: Re: Six Sigma and Deming
* From: "William J. Latzko"
* Date: Mon, 17 Aug 1998 09:47:52 -0400
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Six Sigma does the right things for the wrong reason. See my paper at
http://deming.eng.clemson.edu/pub/den/six_sig.pdf . The theory on which six sigma is based is flawed. However, since it contributes to continual, never ending improvement it has a psychological value. Why not adopt a policy of continual improvement and be done with it.
The drawback to six sigma is that it cost a lot and may mislead the user into a sense of comfort that is not deserved. I am much reminded of the reliance people used to put on MIL-STD-105 when they thought that the AQL was the buyers protection.
Bill Latzko
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* Subject: Motorola +/- 1.5 sigma Wavering/Shifts
* From: "H Södersved"
* Date: Mon, 28 Sep 1998 10:43:17 +0200
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1. According the Dr. DJ Wheeler the 1.5 sigma shifts come "out of the blue", from nowhere. An assumption that builds Special Causes into the process from the start to very high cost levels. Think of the cost of design when an extra unspecified capability of 3 sigma is forced into the product design.
2. I have tried to find an explanatory origin in the Motorola papers on this shift and have found none.
3. An attempt to understand: Electronic systems, that has been my living for 27 years, have very complex interactions between many types of material processes. When product design times have become extremely short (3 to 6 months) and in practice the most competitive strategic tool (Deming's 1st Quality Prong: Innovation), there is simply not enough time to find all special causes in the upstream processes before it is time to launch the next model. This is how I "might" understand the practical way of dealing with this excessive noise in the product/manufacturing stream.
4. At the same time that Motorola developed the Six Sigma Approach, in 1985 I at Ericsson Radio Systems and some other Surface Mount Specialists here in Scandinavia (Tandberg Data etc) started measuring Attribute Data in PPM (parts per million), or DPM (defects per million) as Motorola says. I did not know Deming nor conventional capability analysis, due to the lack of training, education and interest from Technical University and my earlier managers. We were inspired by the ppm-measurement practice in Japanese Industry. In three years we could improve the manufacturing processes from 45000 ppm to 50 ppm. In California some company reproted the same result in one year. We did not know anything of the +/- 1.5 sigma shift at Motorola. This was very essential for the Ericsson success in Mobile Telephone Systems worldwide.
5. When reaching the 50 ppm level we started emphasizing the Six Sigma approach for capability of test varibles of the process, without knowing better. But electronic designers were very restrictive to our efforts, maybe they undestood the analytic crazyness better. Donald Wheeler was the first person who relly gave me strength to look through the fallacy of Six Sigma. The Six Sigma should be called 4.5 Sigma Approach and nothing else. Still the problem is that it is a Specification Method, not a Deming nor SPC method!
Expira AB, Process & Quality Management
Bjornidegrand 3, S-162 46 VALLINGBY
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* Subject: RE: More on 6 Sigma
* From: "Murphy, Kevin P (GEAE)"
* Date: Tue, 29 Sep 1998 13:54:51 -0400
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Mikel Harry, the President of the Six Sigma Academy, also refers to the following articles to justify the 1.5 sigma shift:
Bender, A. (1975) "Statistical Tolerancing as it Relates to Quality Control and the Designer." Automotive Division Newsletter of ASQC
Evans, David H. (1975) "Statistical Tolerancing: The State of the Art, Part III: Shifts and Drifts." Journal of Quality Technology; 7 (2), pp. 72-76
Gilson, J. (1951) A New Approach to Engineering Tolerances. London, England; Machinery Publishing Company Ltd.
Basically, his idea is this:
From the research mentioned above, he quotes Evans (1975):
"....shifts and drifts in the mean of the distribution of a component occur for a number of reasons...for example, tool wear in one source of a gradual (nonrandom) drift...which can cause (nonrandom) shifts in the distribution. Except in special cases, it is almost impossible to predict quantitatively the changes in the distribution of a component value which will occur, but the knowledge that they will occur enables us to cope with the difficulty. A solution proposed by Bender...allows for (nonrandom) shifts and drifts. Bender suggests that one should use: V = 1.5*SQRT(VAR X) as the standard deviation of the response to relate the component tolerances and the response tolerance."
>From here, Harry suggests that a generalization can be made, namely:
(st)^2 = C(sw)^2 OR C=st/sw
He calls c "the magnitude of inflation imposed on the instantaneous reproducibility.", or "It may be said that c is a compensatory constant used to correct the sustained reproducibility for the effect of nonrandom manufacturing errors which perturbs the process center." He claims that the general range of c proposed by the above three articles is between 1.4 and 1.8.
By "assuming a rational sampling strategy", he shows that:
average quadratic mean deviation = (sw)^2*(c^2 (ng-1)-g(n-1))/ng
where n = subgroup size and g = number of subgroups
Next, he does a couple of algebraic manipulations and then standardizes the equation, yielding
Zshift = SQRT {(c^2(ng-1) - g(n-1))/ng}
He then says that typically in the general range of sampling conventions, n is usually between 4 and 6, and g between 10 and 100. When you use c = 1.8, and you plug in the "typical" values of n = 5 and g=50, voila! Zshift = 1.49 which is just about 1.5, what he calls the standard mean shift correction. (I got 1.55 when I plugged in the numbers)
Basically, since he is trying to formulate a cookbook approach, he wanted a standard value. It would seem that when you decide to change your tooling or how much drift you allow would depend on the loss function for that process, which he does not cover at all, since he promotes a specification-oriented, project-centered, cookbook viewpoint (which does have some advantages, well maybe only two, namely quicker buy-in and easier training since you don't have to think as much).
Obviously, views represented by me (hey, I always called them facts) are not necessarily those of my employer.
> Kevin P. Murphy GEAE Six Sigma Quality (BB)
> General Electric Company
> Aircraft Engines
> 1 Neumann Way M/D J30
> Cincinnati, Ohio 45215