Help me to calculate the yield and process quality in terms of the dpmu

C

chiuinggum - 2007

#1
Let say I have 4 product A, B, C and D. And these 4 product go thru 3 testing station.

Product Test In Out dpmu
A Station 1 1200 1199 833
Station 2 1199 1197 1668
Station 3 1197 1195 1671

B Station 1 1500 1499 667
Station 2 1499 1497 1334
Station 3 1497 1495 1336

C Station 1 1100 1099 909
Station 2 1099 1097 1820
Station 3 1097 1095 1823

D Station 1 1200 1198 1667
Station 2 1198 1197 835
Station 3 1197 1094 2506


Help me to calculate the yield and process quality in term of the dpmu.

What is the difference between roll yield and yield?
What is the dpmu for product A?
What is the overall (A, B, C and D) dpmu?
 
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Jim Wynne

Staff member
Admin
#3
chiuinggum said:
to clarify...i wanted to calculate the defective per million unit (not defect):D
If "defective" is defined as a unit with one or more "defects", then couldn't you just subtract output from input for each of the test stations? In other words, are you asking for a PPM calculation for the aggregate number of pieces rejected vs. pieces tested, without regard for individual defects?
 
C

chiuinggum - 2007

#4
(dpmu=defective per million unit)
defective per million unit for Prouct A = 833+1668+1671=4172 dpmu?

Is the above correct? If yes how do I calculate the total defective of A, B, C and D?
 

Darius

Quite Involved in Discussions
#5
chiuinggum said:
(dpmu=defective per million unit)
defective per million unit for Prouct A = 833+1668+1671=4172 dpmu?

Is the above correct? If yes how do I calculate the total defective of A, B, C and D?
Nop.
dpmu is an statistical measurement, just like the average, to know the average of something you don't add the averages of the diferent elements:lmao:

IMHO looks like a simple problem of "weighed averages"

Units(U) dpmu Units_Station dpmu_Station dpmu_overall
1200 833
1199 1668
1197 1671 3596 1390

1500 667
1499 1334
1497 1336 4496 1112

1100 909
1099 1820
1097 1823 3296 1516

1200 1667
1198 835
1197 2506 3595 1669 1401

dmpu_Station = (U1*DPMU1+U2*DPMU2+U3*DPMU3)/(U1+U2+U3)

The same for the overall.
 

Statistical Steven

Statistician
Staff member
Super Moderator
#6
I attached a Excel sheet with the last row corrected (you have 1094, and it should be 1194 based on your dpmu). Let me know if this is correct for you.
 

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Last edited:
D

dfirka

#7
Yield calculations

chiuinggum:

I dont know if you are referring to the same Yield concept, but in Six Sigma, the concept of Throughput Yield and Rolled Throuput Yield is used to study the performance of the product among all its process operations.

Throughput Yield (Y):

Calculated for each process step, and associated with the probability that a unit of product will pass though the step without defects .

The formula is Exp(-dpu) where dpu: defects per unit.

The Poisson distribution is used to model the Yield (i.e. the probability of a product with zero defects, assuming a Poisson defect distribution with parameter lambda=dpu).

Rolled Throughput Yield (RTY)

Associated with the probability that a unit of product will go through all the process steps without any defect.

It is calculated by multiplying the Throughput Yield of all the process steps.

Note that all the calculations use defects, not defective units.

These concepts are described in the book of M.Harry (Six Sigma) and F. Breyfogle (Implementing Six Sigma).

hope this helps
df
 
C

chiuinggum - 2007

#8
thanks df,

in our test station, the station could be testing say 10 parameters but when a unit fail at parameter 6, the test will not proceed to test the balance 4. in another word there will be only 1 defective unit with only 1 defect.
 
C

chiuinggum - 2007

#9
Statistical Steven said:
I attached a Excel sheet with the last row corrected (you have 1094, and it should be 1194 based on your dpmu). Let me know if this is correct for you.

yes steve you are right.:applause:
 
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