Rolled Throughput Yield

Rolled Throughput Yield (RTY) is a process performance measure that provides insight into the cumulative effects of an entire process. RTY measures the yield for each of several process steps and provides the probability that a unit will come through that process defect free.

RTY allows us to expose the “hidden factory” by providing visibility into the yield of each process step. This helps us identify the poorest performing process steps and gives us clues into where to look to find the most impactful process improvement opportunities.

Calculating RTY:

RTY is found by multiplying the Yields of each process step. Let’s take the 5 step process below and calculate its Rolled Throughput Yield using the multiplication method mentioned above.

Rolled Throughput Yeild



  • The calculation is: RTY = 0.90*0.91*0.99*0.98*0.97 = 0.77
  • Therefore, RTY = 77%.

You may have noticed that In order to calculate RTY we must determine the Yield for each process step (which we have not covered yet). Before we get into calculating Yield, there are a few abbreviations that need to be declared.


  • Defects = D
  • Unit = U
  • Defects per Unit = DPU
  • Yield = Y
  • e = 2.71828 (mathematical constant)

Calculating Yield

Rolled Throughput Yield Calc




The Yield of a process step is the success rate of that step or the probability that the process step produces no defects. In order to calculate Yield we need to know DPU and then we can apply it to the Yield equation above.

Rolled Throughput Yield Table




For example, suppose a process step has a DPU of 0.109 or 10.9% which is derived by dividing the number defects (65) by units (598). Then, we can apply the Yield equation: Y = 2.718 ^ -0.109 = 0.8967 rounded, Y = 90%

The table above uses the above process yield data that we used in the earlier RTY calculation. This table allows us to see the DPU and Yield of each step as well as the RTY for the whole process.

RTY: Using an Estimate of Yield

It is also possible to “estimate” Yield by taking the inverse of DPU or simply subtracting DPU from 1. Referring to the table above, let’s run a quick yield estimation.

Yield Estimation = 1-DPU

  • Yield Estimate for Process step 1 = 1 – 0.10870 = 0.89
  • Yield Estimate for process step 2 = 1 – 0.09006 = 0.91
  • Yield Estimate for process step 3 = 1 – 0.01031 = 0.99
  • Yield Estimate for process step 4 = 1 – 0.02083 = 0.98
  • Yield Estimate for process step 5 = 1 – 0.02972 = 0.97

RTY using the Yield Estimation Method = 0.89*0.91*0.99*0.98*0.97 = 0.76 or 76% PRETTY DARN CLOSE! And you don’t even need the yield equation.

About Michael Parker

Michael Parker is the President and CEO of the Lean Sigma Corporation, a management consulting firm and online six sigma training, certification and courseware provider. He has 15 years of experience leading and executing lean six sigma programs and projects. As a Fortune 50 senior executive Michael has had oversight of project portfolios as large as 150 concurrent projects exceeding $100 million in annual capital expenditures. Michael has also managed multi-site operations with accountability of over 250 quality assurance managers, analysts and consultants. He is an economist by education earning his Bachelor of Science degree from Radford University while also lettering 4 years as an NCAA division I scholarship athlete. Michael earned his Six Sigma Master Black Belt certification from Bank of America and his Black Belt certification from R.R. Donnelley & Sons.

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