Rolled Throughput Yield Calculator

Measure first pass performance across every process step, identify hidden losses, compare targets, estimate output, and improve overall quality with clear results and insights.

Calculation Results

Results update after validation and calculation.

Step-by-step performance

Process Step Method Input Units First-Pass Good Rework Rejected FPY Cumulative RTY Loss Contribution

Target analysis

Charts

Calculation summary


        

Calculation settings

Process steps

Choose a calculation method for each step.

Data tools

Supported headers: step_name, method, input_units, first_pass_good, defects, rework, rejected, yield, dpu, opportunities.

Formula used

First Pass Yield: FPY = first-pass good units ÷ units entering the step.

Rolled Throughput Yield: RTY = FPY₁ × FPY₂ × … × FPYₙ.

Poisson yield: Yield = e−DPU.

Equal required step yield: Target RTY1 ÷ n.

How to use

  1. Add every process step in production order.
  2. Select the input method for each step.
  3. Enter first-pass data, defects, direct yield, or DPU.
  4. Add rework, rejected units, and opportunities when available.
  5. Set production targets and the planned batch quantity.
  6. Select Calculate RTY to review losses and targets.
  7. Copy, print, or download the completed report.

Example data

Step Yield Decimal Cumulative RTY
Material inspection98%0.9898.00%
Assembly95%0.9593.10%
Testing97%0.9790.307%
Packaging99%0.9989.404%

Frequently asked questions

What does rolled throughput yield measure?

It measures the probability of passing every step correctly. Rework is excluded from first-pass success. The result exposes cumulative process losses clearly.

How is RTY different from final yield?

Final yield may include corrected or reworked units. RTY counts only first-pass success. It therefore reveals hidden factory activity.

Can I enter yield directly?

Yes, select the direct yield method. Choose percentage or decimal format first. Values must remain between zero and one hundred percent.

What is the DPU method?

DPU means defects per unit. The calculator applies a Poisson yield estimate. This method suits defect-counting processes.

Why does RTY fall quickly?

RTY multiplies every step yield together. Small losses accumulate across many stages. More steps can reduce overall success substantially.

How are loss contributions calculated?

The calculator uses each step's logarithmic yield loss. Contributions are normalized across all steps. Larger percentages indicate stronger RTY impact.

What does required equal step yield mean?

It is the yield each step needs equally. The calculation uses the target RTY root. It provides a balanced improvement benchmark.

Is the sigma level exact?

The sigma value is an estimate from DPMO. Results depend on defect opportunities and shift assumptions. Use validated quality data for decisions.

Can I save or export my calculation?

Yes, save entries in local browser storage. Export results as CSV or PDF. Printing and copying are also supported.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.