Advanced RTY Calculator

Analyze every process step with precision and speed. Reveal hidden yield losses before customers notice. Turn stage data into smarter quality improvement decisions today.

Ready to Calculate RTY

Enter your stage data below. After submission, the full result summary, downloadable exports, and Plotly chart will appear here above the form.

RTY Calculator Inputs

Use the controls below to model a full production or service process. The page stays single-column overall, while the calculator cards adapt to 3, 2, or 1 columns by screen size.

Stage 1
Stage 2
Stage 3
Stage 4
Stage 5
Stage 6
Stage 7
Stage 8

Example Data Table

This example shows a four-stage process. It illustrates how first-pass yield differs from final yield after rework, and why RTY is usually lower than the simple final output rate.

Example RTY: 0.9850 × 0.9819 × 0.9695 × 0.9743 ≈ 91.45%. Even small stage losses compound across the entire process.
Stage Units Entering First-Pass Good Rework Recovered FPY % Final Yield %
Incoming Inspection 1000 985 8 98.50 99.30
Cutting / Preparation 993 975 10 98.19 99.19
Assembly 985 955 18 96.95 98.27
Functional Test 973 948 12 97.43 98.66

Formula Used

RTY focuses on first-pass success. Rework can improve shipped output, but it does not change first-pass process capability.

Stage First-Pass Yield:
FPYi = First-Pass Good Unitsi ÷ Units Enteringi
Rolled Throughput Yield:
RTY = FPY1 × FPY2 × FPY3 × … × FPYn
Final Yield After Rework:
Final Yieldi = (First-Pass Good Unitsi + Rework Recovered Unitsi) ÷ Units Enteringi
Defects Per Unit:
DPUi = (Units Enteringi − First-Pass Good Unitsi) ÷ Units Enteringi
DPMO:
DPMOi = Defectsi ÷ (Units Enteringi × Opportunities Per Uniti) × 1,000,000

How to Use This Calculator

  1. Enter your starting lot size, number of stages, target RTY, and preferred decimal precision.
  2. For each active stage, add the stage name, units entering, first-pass good units, recovered rework units, and defect opportunities per unit.
  3. Click Calculate RTY. The results block appears above the form with overall RTY, losses, weak stages, DPMO, and the Plotly chart.
  4. Use the stage table to compare first-pass yield against final yield. High rework with low FPY signals hidden cost and instability.
  5. Download the result set as CSV or PDF for meetings, shift reviews, kaizen events, or supplier quality reporting.

Frequently Asked Questions

1) What does RTY measure?

RTY measures the probability that a unit passes every stage correctly on the first attempt. It highlights hidden process loss better than simple final output because it penalizes each stage where defects or rework occur.

2) How is RTY different from FPY?

FPY describes one stage only. RTY multiplies all stage FPYs together, so it reflects the full process path. A line can show strong individual stages yet still have a disappointing RTY when losses compound.

3) Why track rework separately?

Rework improves final shipped output, but it consumes time, labor, and capacity. Separating rework from first-pass good units shows whether performance came from a capable process or from expensive recovery activity.

4) Should units entering match across all stages?

Not always. Buffers, inspection holds, batch splitting, and rework loops can change stage input counts. Use the actual units entering each stage for the most realistic RTY, FPY, and DPMO calculations.

5) What is a strong RTY target?

A strong target depends on process complexity, defect opportunities, and industry requirements. Stable, mature lines may target very high RTY, while new or complex lines focus first on improving the weakest stage drivers.

6) Why can final yield be higher than RTY?

Final yield counts recovered units after rework. RTY only counts units that passed every step correctly the first time. That is why final yield can look acceptable while RTY still reveals costly process inefficiency.

7) What does DPMO add to the analysis?

DPMO normalizes defects against total defect opportunities. It is useful when stages differ in complexity, because one stage may have fewer units failing but far more possible defect points per unit.

8) How often should RTY be reviewed?

Review RTY as often as decisions are made. High-volume operations may check every shift or hour, while lower-volume teams may review daily or weekly. Faster feedback shortens the time between defect creation and corrective action.

Related Calculators

defects per opportunitydefects per unitdpu calculatorzero defect sampling calculatordefect rate to sigma calculator

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.