Calculator Inputs
Example Data Table
| Stage | Units In | Good Units | Defects | Opp./Unit |
|---|---|---|---|---|
| Incoming Inspection | 1000 | 980 | 25 | 3 |
| Cutting | 980 | 955 | 30 | 2 |
| Assembly | 955 | 930 | 28 | 4 |
| Final Test | 930 | 910 | 15 | 5 |
This sample shows how process losses stack across multiple checkpoints.
Formula Used
Stage Yield = Good Units Out ÷ Units Entering
Rolled Throughput Yield = Stage Yield 1 × Stage Yield 2 × Stage Yield 3 × ... × Stage Yield n
DPU = Total Defects ÷ Units Entering
DPMO = Defects ÷ (Units × Opportunities per Unit) × 1,000,000
Estimated RTY from DPU = e-ΣDPU
RTY measures the chance that one unit passes every stage without defects or rework. A lower RTY means defects are accumulating across the full workflow.
How to Use This Calculator
- Enter a process name and choose how many stages to review.
- Add the units entering each stage.
- Enter the good units that passed each stage.
- Record total defects found at each stage.
- Add the defect opportunities per unit if you track DPMO.
- Click the calculate button to see RTY, loss, DPU, and DPMO.
- Download the summary as CSV or PDF for reporting.
Rolled Throughput Yield in Quality Control
Why RTY matters
Rolled throughput yield shows how well a process performs from start to finish. It measures the probability that one unit passes every stage without defects. This makes RTY more useful than a single checkpoint yield. One stage may look strong alone. The full process can still hide serious waste.
What the calculator reveals
This calculator helps quality teams track losses across inspection, machining, assembly, testing, and packaging. It multiplies each stage yield to show the cumulative result. Small losses at several points can quickly reduce final output. That is why RTY is powerful for root cause analysis, lean reviews, and process capability discussions.
How it supports improvement
High first pass performance reduces scrap, rework, delays, and customer complaints. RTY makes those improvement opportunities visible. It helps teams compare process lines, identify weak stations, and set realistic quality targets. When paired with DPU and DPMO, the metric gives a broader view of process health. Managers can then focus effort where the true cost of poor quality appears.
Where teams use RTY
Manufacturing teams use rolled throughput yield in electronics, automotive, medical devices, food processing, and industrial assembly. Service teams also apply it in document processing, claims review, and order fulfillment. Any workflow with multiple stages can benefit. The goal is simple. Reduce defects early and preserve good output through the entire sequence.
Why stage level detail matters
Stage detail improves decision making. A plant may have acceptable final output but still suffer hidden rework between operations. RTY exposes that hidden drain. It shows whether defects begin at receiving, increase during conversion, or spike at final verification. That insight supports better control plans, staff training, supplier reviews, and preventive action.
Using results well
Review RTY often. Compare current results with targets and prior periods. Study stage losses, not only the final percentage. Even a modest increase in yield can protect margin and improve delivery performance. Strong RTY supports stable operations, lower waste, and better customer satisfaction.
FAQs
1. What is rolled throughput yield?
Rolled throughput yield is the probability that one unit passes every process step without defects or rework. It multiplies the stage yields to show the full process effect.
2. How is RTY different from first pass yield?
First pass yield usually describes one step. RTY combines all steps. A line may have strong individual yields, yet the total rolled yield can still be much lower.
3. Why does RTY fall quickly in long processes?
Every stage adds a chance of loss. Small defects at many stages multiply together. That compounding effect can reduce final good output faster than teams expect.
4. Should reworked units count as good units?
For strict rolled throughput yield, reworked units should not count as defect-free output. RTY focuses on units that pass through every stage correctly the first time.
5. What is a good RTY value?
A good RTY depends on the process, industry, and risk level. Higher is better. Many teams use RTY trends and targets together instead of relying on one universal benchmark.
6. Why include defect opportunities per unit?
Opportunities per unit support DPMO calculation. That helps teams compare defect intensity across different products, stages, or lines with varying complexity.
7. Can this calculator be used outside manufacturing?
Yes. Any multi-step workflow can use RTY. Examples include document reviews, claims processing, onboarding flows, audits, and order handling.
8. How often should RTY be reviewed?
Review RTY at a frequency that matches process risk and production volume. Many teams track it daily or weekly, then study monthly trends for improvement planning.