Rolled Throughput Yield

A multi-step quality KPI. If each stage is 95% FPY, RTY is much lower than 95%—the product reveals hidden factory loss.

RTY = product of stage first-pass yields (as decimals).

Tip: Keep “Stage 1 FPY (%)” and “Stage 2 FPY (%)” on the same basis (period, units, and population) before calculating Rolled Throughput Yield.

Cluster: Manufacturing hub · First-pass yield · Logistics hub · Percentage guide

Rolled throughput yield (RTY) multiplies sequential first-pass yields so rework loops do not hide cumulative loss.

Enter three stage first-pass yield percentages (use 100% for unused stages).

First-pass yield stage 1
First-pass yield stage 2
First-pass yield stage 3 (100 if unused)

Rolled Throughput Yield

Understanding Rolled Throughput Yield

How we calculate. RTY = product of stage first-pass yields (as decimals). The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Rolled Throughput Yield case uses stage 1 fpy (%) 95 and stage 2 fpy (%) 98. Enter the same figures below to reproduce the worked path.

What is Rolled Throughput Yield?

A multi-step quality KPI. If each stage is 95% FPY, RTY is much lower than 95%—the product reveals hidden factory loss.

  • Stage yields as percents
  • Use 100% if a stage is N/A
  • Order matches process flow

The Formula

Rolled Throughput Yield
RTY % = (Y1 ÷ 100) × (Y2 ÷ 100) × (Y3 ÷ 100) × 100

Worked Example

Scenario: Stage yields 95%, 98%, and 97%.
Step 1: 0.95 × 0.98 × 0.97 = 0.90307
Step 2: × 100 ≈ 90.31%
Answer: RTY is about 90.31%.

Common Use Cases

  • Value-stream maps: cumulative yield
  • Process design: which step hurts most
  • Supplier chains: multi-op FPY product

Pro Tips

  • Don’t average stage yields
  • Add more stages offline if needed
  • Pair with single-step FPY

Limitations: Rolled Throughput Yield results are educational manufacturing and lean/TPM planning aids—not process-safety, quality-system, or financial advice. Confirm definitions with your MES/SCADA and quality policies.

FAQ

Only three stages?

This form multiplies three yields. For more steps, compute offline or set unused stages to 100%.

Why is RTY lower than each stage?

Because defects compound: each stage multiplies the remaining first-pass fraction.

Authoritative References

For OEE and manufacturing KPI definitions, consult:

  • OEE.com — OEE definitions and examples
  • NIST MEP — manufacturing extension resources
  • ISO 22400 — manufacturing operations management KPIs (context)