Rolled Throughput Yield Calculator

Calculate RTY — the probability a unit passes every manufacturing step without defect or rework.

# Step Name (optional) Units In Defects Found FPY

Summary

Calculate RTY — the probability a unit passes every manufacturing step without defect or rework.

How it works

  1. Enter units entering and defects found at each process step.
  2. First-Pass Yield (FPY) for each step = (units in − defects) ÷ units in.
  3. RTY = FPY₁ × FPY₂ × ... × FPYₙ — the product of all step yields.
  4. Normalized yield = RTY^(1/n), the geometric mean step yield.
  5. Sigma level is estimated from RTY using the standard DPMO conversion.

Use cases

  • Identify which process steps drag down overall line yield.
  • Compare RTY before and after a process improvement to quantify gains.
  • Set realistic quality targets when designing multi-step assembly lines.
  • Communicate hidden rework cost to management using a single metric.
  • Support DMAIC projects by baselining RTY at the Measure phase.

Frequently Asked Questions

Last updated: 2026-07-22 · Reviewed by Nham Vu