Rolled Throughput Yield Calculator
Calculate Rolled Throughput Yield across multiple sequential process steps from each step yield percentage.
Calculate Rolled Throughput Yield (RTY)
Enter step yields to see the probability-like proportion of units expected to pass every step without a defect/rework event under the simple independent yield model.
Rolled Throughput Yield formula
For a sequence of process steps, a common RTY calculation multiplies the decimal yield at each step: RTY = Y1 × Y2 × … × Yn. ASQ describes rolled throughput yield as an overall yield measure built from process-step yields. ASQ RTY resource.
Why good-looking step yields compound
Four steps at 98%, 97%, 99% and 96% yield do not produce a 97.5% end-to-end RTY by averaging. Multiplication gives the proportion expected to make it through all four step criteria under the simple model, revealing compound hidden-factory loss.
Keep step definitions compatible
If one step counts final good units after rework while another counts first-pass good units, multiplying the ratios can create a misleading metric. Decide whether the analysis is first-time-through quality, final yield, or another specific flow definition and collect every step consistently.
RTY is a diagnostic summary
The product points to accumulated process loss but does not identify the defect mechanism. Review the lowest-yield steps, defect categories, rework loops and measurement systems. For correlated or branching processes, a simple straight-line product may not represent the real network.
Use RTY to expose the hidden factory
End-of-line yield can look acceptable when defects are repeatedly repaired between operations. RTY makes those step losses compound, which helps quantify how much first-time flow is being lost before final inspection. To improve the metric, focus on the steps with the largest fallout and the rework loops with the greatest cost or delay, not simply the step with the lowest percentage if its volume is small.