Rolled Throughput Yield Calculator

Work out rolled throughput yield instantly with clear inputs, formula shown and shareable results.

About Rolled Throughput Yield Calculator

Rolled throughput yield is the probability a unit passes every step first time: step yield raised to the number of steps. The difference between units started and RTY output is the hidden factory — work that is done, undone and redone without appearing in scrap figures.

Formulas

Rolled throughput yield

RTY = (average step yield)^number of steps

Hidden factory

Units touched = starts x (1 - RTY); cost = units touched x rework cost

Worked example

With the default values below, Rolled Throughput Yield Calculator returns Rolled Throughput Yield of 78.3743%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number Of Process Stepsaccepts 1–200: 8
Average First-Pass Step Yieldaccepts 0.01–100 %: 97 %
Units Startedminimum 0.01: 5,000
Rework Cost Per Unitminimum 0: 220

Results

Rolled Throughput Yield: 78.3743%
Units Through With No Rework: 3,918.7
Units Touched At Least Once: 1,081.3
Hidden Factory Cost: $237,882.30

Step by step

1Values used
2Rolled throughput yield
3Hidden factory
4Rolled Throughput Yield= 78.3743
5Units Through With No Rework= 3,918.7
6Units Touched At Least Once= 1,081.3
7Hidden Factory Cost= 237,882.30

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why is RTY lower than final yield?

Final yield counts units that eventually shipped, including those reworked several times. RTY counts only units that never needed intervention, which is the honest measure of process capability.

What RTY is realistic?

For a 20-step process, 90% RTY needs 99.5% average step yield. Long processes therefore demand extremely capable individual steps, which is why RTY exposes problems that final yield hides.