Rolled Throughput Yield (RTY) Calculator
See the true end-to-end yield of your process — multiply each step's first-pass yield into one rolled throughput yield. Free, instant and fully in your browser.
Enter the first-pass yield (%) of each step. Leave unused steps blank.
Rolled Throughput Yield
94.11%
3 steps counted
RTY = FPY1 × FPY2 × … × FPYn
RTY multiplies first-pass yields, so it is always lower than any single step — small per-step losses compound fast.
What is Rolled Throughput Yield?
Rolled Throughput Yield (RTY) is the probability that a unit passes every process step first time, with no rework. It is the product of each step's first-pass yield. Because losses multiply, a process with several good-looking 97–99% steps can still have a much lower true yield. RTY exposes the hidden factory of rework that step-level metrics hide. For example, a five-step process where every step runs at a healthy-looking 95% first-pass yield has an RTY of 0.95 × 0.95 × 0.95 × 0.95 × 0.95 ≈ 77% — so almost a quarter of units need rework somewhere, even though no single step looks like a problem. That gap between the individual step yields and the true end-to-end figure is the hidden factory: the rework, retests and scrap that never show up in any one step's numbers.
How to calculate RTY
- 1
Find each step's first-pass yield
For each step, divide units that pass first time (no rework) by units that entered.
- 2
Enter the yields
Type each step's first-pass yield as a percentage; leave unused steps blank.
- 3
Read RTY
RTY is the product of all step yields — the true end-to-end first-pass rate.
Frequently asked questions
Why is RTY lower than my step yields?
Because yields multiply. Five steps at 98% give about 90% RTY — each small loss compounds, so the end-to-end figure is always below the weakest step.
What is the difference between FPY and RTY?
First-Pass Yield (FPY) is for a single step; Rolled Throughput Yield (RTY) rolls all the step FPYs together into one process-wide figure.
How does Yamazo Studio help?
Yamazo Studio surfaces where rework and waste (MUDA) happen in the work itself, so you can attack the steps dragging your RTY down with standard work and error-proofing.
What is a good rolled throughput yield?
It depends on how many steps the process has and on the industry, but because yields compound, even strong processes with many steps rarely show a very high RTY. The most useful comparison is against your own baseline over time and against the theoretical RTY you would get if every step hit its target first-pass yield. A large gap between current and target RTY points straight at the steps generating the most rework.
How do I improve rolled throughput yield?
Attack the steps with the lowest first-pass yield first, since they drag the whole product down. Make the work repeatable with standard work, error-proof the most common defects (poka-yoke), and remove the process variation that causes rework. Yamazo Studio helps by showing exactly where in the work the variation and waste occur, so improvement effort lands where the yield is leaking.
Related lean tools & guides
See the hidden factory, then shrink it
RTY reveals compounded rework. Yamazo Studio turns shop-floor video into the waste analysis and standard work that lift first-pass yield — one offline Lean Operating Desk.
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