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First pass yield vs rolled throughput yield: expose the rework path

Calculate stage yield and cumulative first-time success, keep rework visible, and avoid averaging percentages across incompatible populations.

First pass yield asks how many units clear a defined operation without rework or repeat processing. Rolled throughput yield combines first-pass yields across a defined sequence. Final yield can look excellent after rework while the first-pass path consumes capacity and delays orders.

FIG. 03At the inspection gate
Flow. Inspect. Improve. Work moves through an inspection station. Cycle time, stops and accepted output describe different parts of this flow; measure each separately.

Calculate one stage clearly

If 1,000 unique units enter a test operation and 920 pass on their first attempt, first pass yield is 92%. If 60 of the remaining units pass after rework, final good output can be 980, or 98% of the original entrants. Those are different measures. Counting test attempts rather than unique units can change the denominator and make both misleading.

Record whether held units, diverted units and units still in progress are included. Keep product and route boundaries consistent, particularly when comparing shifts with different complexity or incoming quality.

Multiply stage yields on a consistent path

For a defined three-stage route with conditional first-pass yields of 0.98, 0.95 and 0.97, rolled throughput yield is 0.98 × 0.95 × 0.97 = 0.90307, or 90.307%. This product describes the all-first-pass route when each stage's yield is measured for the relevant population progressing along that path.

It is not the arithmetic mean of 98%, 95% and 97%. It also should not combine unrelated product families, inconsistent periods or denominators that include recirculated attempts. If the data only provide an aggregate stage yield over a different mixture, label the multiplied result as an approximation.

Make rework a visible flow

RecordPurpose
Unique unit or lot identityPrevent counting repeated attempts as new output
Route and operationIdentify the applicable process path
First attempt resultSeparate first-pass success from final acceptance
Rework action and repeat resultLocate capacity and material consumption
Final dispositionReconcile good output, scrap and holds

Connect these records to traceability and genealogy. A quality report should preserve the route and specification revision so a later complaint can be traced to the actual process conditions.

Use the loss to choose work

A low first-pass yield at the constraint can consume both direct rework effort and scarce production time. Compare repeat-test load, defect mechanism and downstream consequences before prioritizing. Review the measurement system before adjusting a process in response to apparent failures.

Use SPC to investigate variation over time and the capability calculator only with an appropriate stable data set and estimator. The OEE calculator has its own quality boundary; align definitions before transferring a first-pass figure into it. These examples are explicit arithmetic, not universal release criteria.

Cite this page: First pass yield vs rolled throughput yield: expose the rework path, Shopfloor, 2026-10-11. https://shopfloor.space/articles/first-pass-yield-vs-rolled-throughput-yield/

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