Multiply sequential first-pass stage yields for one matched process. See the modelled end-to-end yield and loss, without treating rework as first-pass success.
Rolled throughput yield
82.9738%Modelled sequential first-pass product. No independence or observed clean-flow count is inferred.
100 × product of entered stage percentages ÷ 100
ONE DEFINED OPERATING COHORT
1..1000 sequential stages only; plain decimal percentages0..100, at most64 characters per stage. Use one compatible route/cohort/period; no averaging of yields or implicit independence claim. Reworked, rerun, retested or repaired units are not first-pass successes.
THE FIELD NOTES
Use the result now, then read the practical notes for assumptions, examples, limitations, and the choices behind it.
0.97 × 0.94 × 0.91 = 0.829738; modelled first-pass loss is 17.0262%.
Convert each first-pass stage percentage to a fraction, multiply the fractions exactly and convert the result back to percent. Round yield and its exact complement independently half-up to four decimals; the two rounded displays may therefore sum to100.0001%. A positive yield strictly below0.0001% is labelled below that minimum; equality displays0.0001%.
At 97%, 94% and 91%, the modelled product is 82.9738%. Its complement is 17.0262%, not a count of scrapped units, a monetary loss or a staffing measure.
Use the same sequential route, cohort and reporting period. Exclude reworked, rerun, retested and repaired units from first-pass success. Stage marginals do not necessarily describe an observed all-stages clean cohort; branched routes and rework loops need a different model.
Measure recorded prevention, appraisal and failure costs separately with the cost of quality calculator; RTY alone cannot price rework. Use actual hours, wages and completed units in the labor cost per unit calculator rather than treating first-pass loss as paid labor lost.
THE PRODUCT IS NEXT
Convert each first-pass stage percentage to a fraction, multiply the fractions exactly and convert the result back to percent. Round yield and its exact complement independently half-up to four decimals; the two rounded displays may therefore sum to100.0001%. A positive yield strictly below0.0001% is labelled below that minimum; equality displays0.0001%.
At 97%, 94% and 91%, the modelled product is 82.9738%. Its complement is 17.0262%, not a count of scrapped units, a monetary loss or a staffing measure.
Use the same sequential route, cohort and reporting period. Exclude reworked, rerun, retested and repaired units from first-pass success. Stage marginals do not necessarily describe an observed all-stages clean cohort; branched routes and rework loops need a different model.
Measure recorded prevention, appraisal and failure costs separately with the cost of quality calculator; RTY alone cannot price rework. Use actual hours, wages and completed units in the labor cost per unit calculator rather than treating first-pass loss as paid labor lost.
No. This model multiplies sequential first-pass fractions. An average answers a different question.
No. Use first-pass percentages excluding units diverted to rework, reruns, retests or repairs. This tool does not audit your underlying counts.
Not from arbitrary stage marginals alone. The displayed product is modelled; compatible conditional clean-flow stage rates are needed to interpret it as an observed cohort fraction.
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