Rolled Throughput Yield Calculator
Multiplies step yields to estimate the share passing an entire sequence without loss. The page includes a worked condition, equation trace, operating assumptions, and checking guidance. The example is meant to be traced from the labeled entries to rolled throughput yield, including the units that survive the equation.
Describe the measured characteristic
Rolled throughput yield
Rolled throughput yield: stability across realistic inputs
Treat the worked value as a baseline, then alter one of step one yield, step two yield, step three yield while leaving the other entries fixed. Predict the direction and approximate size of the change before reading the new rolled throughput yield. This separates a real relationship in the formula from a typing error or an unnoticed unit conversion.
Use historical or drawing limits to bracket rolled throughput yield. A sensitivity range grounded in the actual process is more informative than a best-case combination that cannot be produced.
Name the operating state behind each rolled throughput yield. This prevents a catalog maximum, a shop average, and a drawing nominal from being mistaken for one simultaneous condition.
Step One Yield, step three yield, and the reported output
Each step yield should use a consistent first-pass definition and the same cohort boundary.
Stability, distribution shape, measurement error, subgrouping, drift, and sampling design can shift a quality result. That distinction matters before rolled throughput yield is carried into later work.
Rolled throughput yield: testing the direction of change
The equation uses step one yield, step two yield, step three yield to report rolled throughput yield in %. Each step yield should use a consistent first-pass definition and the same cohort boundary.
The sample rolled yield is about 94.86 percent.
Rolled throughput yield: interpreting an increase or decrease
Estimate the order of magnitude before calculating. Then change one input while holding the others fixed and predict whether rolled throughput yield should rise or fall.
Rearrange RTY = Y1 Y2 Y3 / 10000 to recover one entered value. Agreement with the source record checks the algebra in a different direction.
Rolled throughput yield: the role of step one yield
Quality measurements, limits, subgroup definitions, defect rules, and sampling periods should share one study boundary. The immediate output being checked here is rolled throughput yield.
Record when and where step one yield, step two yield, step three yield were measured. Reusing rolled throughput yield after a setup change without that context can be more misleading than a visibly approximate estimate.
Where rolled throughput yield fits in the operating decision
Establish which rolled throughput yield is required before entering step one yield, step two yield, step three yield. The printed equation then provides a check on whether the calculation is being run in the intended direction.
Use the printed % as a dimensional target. Work backward through the equation to identify a missing conversion or a field entered on the wrong basis. That distinction matters before rolled throughput yield is carried into later work.
Recalculate rolled throughput yield after step three yield changes
Store rolled throughput yield with its input values, units, date, product or operation, and the equation version. Do not let extra displayed digits imply measurement accuracy the source data did not have.
Separate computational guard digits from usable precision. For rolled throughput yield, final rounding should reflect the least certain field and the resolution of the next operation.
The same material record can also support manufacturing yield from defects, first pass yield, defects per million opportunities and gauge r and r percentage.
Using the rolled throughput yield answer
When should rolled throughput yield be recalculated?
Recalculate after a change to step one yield, step three yield, the operating boundary, or the governing procedure. Start from the revised inputs rather than scaling the previous answer.
What should be saved beside rolled throughput yield?
Retain the entered values, their units, the date or revision, and the relationship RTY = Y1 Y2 Y3 / 10000. That record is more useful than an isolated rounded answer.
What unit should the rolled throughput yield answer use?
The answer is reported in %. Carry the input units through the equation rather than attaching that label after the arithmetic. The worked condition ties this guidance to step one yield rather than to an unlabeled assumption.
How much precision is useful for rolled throughput yield?
Keep guard digits while checking or reusing the result, then round to the resolution supported by step one yield and the next decision.
How should two rolled throughput yield cases be compared?
Change one uncertain input at a time, label each condition, and compare the resulting rolled throughput yield values before building a combined best- or worst-case scenario.
Is rolled throughput yield a measured value?
Rolled throughput yield is calculated from the labeled entries, including step one yield and step three yield. Actual performance may differ because the equation does not represent every loss, tolerance, or source of variation.