First-Pass & Rolled Throughput Yield Calculator
Combine up to five process-step yields to calculate rolled throughput yield, expected good output, hidden-factory load, losses, and defect cost.
First-Pass & Rolled Throughput Yield inputs
Enter your project values, then calculate the full result breakdown.
Enter the project values above to produce the complete breakdown.
| Calculated measure | Result |
|---|---|
| Average active-step yield | — |
| Rolled throughput yield | — |
| Expected first-pass good units | — |
| Expected first-pass losses | — |
| Estimated defect cost | — |
| Hidden-factory multiplier | — |
How to calculate first-pass & rolled throughput yield
Combine up to five process-step yields to calculate rolled throughput yield, expected good output, hidden-factory load, losses, and defect cost. Unlike a basic two-input estimate, this tool combines project quantities, operating assumptions, efficiency or risk factors, and selected scenarios. It returns a dashboard of related results so the user can see the main answer, its cost or capacity consequences, and the assumptions driving the result. Calculation framework: Rolled throughput yield multiplies the first-pass yield of every active step; expected good units and loss cost apply that combined probability to process volume.
How the calculation works
Each active process-step yield is converted to a decimal and adjusted by the selected scenario multiplier. Rolled throughput yield multiplies the active step yields, showing the chance that one unit passes every step without loss. Expected good units, loss units, defect cost, and hidden-factory multiplier all follow from that compounded yield.
Example
Five steps with yields of 98%, 97%, 99%, 96%, and 98.5%, tested under a 0.99 conservative multiplier, average 96.72% individually but produce only 84.63% rolled throughput yield. From 10,000 starting units, about 8,463 pass all five steps and 1,537 are lost. At $18 per lost unit, estimated defect cost is $27,668.77; the hidden-factory multiplier is 1.182.
Frequently asked questions
What does the First-Pass & Rolled Throughput Yield Calculator account for?
Combine up to five process-step yields to calculate rolled throughput yield, expected good output, hidden-factory load, losses, and defect cost. Unlike a basic two-input estimate, this tool combines project quantities, operating assumptions, efficiency or risk factors, and selected scenarios. It ret
First-Pass & Rolled Throughput Yield Calculator
Each active process-step yield is converted to a decimal and adjusted by the selected scenario multiplier. Rolled throughput yield multiplies the active step yields, showing the chance that one unit passes every step without loss. Expected good units, loss units, defect cost, and hidden-factory multiplier all follow from that compounded yield.
Let's understand your first-pass & rolled throughput yield result.
Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.
Pro Tips for First-Pass & Rolled Throughput Yield
- Use first-pass results before rework or repair. If products loop, split, merge, or have different routes, model each route separately rather than averaging unlike processes.
- Do not combine incompatible units or time periods. A percentage field expects the whole percentage shown on the source record, while decimal factors such as power factor are entered as decimals. Counts, purchasable materials, staffing, and capacity should be rounded according to the real decision—not automatically rounded down.
Common First-Pass & Rolled Throughput Yield Mistakes to Avoid
- Compare the calculated result with a recent completed job, measured load, production shift, supplier quote, or audited financial period. Run an expected case and a conservative case using the dropdowns. Investigate any result that exceeds equipment ratings, available hours, physical dimensions, project budgets, or normal historical ranges. For safety, code, structural, electrical, or contractual decisions, obtain review from the appropriately qualified professional.
When to Use This Calculator
Combine up to five process-step yields to calculate rolled throughput yield, expected good output, hidden-factory load, losses, and defect cost. Unlike a basic two-input estimate, this tool combines project quantities, operating assumptions, efficiency or risk factors, and selected scenarios. It returns a dashboard of related results so the user can see the main answer, its cost or capacity consequences, and the assumptions driving the result. Calculation framework: Rolled throughput yield multiplies the first-pass yield of every active step; expected good units and loss cost apply that combined probability to process volume.