Rolled throughput yield calculator

Calculate rolled first-pass yield and expected first-pass completions with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use rolled first-pass yield and expected first-pass completions to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Stage first-pass yields (fractions)
0.9,0.8,0.95
Initial units (units)
1000
Rolled first-pass yield (%)
68.4
Expected first-pass completions (units)
684
Expected losses by stage (units)
[100,180,36]

Try another scenario

Stage first-pass yields (fractions)
.95,.9,.95
Initial units (units)
1000
Rolled first-pass yield (%)
81.225
Expected first-pass completions (units)
812.25
Expected losses by stage (units)
[50,95,42.75]
Calculation method

Calculation method

Rolled first-pass yield (%)

100*product(stageYields).

Expected first-pass completions (units)

initial*product(yields).

Expected losses by stage (units)

At each stage: incomingExpected*(1-stageYield); propagate incomingExpected*=stageYield.

Symbols and units
a
Stage first-pass yields (fractions)
b
Initial units (units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Multiplication model for sequential conditional stage yields; expected counts may be fractional. Stages must cover one common product route. Supported limits: 1..100 yields in [0,1]; initial integer>0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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