Little's law work-in-progress calculator

Calculate WIP predicted from flow and throughput and flow time implied by observed WIP with your own figures.

Your numbers

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

Use WIP predicted from flow and throughput and flow time implied by observed WIP to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Stable throughput (units/hour)
12
Mean flow time (hours)
2
Observed average WIP for consistency check (units)
25
WIP predicted from flow and throughput (units)
24
Flow time implied by observed WIP (hours)
2.083333
Observed minus predicted WIP (units)
1

Try another scenario

Stable throughput (units/hour)
15
Mean flow time (hours)
2
Observed average WIP for consistency check (units)
25
WIP predicted from flow and throughput (units)
30
Flow time implied by observed WIP (hours)
1.666667
Observed minus predicted WIP (units)
-5
Calculation method

Calculation method

WIP predicted from flow and throughput (units)

L=lambda*W.

Flow time implied by observed WIP (hours)

observedWIP/lambda.

Observed minus predicted WIP (units)

observedWIP-lambda*W.

Symbols and units
a
Stable throughput (units/hour)
b
Mean flow time (hours)
c
Observed average WIP for consistency check (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

  • Little’s law worksheet for stable long-run averages measured over the same system boundary and time basis. All three values explicit for consistency; not a transient queue simulation. Supported limits: throughput>0; flow>=0; observedWIP>=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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