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Little’s law work in progress calculator

Estimate average work in progress from average throughput and average flow time.

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Your result

Average work in progress30units

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How to calculate

Little’s law work in progressUse completed throughput and total time inside the same system. Waiting and processing time both belong in the flow-time measure. Concept diagram; not to scale.Little’s law work in progress1Average throughput (units/h)122Average flow time (h)2.53Average work in progress30 unitsMyCalCute.com
Use completed throughput and total time inside the same system. Waiting and processing time both belong in the flow-time measure. Concept diagram; not to scale.

Estimate average work in progress from average throughput and average flow time.

Average work in progress = rate*time units

Worked example

  • Average throughput (units/h): 12
  • Average flow time (h): 2.5
  • Average work in progress: 30 units

Assumptions and limits

Applies to a stable system with consistent boundaries and long-run averages. This is not a prediction for an individual order or a rapidly changing backlog.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Estimate average work in progress from average throughput and average flow time. Use completed throughput and total time inside the same system. Waiting and processing time both belong in the flow-time measure.

When this tool is useful

Use completed throughput and total time inside the same system. Waiting and processing time both belong in the flow-time measure.

Understanding your inputs

InputExample
Average throughput (units/h) rate12
Average flow time (h) time2.5

Frequently asked questions

What does this model leave out?

Applies to a stable system with consistent boundaries and long-run averages. This is not a prediction for an individual order or a rapidly changing backlog.

How do I reproduce the example?

Enter the displayed example values in their labelled units. Apply the formula before rounding; change one input at a time to compare scenarios.