Lean Manufacturing & Operations calculator
Little's Law WIP Calculator
Little's Law is the foundational equation of flow: the average WIP in a stable process equals throughput multiplied by average lead time. This calculator predicts the WIP level a line will naturally hold given how fast it ships and how long parts take to traverse it. Industrial engineers and lean practitioners use it to set WIP caps, validate CONWIP limits, and sanity-check why inventory is piling up. The power of the law is its generality — it holds for any stable system regardless of process detail, so it's a reliable first-principles check when observed WIP doesn't match expectation.
What this calculator does
- Apply Little's Law to calculate steady-state WIP from throughput rate and average lead time: WIP = Throughput x Lead Time.
- Use this calculator to predict what WIP level will result from a given throughput and lead time, or to verify that your WIP target is consistent with your flow goals.
- It predicts the average work-in-process level from throughput rate, average lead time, and an optional adjustment factor.
Formula used
- WIP = Throughput x Lead Time x Adjustment Factor
Inputs explained
- Throughput rate: Average units completed per time period (day, hour, week). Use consistent time units with lead time.
- Average lead time: Average time a unit spends in the system from entry to completion, in the same time units as throughput.
- Adjustment factor: Leave at 1 for standard Little's Law. Adjust if you want to add a buffer or safety factor.
How to use the result
- Use it to set WIP caps, validate observed inventory against flow, or estimate the WIP implied by a target lead time before changing the line.
- Little's Law holds only for a stable system where arrival and departure rates are balanced over the window; during ramp-up, ramp-down, or a sustained bottleneck it will mispredict because WIP is still changing.
Current U.S. benchmarks
- U.S. manufacturing runs at 75.6% of capacity (Federal Reserve, May 2026). New factory orders are up 2.3% year over year (Census).
Common questions
- How do you calculate WIP with Little's Law? Multiply throughput rate by average lead time, then by any adjustment factor. At 50 units/day throughput and a 4-day lead time with a factor of 1, predicted WIP is 50 x 4 = 200 units.
- What is Little's Law in simple terms? In a stable process, the average amount of work in the system equals how fast work leaves multiplied by how long each item stays. Faster flow or shorter lead time means less WIP for the same output.
- When does Little's Law not apply? It requires a stable system over the measurement window — input and output rates roughly balanced. During start-up, shutdown, or while a bottleneck is filling, WIP is changing and the simple product won't match observed inventory.
- How do I use Little's Law to reduce WIP? Since WIP = throughput x lead time, and throughput is set by demand, the lever is lead time. Cut queue time, batch sizes, or changeovers to shorten lead time and WIP falls proportionally.
- What is the adjustment factor for? It scales the prediction for unit mismatches, partial-system scope, or empirical correction when measured WIP consistently differs from the theoretical product. Leave it at 1 for a straight Little's Law estimate.
Last reviewed 2026-05-12.