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AI Replenishment's safety stock formula and recommendations

Understand the formula and recommendations used by AI Replenishment

Written by David Lorbiecke

When using AI Replenishment, it will attempt to calculate ideal safety stock for the SKU(s) you're analyzing.


Formulas in use

Safety stock is the maximum of three qualifiers, rounded up to the nearest whole unit:

  1. Statistical: Z × forecast_error × daily_demand × √(lead_time + 7), where Z = 1.65 (95th percentile service level)

  2. Poisson: Z × √(lead_time × daily_demand) — used for low-volume / lumpy demand (less than 1 unit/day)

  3. 7-day floor: 7 × daily_demand — practical minimum buffer ensuring at least one week of typical demand as a safety net


Recommendations

If the AI recommends a different safety stock level than the one currently set in Katana, an Update in Katana button appears on the results screen. Clicking it will automatically update the safety stock.


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