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Safety Stock Calculator

Calculate statistical safety stock from demand variability, lead-time variability and service-factor assumptions using a combined-variance formula.

Calculate statistical safety stock

Estimate buffer stock when both daily demand and replenishment lead time can vary.

Lead-time demand—
Lead-time demand σ—
Safety stock—
Illustrative reorder point—

Safety stock formula with demand and lead-time variability

This calculator uses a common independent-variability model in which lead-time-demand standard deviation is √(average lead time × demand SD² + average demand² × lead-time SD²). Safety stock is that standard deviation multiplied by a selected z service factor. Oracle documents this combined-variability approach in inventory planning examples.

Illustrative reorder point

The displayed reorder point is average lead-time demand + safety stock. It assumes the demand/lead-time units are aligned and does not include order-review periods, minimum order quantities, pipeline-policy adjustments or known scheduled demand.

No single safety-stock formula fits every inventory system

IBM and other planning references note that safety-stock methods vary with the situation. Intermittent demand, non-normal demand, correlated demand/lead time, service-level definitions, perishability and multi-echelon networks can require different models or simulation.

Service factor is not a guaranteed fill rate

The z values correspond approximately to one-sided normal probabilities for a cycle-service interpretation. Fill rate and item-availability targets are different service concepts. Validate the selected service policy and estimate variability from clean, representative data rather than choosing a z value only because it looks conservative.

Frequently asked questions

What does the safety-stock result represent?
It is a statistical buffer estimate based on the entered demand/lead-time variability and z service factor under the formula assumptions.
What is the difference between safety stock and reorder point?
Safety stock is the uncertainty buffer; reorder point adds expected demand during replenishment lead time to that buffer.
Does 95% z mean a 95% fill rate?
Not necessarily. A normal z factor is commonly tied to cycle-service probability; fill rate is a different service measure.
Can I set lead-time standard deviation to zero?
Yes. Then the formula reduces to demand variability over a fixed average lead time.