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Safety Stock Calculator

Estimate safety stock from a service-level z value, daily demand variability and a fixed lead time.

How to use this calculator

  1. Supply a service-level z value, daily demand standard deviation and lead-time duration.
  2. Check the labels and units before using a result outside this page.
  3. Change one input at a time if you want to compare scenarios.

Formula and method

Safety stock = z × standard deviation of daily demand × √(lead-time days)

  • Safety stock = z × standard deviation of daily demand × √(lead-time days)
  • The model assumes a fixed lead time and a suitable demand distribution; use a different model when demand or lead time varies materially.

Worked examples

Worked example

z = 1.65, daily-demand standard deviation 4, lead time 9 days.

Safety stock ≈ 1.65 × 4 × 3 = 19.8, rounded up to 20 units.

Safety stock ≈ 1.65 × 4 × 3 = 19.8, rounded up to 20 units.

Understanding the result

Estimate safety stock from a service-level z value, daily demand variability and a fixed lead time.

The model assumes a fixed lead time and a suitable demand distribution; use a different model when demand or lead time varies materially.

Important notes

The model assumes a fixed lead time and a suitable demand distribution; use a different model when demand or lead time varies materially.

Displayed outputs are rounded for readability; preserve full precision when continuing a calculation.

Frequently asked questions

What does this safety stock calculator show?

Estimate safety stock from a service-level z value, daily demand variability and a fixed lead time.

Which inputs should I check first?

Supply a service-level z value, daily demand standard deviation and lead-time duration.

Can the result be used as a final professional specification?

The model assumes a fixed lead time and a suitable demand distribution; use a different model when demand or lead time varies materially.

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Related explanations

Learn the method behind the number or compare the terminology before using the calculator.

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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.

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