Days from placing order to receiving inventory
Daily demand variability for safety stock calculation
1.28 = 90%, 1.65 = 95%, 2.33 = 99%
EOQ Parameters (Optional)
Enter inventory parameters and click calculate.
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Introduction
Running out of stock costs more than the lost sale. It costs the customer relationship, the search ranking, the advertising spend that sent that customer to an out-of-stock page, and potentially the review they leave. Amazon suppresses out-of-stock listings in search results -- and that ranking loss can take weeks to recover. According to IHL Group research, out-of-stock situations cost retailers globally an estimated $1 trillion in lost sales annually. The reorder point (ROP) is the inventory level that triggers a new purchase order -- the threshold at which you must reorder to receive new stock before existing stock runs out. Set it too high and you over-invest in inventory. Set it too low and you stockout. This calculator computes the exact reorder point based on your average daily sales, supplier lead time, and safety stock requirements -- so reorder decisions are systematic and data-driven rather than reactive.
What This Calculator Does
This inventory reorder point calculator takes your average daily sales volume, supplier lead time in days, and desired safety stock (based on demand variability and lead time variability) to compute the reorder point in units, safety stock quantity, days of coverage at reorder, and the economic order quantity (EOQ) that minimizes total ordering and holding costs when reordering.
The Formula
The reorder point has two components: lead time demand (the units expected to sell while the replenishment order is in transit) and safety stock (the buffer to absorb demand spikes or supplier delays). Safety stock is calculated using a Z-score based on desired service level: 1.28 for 90%, 1.65 for 95%, 2.05 for 98%, 2.33 for 99%. Standard deviation of demand captures variability -- a product with highly consistent daily sales needs less safety stock than one with volatile demand. EOQ minimizes total cost by balancing order frequency (higher frequency = higher ordering cost, lower holding cost) against order size.
Step-by-Step Example
Calculate lead time demand
A sporting goods retailer sells 28 units/day of a specific running shoe (90-day average). Supplier lead time: 14 days. Lead time demand: 28 × 14 = 392 units.
Calculate safety stock
Standard deviation of daily demand: 8 units (based on 90-day daily sales data). Target service level: 95% (Z-score 1.65). Safety stock = 1.65 × 8 × √14 = 1.65 × 8 × 3.742 = 49.4 units. Round up to 50 units.
Set the reorder point
Reorder point: 392 + 50 = 442 units. When inventory reaches 442 units, place the next purchase order. At 28 units/day average sales, this gives 15.8 days of stock remaining when the order is placed -- 14 days of lead time coverage plus 1.8 days of safety buffer above the 95% service level target.
Calculate EOQ
Annual demand: 28 × 365 = 10,220 units. Ordering cost (PO processing, receiving, admin): $85 per order. Holding cost per unit per year: 25% of unit cost × $42 = $10.50. EOQ: √(2 × 10,220 × $85 / $10.50) = √(1,737,400 / 10.50) = √165,467 = 407 units per order.
Real-World Use Cases
Preventing Amazon FBA Stockouts During Supplier Delays
An Amazon seller sources from a factory in Vietnam with a standard lead time of 32 days. During peak season, lead time extends to 45 days. Standard ROP calculation at 32 days: 85 units/day × 32 days + 180 units safety stock = 2,900 units ROP. Peak season ROP at 45 days: 85 × 45 + 220 safety stock = 4,045 units. The seller sets two reorder points in their inventory system: the standard one and a seasonal trigger that activates in August before the Q4 buildup.
Reducing Overstock from a Too-Conservative Reorder Point
A distributor manually set their reorder point at 6 weeks of inventory for every SKU -- a flat rule with no demand or lead time basis. For a slow-moving SKU with 3 units/day average demand and 10-day lead time, the correct ROP is 3 × 10 + (1.65 × 1 × √10) = 35 units. The current manual ROP was 126 units (6 weeks × 3 × 7). The excess 91 units of safety stock on this SKU alone ties up $3,458 in unnecessary working capital. The calculator-based ROP frees that capital across hundreds of SKUs.
Setting Reorder Points for a New Product Launch
A brand launching a new product has no historical sales data. They estimate 40 units/day based on comparable product performance. Supplier lead time: 21 days. With high demand uncertainty for a new product, they use a service level of 98% (Z-score 2.05) and assume 50% demand variability (standard deviation 20 units/day). Safety stock: 2.05 × 20 × √21 = 187.8 units. ROP: 40 × 21 + 188 = 1,028 units. This is a conservatively high initial ROP -- they plan to recalculate after 30 days of actual sales data.
Comparison
| Service Level Target | Z-Score | Safety Stock Multiplier | Stockout Risk |
|---|---|---|---|
| 90% | 1.28 | 1.28 × σ × √LT | 10% stockout probability |
| 95% | 1.65 | 1.65 × σ × √LT | 5% stockout probability |
| 98% | 2.05 | 2.05 × σ × √LT | 2% stockout probability |
| 99% | 2.33 | 2.33 × σ × √LT | 1% stockout probability |
| 99.9% | 3.09 | 3.09 × σ × √LT | 0.1% stockout probability -- very high safety stock cost |
Common Mistakes to Avoid
Using peak demand instead of average demand in the ROP calculation. If a product has strong seasonality, using peak-month daily sales to set the reorder point for all 12 months creates chronic overstocking in off-peak periods. Use a rolling 90-day average demand that reflects current trends, and maintain separate seasonal ROP settings for peak periods.
Ignoring lead time variability in the safety stock calculation. If a supplier sometimes delivers in 10 days and sometimes in 21 days, the lead time standard deviation is significant and should be incorporated into the safety stock formula alongside demand variability. Using only demand variability when lead times are inconsistent will produce frequent stockouts despite nominally correct safety stock levels.
Setting one reorder point permanently without updating it. Demand patterns change with seasons, promotions, competitor activity, and market trends. A reorder point set once and forgotten will produce stockouts during demand surges and overstock during demand declines. Review ROP calculations quarterly and update them with recent demand data.
Frequently Asked Questions
Accuracy and Disclaimer
Inventory reorder point calculations are based on the demand rate, lead time, and demand variability inputs provided. Actual stockout rates will vary based on the accuracy of these inputs and the statistical distribution of actual demand. Safety stock formulas assume normally distributed demand variability -- products with highly skewed or lumpy demand may require different statistical approaches. Results are for inventory planning purposes only.
Conclusion
The reorder point calculation is only as accurate as the demand data feeding it. Use a rolling 90-day average for daily sales to smooth seasonality rather than peak-period data that would lead to chronic overstocking, or trough-period data that generates stockouts. Revisit and update ROP calculations monthly for fast-moving SKUs and quarterly for slower movers. For the inventory investment that your reorder point system implies, use the Inventory Turnover Calculator to measure whether the resulting inventory levels are efficient. For businesses planning cash flow around inventory purchases, the Working Capital Calculator quantifies the capital tied up in safety stock and cycle stock.
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