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The reorder point (ROP) is the inventory level at which a new purchase order must be placed to replenish stock before it runs out — accounting for the time it takes for a supplier to deliver (lead time) and the variability in demand during that lead time. Together with Economic Order Quantity (EOQ), the reorder point forms the foundation of a continuous-review inventory management policy (also called a Q,r system), answering the two fundamental questions of inventory management: how much to order (EOQ) and when to order (ROP). The core concept is straightforward: when inventory drops to the reorder point, place an order for EOQ units. If demand is perfectly constant and lead time is perfectly predictable, the order will arrive exactly when the last unit is sold. In reality, both demand and lead time vary — which is why safety stock is added to the basic demand-during-lead-time calculation. Safety stock creates a buffer against unexpected demand spikes or delivery delays, accepting higher inventory carrying costs in exchange for reduced stockout risk. The reorder point has direct financial consequences in both directions. Set it too high and you carry excess inventory — capital is tied up, storage costs increase, and obsolescence risk rises. Set it too low and stockouts occur — lost sales, emergency shipping costs, and customer satisfaction damage. The optimal reorder point balances these competing costs, and the right level depends on how much stockout risk a business is willing to accept (expressed as a service level target, such as 95% or 99%). Modern ERP and WMS systems calculate and monitor reorder points automatically, triggering purchase order generation when inventory falls below the ROP threshold. Companies like Amazon use sophisticated ROP algorithms that update daily based on real-time demand signals, lead time data from suppliers, and service level targets by SKU — running what is essentially continuous-review inventory optimization at massive scale.
Reorder Point Formula:
ROP = (Average Daily Demand × Lead Time in Days) + Safety Stock
Safety Stock Formula (statistical method):
Safety Stock = Z × σ_dLT
where:
Z = service level Z-score (1.28 for 90%, 1.645 for 95%, 2.05 for 98%, 2.326 for 99%)
σ_dLT = standard deviation of demand during lead time
Demand During Lead Time Variability:
σ_dLT = √(LT × σ_d² + d̄² × σ_LT²)
where:
σ_d = standard deviation of daily demand
σ_LT = standard deviation of lead time (days)
d̄ = average daily demand
LT = average lead time (days)
Simplified (constant lead time):
σ_dLT = σ_d × √LT
Safety Stock = Z × σ_d × √LT
Worked Example:
d̄ = 50 units/day, LT = 14 days, σ_d = 10 units/day, target service level = 95% (Z=1.645)
Safety Stock = 1.645 × 10 × √14 = 1.645 × 10 × 3.742 = 61.6 → 62 units
ROP = (50 × 14) + 62 = 700 + 62 = 762 units- 1Calculate average daily demand using recent sales history — typically the last 90–180 days for stable products, or a shorter window for seasonal items; annualized demand ÷ 365 gives daily average.
- 2Determine average supplier lead time in calendar days from when the purchase order is placed to when goods are received and available in stock — include transit time, receiving, and putaway time.
- 3Calculate the demand during lead time (DDLT): average daily demand × average lead time. This is the baseline inventory expected to be consumed while waiting for the replenishment order.
- 4Calculate safety stock based on your target service level and the variability of demand during lead time — use the statistical formula with the Z-score corresponding to your desired service level, or use a simpler fixed-day safety stock for low-value or stable items.
- 5Add demand during lead time and safety stock to get the reorder point — when inventory on hand (plus on-order) falls to this level, place a new purchase order.
- 6Set the reorder point in your inventory management system as a minimum stock alert level; ensure that the system tracks both on-hand and on-order quantities to avoid double-ordering.
- 7Review and update the reorder point periodically (at least quarterly) as demand patterns, lead times, and service level requirements change — static ROP values become dangerously inaccurate as business conditions evolve.
With 95% service level, stockouts occur roughly 1 in 20 lead time cycles. For a SKU ordered 26 times per year, this means ~1.3 stockout events/year on average — acceptable for most non-critical items.
Both demand variability and lead time variability compound to create a large safety stock requirement at 99% service level. The $34,700 in safety stock inventory (at $100/unit) must be justified by the cost of stockouts — often the case for production-critical components.
A 45-day international lead time requires a very high ROP for a seasonal product. Order must be placed when inventory is at 13,762 units — which may be 45 days before peak selling season begins. Pre-season ordering timing is critical.
For low-volume, low-variability B2B parts, a simple 'N days of safety stock' rule (here, 3 days) is adequate and easier to maintain than statistical safety stock. ROP = (5×7) + (5×3) = 35+15 = 50 units.
E-commerce businesses use reorder points in their inventory management systems to automatically generate purchase orders when SKU inventory drops to the trigger level, preventing stockouts on high-velocity items without requiring daily manual review.
Hospital pharmacies set reorder points for all formulary medications to ensure critical drugs are replenished before running out — often with separate 'urgent reorder' triggers at lower inventory levels for life-critical medications.
Manufacturing companies set component-level reorder points in their MRP systems to ensure production lines never stop due to material shortages — the ROP for production components is often set at 2–3× the average lead time demand to provide buffer against supplier delays.
Automotive dealerships use reorder points for service parts inventory — fast-moving consumables like oil filters and brake pads have tight ROPs triggered by high daily usage, while slow-moving specialty parts may have ROPs set at just 1 unit to avoid carrying dead stock.
Multi-echelon inventory systems (distribution networks with central DCs and
Multi-echelon inventory systems (distribution networks with central DCs and regional warehouses) require ROP calculations at each level of the supply chain, accounting for replenishment lead times between echelons rather than just supplier lead times. ROP at a regional warehouse uses the DC-to-regional-warehouse lead time and regional demand; ROP at the DC uses the supplier-to-DC lead time and total network demand.
Consignment inventory and vendor-managed inventory (VMI) arrangements transfer
Consignment inventory and vendor-managed inventory (VMI) arrangements transfer the reorder point responsibility to the supplier — the supplier monitors stock levels at the buyer's location and replenishes automatically at agreed min levels. The buyer still needs to define the min/max parameters, but daily order decisions are outsourced. VMI is common in automotive, grocery, and pharmaceutical supply chains.
Items with intermittent demand (demand that is zero most days with occasional
Items with intermittent demand (demand that is zero most days with occasional large orders) cannot be handled with normal demand-during-lead-time calculations because the standard deviation is inflated by the many zero-demand periods. For intermittent demand, Croston's method or negative binomial demand models provide more accurate safety stock and ROP calculations than the simple normal distribution approach.
| Service Level | Z-Score | Stockout Frequency | Typical Use Case |
|---|---|---|---|
| 90% | 1.282 | 1 in 10 cycles | Low-margin, easily backordered items |
| 95% | 1.645 | 1 in 20 cycles | Standard retail / e-commerce SKUs |
| 97% | 1.881 | 1 in 33 cycles | High-margin or customer-critical items |
| 98% | 2.054 | 1 in 50 cycles | Key retail SKUs, promotional items |
| 99% | 2.326 | 1 in 100 cycles | Production-critical components |
| 99.5% | 2.576 | 1 in 200 cycles | Safety-critical spare parts |
| 99.9% | 3.090 | 1 in 1,000 cycles | Emergency/medical supply items |
What is the difference between reorder point and safety stock?
The reorder point (ROP) is the inventory level that triggers a new order — it includes both the expected demand during lead time AND safety stock. Safety stock is just the buffer portion of the ROP that protects against variability. If demand and lead time were perfectly predictable, the ROP would equal demand during lead time with no safety stock. Safety stock is what you add to guard against unexpected demand spikes or delivery delays during the lead time period.
What service level should I target?
Service level (the probability of not stocking out during a lead time cycle) should reflect the cost of a stockout versus the cost of carrying extra inventory. For high-margin products where stockouts lose sales: 97–99% service level. For low-margin commodity items where backorders are acceptable: 90–95%. For spare parts in manufacturing where downtime is extremely costly: 99%+ or even explicit days-of-supply targets. Most retail businesses target 95–98% as a balance between service and carrying cost.
How do I account for variable lead times?
The full statistical formula for safety stock accounts for both demand variability AND lead time variability: Safety Stock = Z × √(LT × σ_d² + d̄² × σ_LT²). If your supplier's lead time varies significantly (±3–7 days), this variability can be a larger driver of safety stock requirements than demand variability. Track lead time variance from your purchasing data (actual receipt date minus order date) to calculate σ_LT accurately.
What is the difference between reorder point and minimum stock level?
These terms are often used interchangeably but technically differ. Minimum stock level can mean just the safety stock portion — the absolute floor below which inventory should never fall. Reorder point includes both safety stock and expected demand during lead time — it's the trigger level for placing an order. In ERP systems, both are configurable parameters: minimum stock (safety stock) prevents you from going below a floor; reorder point triggers order generation.
How often should I recalculate my reorder point?
Reorder points should be reviewed quarterly for stable products and monthly for high-velocity or seasonal SKUs. Triggers for immediate recalculation include: significant demand changes (±20% from baseline), supplier lead time changes, changes in safety stock policy or service level targets, and new product introduction (insufficient historical data). Static reorder points set once and never updated are one of the most common inventory management failures in growing businesses.
Can I use reorder point for seasonal products?
Yes, but you must segment the calculation by season. A product with very high Q4 demand and near-zero Q1 demand should have different ROP values for each quarter, reflecting the different average daily demand rates per season. Using an annual average demand to calculate ROP for a seasonal product will result in under-ordering before peak season and over-ordering in the off-season. Seasonal ROP calculation should use the demand forecast for the specific upcoming lead time window.
What is a min-max inventory system?
A min-max system is a simplified ROP approach where 'min' is the reorder point (trigger to order) and 'max' is the target stock level after replenishment. When inventory hits the min, you order enough to bring stock back to the max. This system is easy to implement and audit but is less optimal than statistical ROP because it doesn't calculate order quantity dynamically — it just refills to a fixed maximum. Min-max systems are common in MRP environments and for manual inventory tracking.
プロのヒント
Track your ROP accuracy by recording stockout events and correlating them with service level targets. If you're targeting 95% service level but stocking out more than 5% of lead time cycles, your demand variability estimate or safety stock formula is miscalibrated — investigate whether demand has shifted or lead times have increased since the last ROP calculation.
ご存知でしたか？
The reorder point concept predates modern inventory theory by centuries — historical records show that ancient Roman granaries used fixed minimum grain stock levels to trigger resupply from provinces, effectively implementing a reorder point system to prevent urban food shortages. The first mathematical treatment of optimal inventory replenishment appeared in Harris's 1913 EOQ paper, which treated ROP implicitly. The full statistical safety stock framework wasn't developed until the 1950s at RAND Corporation as part of US military logistics research.