Inventory Reorder Point, Safety Stock and Pack Order Calculator
Use daily sales and fixed lead time to review when to reorder.
Apply minimum order quantities and pack sizes, then check saleable-life limits.
The initial values are an illustrative example. Replace them with one SKU’s records and review the confirmations. Use whole units and a consistent day basis.
Review the inputs, then calculate.
When should you reorder, and how many packs should you buy?
Looking only at shelf stock can miss demand during delivery time, while ignoring outstanding purchase orders can lead to duplicate buying.
This calculator uses one SKU’s daily sales to estimate a reorder point and a safety buffer, then applies minimum order quantity and pack size to a replenishment quantity.
It helps a shop or online seller prepare a supplier discussion with quantities, assumptions and warnings in one report.
The intended setting is repeated sales with a reasonably stable, fixed lead time and continuous monitoring of inventory position.
The initial data are an illustrative example, not recommended stock levels.
The model is country independent and applies no tax rates, statutory shelf lives or industry price assumptions.
It does not forecast a launch, optimize economic order quantity, connect to an ERP or place a purchase order.
Safety stock, reorder point and order quantity
Buffer and trigger
Safety stock provides a buffer for variability above mean demand.
The reorder point combines mean lead-time demand with that buffer.
A longer lead time changes both the expected consumption while waiting and the uncertainty covered by the model.
Target and replenishment
A trigger alone does not determine how much to buy.
Additional stock coverage days define an order-up-to target, and the gap from inventory position is increased when MOQ or pack multiples require it.
This operating policy does not minimize purchase, ordering and holding costs.
Prepare daily sales before calculating
- Use one SKU and one whole-unit measure.
Do not combine variants that cannot substitute for each other, or locations whose stock cannot be transferred.
Separate returned stock from normal sales instead of entering negative daily demand. - Enter 2–366 daily observations, separated by newlines, spaces, tabs or semicolons.
Each observation must be an integer from 0 to 1,000,000.
Do not use commas: write one thousand as 1000, because 1,000 is rejected to avoid confusing a thousands separator with multiple days. - Keep zero-sales days in the record.
If the record excludes closed days, use the same operating-day basis for lead time and additional coverage.
Do not mix calendar-day delivery times with operating-day sales statistics. - Identify stockout days, promotions, price changes, seasonal shifts and day-of-week patterns.
Observed sales cannot reveal all demand lost when stock was unavailable.
If sales are not representative, uncheck the confirmation and review the data before using an order quantity.
The calculator uses sample standard deviation with denominator n − 1.
A short-sample message appears below 30 observations, but 30 is a display reminder rather than a statistical guarantee.
More observations do not automatically make intermittent or changing demand suitable for the model.
Separate physical stock, incoming units and commitments
On hand
Enter saleable physical units before deducting unshipped commitments.
Exclude damaged, quarantined or unusable stock.
Using a quantity that already deducts reservations would subtract the same demand twice.
Confirmed incoming
Include ordered units that have not arrived.
Exclude cancelled and uncertain receipts.
Verify that every included receipt arrives within the lead time used here; otherwise uncheck the arrival confirmation.
Unshipped commitments
Include confirmed backorders and reservations still awaiting dispatch.
Avoid duplicating amounts already deducted from on hand.
Keep the definition of existing commitments consistent with the future demand represented by the sales history.
Inventory position is on hand plus incoming units minus unshipped commitments.
It may be negative when promises exceed secured supply.
A positive position does not prove that an order can ship today: the goods may still be in transit.
The calculator flags low physical availability, but it does not simulate each scheduled arrival.
Formulas and rounding order
μ = mean daily sales; σ = sample standard deviation; L = fixed lead days; C = additional coverage days
Unrounded safety stock SS = z × σ × √L
Reorder point s = ceil(μ × L + SS)
Order-up-to target S = ceil(μ × (L + C) + SS)
Inventory position IP = on hand + incoming − unshipped commitments
When IP ≤ s, required units R = max(0, S − IP)
If R > 0, order Q = ceil(max(R, MOQ) ÷ pack size) × pack size
The safety-stock card rounds up to whole units.
Both the reorder point and target use the unrounded buffer inside their own totals, so rounding is not compounded.
Equality at the reorder point triggers order review.
Above the trigger, the current order is zero even if inventory position remains below the target; MOQ is not applied to a zero order.
Additional coverage C sets the target under this continuous-review policy.
It is not permission to stop reviewing stock for C days.
A business that checks inventory only once a week needs a periodic-review model that covers the time until the next review as well.
The target formula and shelf-life screening are explicit operating choices of this tool, not optimized values prescribed by the source materials.
Cycle service level is different from fill rate
The selected service level represents a target probability of avoiding a stockout during lead time under the model.
It is not the fraction of all requested units shipped immediately.
Selecting 95% does not guarantee that 95% of orders, units or revenue will be fulfilled.
The initial 95% is an example, and the calculator makes no industry-specific recommendation.
Assumptions behind the approximation
The calculation assumes independent daily demand with stable mean and variability, a fixed lead time and a normal approximation.
Intermittent spare-parts demand, repeated weekday peaks and trend-driven sales can violate these assumptions.
An unconfirmed fixed lead time, representative demand or incoming schedule withholds the order quantity while retaining descriptive statistics for review.
Available targets are 90%, 95%, 97.5% and 99%, using one-sided standard-normal z values.
Constant observations produce zero standard deviation and zero safety stock, which do not imply zero future risk.
If every observation is zero, the calculator withholds the order quantity because there is no observed sales rate for replenishment planning.
Worked example: from 77 required units to 7 packs
For transparent arithmetic, use daily sales of 8, 10 and 12 units.
The mean is 10 and the sample standard deviation is 2.
This three-day illustration is not an adequate operating history by itself.
Set lead time to 4 days, additional coverage to 7 days, service level to 95%, on hand to 35, incoming to 10, commitments to 5, MOQ to 80 and pack size to 12.
| Measure | Result |
|---|---|
| Unrounded / displayed safety stock | 6.5794 / 7 units |
| Reorder point / target | 47 / 117 units |
| Inventory position / gap to target | 40 / 77 units |
| After MOQ / after pack rounding | 80 / 84 units |
| Packs to order | 7 packs |
| Added by MOQ / by pack rounding | 3 / 4 units |
| Net stock at arrival / coverage | 84 units / 8.4 days |
| Excess with 7-day saleable life | 14 units |
Expected net stock at arrival is 40 + 84 − 40 = 84 units.
At 10 units per day, that is 8.4 days of coverage.
If only 7 saleable days remain after arrival, the mean-sales screen identifies 14 units beyond that horizon.
Discuss a smaller MOQ or split deliveries instead of assuming the supplier will accept fewer than the required packs.
Interpret pack rounding and saleable-life warnings
Supplier constraints
The calculator first takes the larger of the gap and MOQ, then rounds that amount to the next pack multiple.
MOQ itself may not be divisible by pack size.
Separate additions show which part of the excess came from the minimum and which came from packaging.
Life remaining at receipt
Enter remaining saleable days from the arrival of the new order, not from today.
Account for manufacture dates, inspection time and customer requirements for remaining life.
The calculator does not establish a legal expiry date or food-safety limit.
Expected net arrival stock is max(0, IP + Q − μL).
Coverage divides that stock by μ, and excess is max(0, arrival stock − μ × saleable days).
This simplified screen treats stock as sharing the entered remaining life and assumes incoming units arrive within L.
Older lots may expire sooner, receipts may arrive on different days, and actual demand will vary.
Zero excess does not guarantee no waste, and positive excess is not a prediction of discarded units.
Review expiry by lot and your first-expiry-first-out or first-in-first-out process separately.
Use the result in a purchasing workflow
- For regularly sold consumables, reconcile recent sales with observed supplier lead time and holiday schedules.
Keep operating days and calendar days consistent. - For shared online-channel stock, combine the same SKU’s sales but count reservations once.
Do not include inventory that cannot physically serve those customers. - For seasonal goods or new products, assess whether previous sales describe upcoming demand.
Missing history should lead to review and a supplier discussion, not invented daily observations. - Save the TXT report with the inputs, formulas, output and warnings.
Confirm arrival dates, outstanding orders, MOQ, units per pack and life by lot with the supplier, then recalculate if conditions change.
Frequently asked questions
Can I enter only average sales?
This screen calculates both the mean and sample standard deviation from daily records.
Do not copy an average into every day: that would create an artificial zero-variability history.
Should I order when physical stock equals the reorder point?
The comparison uses inventory position, including incoming stock and unshipped commitments.
At or below the reorder point, the target gap is adjusted for MOQ and pack multiples.
Why is there an arrival warning when I already have a purchase order?
Physical stock after commitments may be less than mean lead-time demand.
Enough units on order does not ensure they arrive before stock runs out; check the schedule and any need for urgent supply.
Are additional coverage days the time until the next stock review?
No.
They determine the target to replenish toward when the trigger is reached.
The model assumes continuous review and does not cover a fixed period without monitoring stock.
Will a higher service level eliminate stockouts?
It may increase the modeled buffer under the assumptions.
It does not solve supply interruptions, sudden promotions or intermittent large orders, and the target is not a performance guarantee.
Is a withheld order quantity an error?
It is an intentional review state when mean demand is zero or a model confirmation is unchecked.
Resolve the data or supply assumptions first; withheld does not mean a zero-unit order.
Can I reduce the order by the shelf-life excess?
Doing so may violate MOQ, pack multiples or the chosen stock policy.
Check whether the supplier can lower the minimum or split delivery before revising the plan.
Are my sales records stored on a server?
The calculation and report are produced in your browser.
The save button downloads a text file containing the current inputs and results; it does not send a purchase order to a supplier.
Sources and update boundary
Sources checked on September 24, 2026.
MIT supplies the fixed-lead-time safety-stock framework, NIST supplies the standard-normal probability reference, and Oracle documents inventory planning and order constraints.
The additional-coverage target and aggregate saleable-life screen are the explicit operating assumptions described above.
Refresh the sales history and supplier conditions when they change; no statutory annual rate update applies.
Start with one SKU and confirmed supply conditions
Prepare comparable daily sales and confirmed incoming quantities.
Keep the assumptions and warnings with the pack count so the next purchasing review can identify what changed.
Before committing an order, verify the actual delivery date, supplier minimum and pack size.
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