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Little's Law From Factory to Customer: Lowest Landed Cost at a 95 to 99% Service Level

Every day a product spends between your supplier's factory and your customer's dock is inventory someone has to finance. Little's Law turns those days into units and dollars at every stage of the chain. KOMPASS uses it to compare sourcing and freight options on total landed cost, duty included, while holding a service level between 95 and 99 percent. That way a low freight quote or a low unit price never hides a higher total cost.

Little's Law at every stage

In a supply chain, the flow rate is your demand. When sales run at a steady rate, every stage follows the same rule:

Units in a stage = Daily demand × Days in that stage
Total pipeline = the sum of all stages

Daily demand = average units sold per day
Days in that stage = average time a unit spends there

The law holds for averages when goods enter and leave each stage at about the same rate. It works the same way on a factory floor, a container on the water, a port terminal, and a distribution center shelf.

The example in this article follows an importer that sells a machined component to manufacturers in the Western U.S. It sells 100 units a day and buys from a factory in China, one 40-foot container of 3,000 units every 30 days.

Inventory at each stage from factory to customer Seven stages: factory production 20 days and 2,000 units, origin port 5 days and 500 units, ocean transit 16 days and 1,600 units, port and customs 5 days and 500 units, drayage 2 days and 200 units, distribution center 30 days and 2,977 units, delivery to customer 3 days and 300 units. The importer pays when goods ship and owns 5,577 units. Replenishment lead time is 48 days with a standard deviation of 6 days. Factory production 20 days 2,000 units supplier owns Origin port 5 days 500 units supplier owns Ocean transit 16 days 1,600 units Port and customs 5 days 500 units Drayage 2 days 200 units Distribution center 30 days 2,977 units 1,500 cycle 1,477 safety Delivery to customer 3 days 300 units Longest stage Most variable You pay when goods ship Stock you own: 5,577 units, about $669,000 at purchase price Replenishment lead time: 48 days on average, standard deviation 6 days Little's Law at each stage: units in stage = 100 units a day × days in stage
Swipe sideways to see every stage. Average days and units at each stage for the importer in the example. Units come from Little's Law: 100 units a day times the days in each stage. Figures are illustrative.

Two things stand out. Ocean transit is the longest stage, while port and customs is the most variable, and variation is what drives safety stock. The importer also owns 5,577 units, about 56 days of sales, before counting anything on the supplier's floor.

Which Incoterm gives you the advantage?

The dashed line on the map marks the point where this importer takes over the goods. The Incoterm in your purchase order decides where that line sits. It sets who books each leg, who pays for it, and where the risk of loss or damage moves from your supplier to you. The example uses FOB at the origin port, which puts the line between the port and the ocean.

A question for your team: if you compared your lanes side by side today, would you know which Incoterm gives you the advantage on each one, and why?

Who arranges each stage, and where risk passes to the buyer, under six Incoterms 2020 rules EXW: you arrange loading, export clearance and everything after; risk passes at the supplier's door. FCA: the supplier clears export and hands goods to your carrier; risk passes at that handover. FOB: the supplier delivers on board at the origin port; risk passes on board. CFR and CIF: the supplier books and pays ocean freight, and risk still passes on board at the origin port. DAP: the supplier delivers to your door; you clear import customs and pay duty; risk passes at your door. DDP: the supplier also clears import customs and pays duty; risk passes at your door. You unload at your DC under every rule. Factory and export clearance Origin port and loading Ocean transit Destination port and import customs Drayage Your DC unloading Risk passes to you EXW most control at the supplier's door FCA high control at handover to your carrier FOB high control on board at the origin port CFR / CIF low control on board at the origin port DAP low control at your door DDP least control at your door
Swipe sideways to see every stage. Six common Incoterms 2020 rules, ordered from most buyer control to least. A split cell is a shared stage: under EXW you load and clear export at the supplier's door, and under DAP you clear import customs and pay the duty. Under CIF the supplier also buys minimum cargo insurance.

An Incoterm sets cost and risk. Payment timing and the transfer of title come from your payment terms and the sales contract.

More control means more responsibility

Moving up the chart toward EXW puts the carrier choice and the freight rate in your hands. It also hands you the work that comes with them. Someone has to book space, file the Importer Security Filing at least 24 hours before the container is loaded, file the customs entry, place cargo insurance, and manage claims when something goes wrong. A late or wrong Importer Security Filing can cost up to $5,000 per violation. Each of those steps also moves your lead time and its variation, and those two numbers set your safety stock.

Option B in the worked example below saves about $19,600 a year because the importer picks a more reliable carrier and files the customs entry before arrival. Under CFR or CIF, the supplier picks the ship, and most of that saving stays out of reach.

You keep the control. We carry the workload.

KOMPASS reviews each lane and tells you which Incoterm to use and why, based on your volume and duty exposure on that lane. As a licensed freight broker, we then run the freight on the terms you chose. We select the carrier, coordinate the Importer Security Filing and customs entry, book drayage appointments, and arrange cargo insurance. For a Mexico supplier, a common setup is FCA at the supplier's plant with a USMCA certification of origin on file, so you choose the truck and the part still enters duty-free. To win with more control, you need a partner like KOMPASS.

Holding a 99% service level

Cycle service level is the probability that stock covers demand until the next replenishment arrives. KOMPASS sets it item by item, between 95 and 99 percent. Items that carry most of a client's revenue, where a stockout stops a customer's line or loses an order, get 99 percent. Slower movers sit closer to 95 percent. The example uses 99 percent, which with 12 orders a year means one expected stockout about every eight years.

Safety stock is what buys that protection:

Safety stock = z × √(L × σd² + d² × σL²)

z = service factor, 2.326 for 99 percent
L = average replenishment lead time, 48 days
σd = standard deviation of daily demand, 30 units
d = average daily demand, 100 units
σL = standard deviation of lead time, 6 days


= 2.326 × √(48 × 30² + 100² × 6²)
= 2.326 × √(43,200 + 360,000)
= 2.326 × 635 = about 1,477 units

Lead time variation supplies 360,000 of the 403,200 under the square root, about 89 percent. For this importer, the safety stock problem is mostly a port and customs problem.

What each service level costs

Service levelzSafety stockInventory valueCarrying cost per year
95%1.6451,045 units$125,300$31,300
98%2.0541,304 units$156,500$39,100
99%2.3261,477 units$177,200$44,300
99.5%2.5761,636 units$196,300$49,100
99.9%3.0901,962 units$235,500$58,900

Option A from the example, valued at the $120 purchase price with a 25 percent annual carrying rate.

Each step up costs more than the one before. Going from 99 to 99.9 percent adds 485 units, more than the 432 units it takes to go from 95 to 99 percent. That makes service level a business decision set item by item. For high-revenue items, 99 percent balances the cost of safety stock against the cost of a lost order. For slow movers, 95 percent frees cash with little revenue at risk.

Total landed cost includes the inventory

Total landed cost per unit = Purchase price + Freight + Duty + Carrying cost per unit

Carrying cost per unit = (Units owned × Unit value × Carrying rate) ÷ Units sold per year

A freight quote covers one line of this formula, and a supplier quote covers another. Duty depends on the country of origin and is often the largest line after the price itself. The carrying cost line is where lead time and variation show up, and it moves with every day you add to or remove from the chain.

Worked example: three ways to supply the same customers

KOMPASS priced three options for the importer, all at a 99 percent service level. The part is an industrial component outside the Section 232 metals tariffs.

Prices, freight, and lead times are illustrative. Duty rates reflect U.S. tariffs in force in October 2026 for a part like this one. Your rate depends on the HTS classification and country of origin, so confirm it with your customs broker.

Inventory at a 99% service level

Units ownedA. China, standardB. China, reliableC. Mexico, truck
Replenishment lead time48 days45 days14 days
Lead time standard deviation6 days3 days1.5 days
In transit, after payment2,3002,000400
Cycle stock (half an order)1,5001,500700
Safety stock at 99%1,477840436
Delivery to customer300300300
Total units owned5,5774,6401,836
Inventory value at unit price$669,200$556,800$246,700
Carrying cost per year at 25%$167,300$139,200$61,700

Total landed cost per unit

Cost per unitA. China, standardB. China, reliableC. Mexico, truck
Purchase price$120.00$120.00$134.40
Freight$2.83$3.07$3.21
Duty$48.00 (40%)$48.00 (40%)$0 (USMCA)
Inventory carrying$4.58$3.81$1.69
Total landed cost$175.42$174.88$139.30
Cost per unit above the $120 China price, by option Option A: duty 48.00, freight 2.83, inventory carrying 4.58, total 55.42 dollars above the China price. Option B: duty 48.00, freight 3.07, inventory carrying 3.81, total 54.88. Option C: Mexico price premium 14.40, freight 3.21, inventory carrying 1.69, no duty, total 19.30. $0 $15 $30 $45 $60 Dollars per unit above the $120 China price A. China, standard ocean Duty $48.00 $55.42 B. China, reliable service Duty $48.00 $54.88 C. Mexico, truck Mexico price premium $14.40 $19.30
Cost per unit above the $120 China unit price. Hover over or tap a segment for its value.

Within China, option B beats option A. It pays $0.23 more per unit in freight, about $8,500 a year, and saves $28,100 a year in carrying cost. Total landed cost falls by $0.54 per unit, about $19,600 a year, and $112,400 of cash comes out of inventory at the same 99 percent service level. That gain comes entirely from Little's Law: fewer days in the chain and steadier lead times.

Option C wins overall. At $139.30 per unit, it costs $35.58 less than option B, about $1.3 million a year. Duty drives most of the gap, and the shorter chain adds to it: option C ties up $246,700 in inventory against $669,200 for option A. Mexico would still win with a price premium of up to about 41 percent. If the part fell outside USMCA rules of origin, it would pay 12.5 percent duty (a 2.5 percent base rate plus the 10 percent Section 301 duty) and land at about $156 per unit, still below China.

How KOMPASS optimizes the chain

  1. Map the chain. List every stage from the supplier's floor to your customer's dock, with the average days and the variation in days at each one.
  2. Convert days to inventory. Little's Law gives the units and dollars in each stage and shows where the most cash sits.
  3. Set the service level by item, between 95 and 99 percent: 99 percent for the items that carry most of your revenue, closer to 95 percent for slow movers.
  4. Size safety stock from demand variation and lead time variation, and find the stage that drives it.
  5. Price every option at total landed cost at the same service level. That includes duty for the exact tariff classification and country of origin, and the carrying cost of in-transit, cycle, and safety stock.
  6. Run the winner. As a licensed freight broker, KOMPASS books the freight and tracks transit and port time, so the lead time the plan depends on is the lead time you get.
  7. Review each quarter, or sooner when freight or duty rates change.

KPIs to track

Common mistakes

Want your supply chain priced at total landed cost?

KOMPASS maps your chain from supplier to customer and prices every sourcing and freight option at total landed cost, at the service level you set. Because we also move the freight, the plan and the execution stay with one team. The first call is free.

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Further reading

  • Little, J. D. C. (1961). A Proof for the Queuing Formula: L = λW. Operations Research, 9(3), 383 to 387.
  • Silver, E. A., Pyke, D. F., and Thomas, D. J. (2017). Inventory and Production Management in Supply Chains, 4th ed. CRC Press. Covers safety stock with lead time variation.
  • Hopp, W. J., and Spearman, M. L. (2008). Factory Physics, 3rd ed. Waveland Press.

Tariff and freight sources, as of October 2026