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Kanban: number of cards in circulation

How many kanban cards should be in circulation for this item?

Answer: With a kanban system you order new when a bin is empty, and the card goes back to the supplier or warehouse. The number of cards determines how much is in circulation at most. With too few, the line runs dry whilst restocking. With too many, the warehouse piles up. Toyota's formula takes the daily consumption, restocking time, a safety factor and number of pieces per bin. You enter your own figures from your operation.

Formula

Antal kort N = forbrug pr. dag (D) × genopfyldningstid i dage (L) × (1 + sikkerhedsfaktor α) ÷ stk pr. kasse (C), rundet op

Stk i omløb = N × C

Toyota recommends keeping the safety factor low and instead shortening the replenishment time

Symbols and units in the formula
SymbolMeaningUnit
efterspoergselConsumption per daystk/dag
genopfyldning_dageReplenishment period (from card sent until full box back)dage
sikkerhed_pctSafety factor%
kasse_stkPcs per box (per card)stk
=Kanban cards in circulationkort
=Pcs in circulation in totalstk
=Consumption in replenishment time (without safety)stk
=Pcs over consumption in replenishment timestk

Validity and source

Source
Toyota Production System (Y. Monden): N = D × L × (1 + α) ÷ C

Does not apply when

  • The formula assumes roughly even consumption. If consumption varies a lot from day to day or delivery only comes on certain days of the week the replenishment time should be calculated as the longest realistic waiting time. Take one card at a time when the system is running stably.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Consumption per day200 stk/dag
  • Replenishment period (from card sent until full box back)2 dage
  • Safety factor10 %
  • Pcs per box (per card)50 stk

Giver

  • Kanban cards in circulation9 kort
  • Pcs in circulation in total450 stk
  • Consumption in replenishment time (without safety)400 stk
  • Pcs over consumption in replenishment time50 stk

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Sådan bruger du den

Når et lager eller en linje skal styres med kanban, skal antallet af kort besluttes. Det er antallet af kasser i omløb. Toyotas formel bruges, når systemet startes op, og når forbruget eller leverandøren ændrer sig.

Step by step

  1. Find det gennemsnitlige forbrug pr. dag.
  2. Mål genopfyldningstiden: fra kortet sendes, til den fulde kasse er tilbage.
  3. Vælg en lav sikkerhedsfaktor, fx 10 %.
  4. Del med antal stk pr. kasse, og rund op.
  5. Tag et kort ud ad gangen, når systemet kører stabilt.

Typical errors

  • At regne genopfyldningstiden fra bestillingen, ikke fra kortet sendes.
  • At sætte sikkerheden højt i stedet for at forkorte genopfyldningen.
  • At lade tomme kasser stå, før kortet sendes. Så bliver genopfyldningen længere.
  • At glemme at regne om, når forbruget ændrer sig.

Examples from everyday life

Skruer til monteringslinjen

Monteringslinjen bruger 200 skruer om dagen. Genopfyldningen tager 2 dage, sikkerheden er 10 %, og der er 50 skruer i en kasse.

Consumption per day
200 stk/dag
Replenishment period (from card sent until full box back)
2 days
Safety factor
10 %
Pcs per box (per card)
50 pcs

It means: Der skal være 9 short i omløb, i alt 450 pcs. Det dækker forbruget i genopfyldningstiden på 400 pcs med 50 pcs ekstra.

Engangshandsker i rengøringen

Rengøringsafdelingen bruger 4 æsker handsker om dagen, leverandøren er 5 dage om at levere, og der er 10 æsker i en karton.

Consumption per day
4 stk/dag
Replenishment period (from card sent until full box back)
5 days
Safety factor
10 %
Pcs per box (per card)
10 pcs

It means: Der skal være 3 short i omløb, altså 30 pcs på hylden og undervejs.

To leveringer om dagen

En komponent bruges med 1.500 stk om dagen, leveres to gange dagligt (halv dag), med 5 % sikkerhed og 200 stk pr. kasse.

Consumption per day
1,500 stk/dag
Replenishment period (from card sent until full box back)
0.5 days
Safety factor
5 %
Pcs per box (per card)
200 pcs

It means: Systemet skal have 4 short. Den korte genopfyldningstid holder lageret nede.

Rule of thumb

Kort ≈ forbrug i genopfyldningstiden ÷ kassestørrelse + lidt.

How to check the answer

Stk i omløb skal være mindst forbruget i genopfyldningstiden.