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Lead-time distribution and service level expectation — spares kanban

Lead-time histogram of 60 completed replenishment orders with the 50th, 85th and 95th percentile lines, the figure a flow or kanban team uses to quote a service level expectation instead of an average.

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Lead time distribution - CNC spares kanban, 12 weeks4 series (histogram, line). x from 0 to 40 — Lead time. y from 0 to 14 — Orders completed. Series: Completed orders; 50th percentile 6 d; 85th percentile 14 d - SLE; 95th percentile 24 d.Lead time distribution - CNC spares kanban, 12 weeks60 completed replenishment orders, card posted to part on the shelf · 4 series · 66 pointsCompleted orders: 8 between 1 and 2.95Completed orders: 13 between 2.95 and 4.89Completed orders: 11 between 4.89 and 6.84Completed orders: 8 between 6.84 and 8.79Completed orders: 5 between 8.79 and 10.7Completed orders: 4 between 10.7 and 12.7Completed orders: 2 between 12.7 and 14.6Completed orders: 2 between 14.6 and 16.6Completed orders: 1 between 16.6 and 18.5Completed orders: 1 between 18.5 and 20.5Completed orders: 1 between 20.5 and 22.4Completed orders: 1 between 22.4 and 24.4Completed orders: 0 between 24.4 and 26.3Completed orders: 1 between 26.3 and 28.3Completed orders: 0 between 28.3 and 30.2Completed orders: 1 between 30.2 and 32.2Completed orders: 0 between 32.2 and 34.1Completed orders: 0 between 34.1 and 36.1Completed orders: 1 between 36.1 and 3850th percentile 6 d85th percentile 14 d - SLE95th percentile 24 d010203040Lead time (days)02468101214Orders completedCompleted ordersCompleted orders50th percentile 6 d85th percentile 14 d - SLE95th percentile 24 dNearest-rank percentiles: 50th 6 d, 85th 14 d, 95th 24 d, longest 38 dService level expectation quoted to the customer: 85 percent of orders within 14 daysMean 8.47 d and throughput 5 orders per week give average WIP 6.0 by Little's law - the board limit is 6The distribution is right-skewed, so the mean is not a commitment and an average lead time quoted as one will be missed about half the time

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title: Lead time distribution - CNC spares kanban, 12 weeks
subtitle: 60 completed replenishment orders, card posted to part on the shelf
x: Lead time (days)
y: Orders completed
grid: y
legend: bottom
note: Nearest-rank percentiles: 50th 6 d, 85th 14 d, 95th 24 d, longest 38 d
note: Service level expectation quoted to the customer: 85 percent of orders within 14 days
note: Mean 8.47 d and throughput 5 orders per week give average WIP 6.0 by Little's law - the board limit is 6
note: The distribution is right-skewed, so the mean is not a commitment and an average lead time quoted as one will be missed about half the time

histogram "Completed orders" bins: 19
  values: 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 12 12 13 14 15 16 18 19 21 24 27 31 38

line "50th percentile 6 d"
  6 0
  6 13

line "85th percentile 14 d - SLE"
  14 0
  14 13

line "95th percentile 24 d"
  24 0
  24 13