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Boise Cascade

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Boise Cascade Corporation, Case 5.3

The mill manager of Boise Cascade Corporation seeks to understand how many scaling stations should be open to minimize the wait times for arriving trucks and the ineffectual time of the scalers. The number of trucks arriving during any given hour needs to be determined and the Poisson Probability Distribution has been applied. Having two open scale stations that cover 57.60% of the data would be the best option. Still, having four open scale stations there is a 99.93% chance that zero trucks would have to wait, but there would be a 3.74% chance that a truck will even need the extra station and you would likely be paying scalers for complete downtime.

Boise Cascade Corporation | | | | | | | | | | | | | | | | Mean | 12 | | | | | | | | # of Trucks | | | | | | | | | 0 | 0.000006 | 0.000006 | | | | | | | 1 | 0.000074 | 0.000080 | | | | | | | 2 | 0.000442 | 0.000522 | | Time Window | Minutes | | | | 3 | 0.001770 | 0.002292 | | 7am-8am | 6 | 0.04582 | 4.58% | | 4 | 0.005309 | 0.007600 | | 8am-9am | 12 | 0.57597 | 57.60% | | 5 | 0.012741 | 0.020341 | | 9am-10am | 18 | 0.96258 | 96.26% | 3.74% | 6 | 0.025481 | 0.045822 | | 10am-11am | 24 | 0.99931 | 99.93% | | 7 | 0.043682 | 0.089504 | | 11am-12pm | 30 | 1.00000 | | | 8 | 0.065523 | 0.155028 | | 12pm-1pm | 36 | 1.00000 | | | 9 | 0.087364 | 0.242392 | | 1pm-2pm | 42 | 1.00000 | | | 10 | 0.104837 | 0.347229 | | 2pm-3pm | 48 | 1.00000 | | | 11 | 0.114368 | 0.461597 | | 3pm-4pm | 54 | 1.00000 | | | 12 | 0.114368 | 0.575965 | | 4pm-5pm | 60 | 1.00000 | | | 13 | 0.105570 | 0.681536 | | | | | | | 14 | 0.090489 | 0.772025 | | 12 | Average # of Trucks/Hour | | | 15 | 0.072391 | 0.844416 | | 2 | Scales | | | | 16 | 0.054293 | 0.898709 | | 10 | Minutes/Truck | | |

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