Excersise 11-4: Hewlett Packard
Weekly demand for Hewlett Packard printers at a Sam's Club store is normally distributed with a mean
of 250 and a standard deviation of 150. The store manager continuously monitors inventory and
currently orders a thousand printers each time the inventory drops to 600 printers. Hewlett Packard
currently takes two weeks to fill an order. How much safety inventory does the store carry? What cycle
service level does Sam's Club achieve as a result of this policy? What fill rate does the store achieve?
Inputs
Average demand per unit time R =                                                     250
Lead time, L =                                                                        2
SD of demand per unit time sR =                                                      150
Order quantity Q=                                                                    1000
Reorder Point                                                                        600
Distribution of demand during replenishment lead time
Mean demand during lead time RL =                                                    500
SD of demand during lead time sL =                                                   212
Outputs
Safety Inventory ss =                                                                100
Cycle Service Level CSL =                                                            0.68
Expected shortage per replenishment cycle ESC =                                     43.86
Fill Rate fr =                                                                       0.96
CR - 04/19/2020 03:55:58                         Page 1                         470967415.xls - VALUES
Excersise 11-4: Hewlett Packard
Weekly demand for Hewlett Packard printers at a Sam's Club store is normally distributed with a mean
of 250 and a standard deviation of 150. The store manager continuously monitors inventory and
currently orders a thousand printers each time the inventory drops to 600 printers. Hewlett Packard
currently takes two weeks to fill an order. How much safety inventory does the store carry? What cycle
service level does Sam's Club achieve as a result of this policy? What fill rate does the store achieve?
Inputs
Average demand per unit time R =                                                     250
Lead time, L =                                                                        2
SD of demand per unit time sR =                                                      150
Order quantity Q=                                                                    1000
Reorder Point                                                                        600
Distribution of demand during replenishment lead time
Mean demand during lead time RL =                                                    500
SD of demand during lead time sL =                                                   212
Outputs
Safety Inventory ss =                                                                100
Cycle Service Level CSL =                                                            0.68
Expected shortage per replenishment cycle ESC =                                     43.86
Fill Rate fr =                                                                       0.96
CR - 04/19/2020 03:55:58                         Page 2                      470967415.xls - FORMULAS