Mr. Stone has recently installed a vending machine outside a local supermarket to sell a new brand of 12-oz-can soda. Mr. Stone is currently replenishing the vending machine to its full capacity of 1000 cans every Monday morning, i.e., he uses a Base Stock System with review period P=7 days. Based on a recent demand analysis by Mr. Stone, the daily demand follows approximately a normal distribution with mean 140 and a standard derivation of 50. ä (a) What is the current stockout probability between two consecutive replenishment periods? ä (b) Mr. Stone is considering a more frequent replenishment policy to improve the cycle-service level to at most 1% stockout probability. To achieve this, what would be the maximum length (in days) of the replenishment periods?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Mr. Stone has recently installed a vending machine outside a local supermarket to sell a new brand of 12-oz-can soda. Mr. Stone is currently replenishing the vending machine to its full capacity of 1000 cans every Monday morning, i.e., he uses a Base Stock System with review period P=7 days. Based on a recent demand analysis by Mr. Stone, the daily demand follows approximately a normal distribution with mean 140 and a standard derivation of 50.

ä (a) What is the current stockout probability between two consecutive replenishment periods?

ä (b) Mr. Stone is considering a more frequent replenishment policy to improve the cycle-service level to at most 1% stockout probability. To achieve this, what would be the maximum length (in days) of the replenishment periods?

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