You have been asked to help a manufacturing firm that produces a variety of specialty components for local auto speed shops. The firm orders a number of components from suppliers, but the one they have asked you to analyze is special welding rod. Historical data suggests daily consumption of these rods can be modeled by a normal distribution with a mean and standard deviation of 42.3 and 5.1 bolts per day, respectively. The rods come in boxes of 5 rods/box, and the supplier will only ship in box quantities. It takes 2 days to receive an order from the supplier. You may assume that the daily demands are independent and identically distributed, and that inventory position is always known (i.e., continuous review). 1. The current policy is the order thirty boxes from the supplier when inventory position reaches ten boxes. What is the long run fraction of stock outs associated with the current strategy? 2. Assume the cost to place an order is $5 and holding is estimated to be $0.005/rod/day. Design a system that includes the cost optimal order quantity and a service level of 99%. How does this compare with the current policy?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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You have been asked to help a manufacturing firm that produces a variety of specialty components for local auto speed shops. The firm orders a number of components from suppliers, but the one they have asked you to analyze is special welding rod. Historical data suggests daily consumption of these rods can be modeled by a normal distribution with a mean and standard deviation of 42.3 and 5.1 bolts per day, respectively.

The rods come in boxes of 5 rods/box, and the supplier will only ship in box quantities. It takes 2 days to receive an order from the supplier. You may assume that the daily demands are independent and identically distributed, and that inventory position is always known (i.e., continuous review).

1. The current policy is the order thirty boxes from the supplier when inventory position reaches ten boxes. What is the long run fraction of stock outs associated with the current strategy?

2. Assume the cost to place an order is $5 and holding is estimated to be $0.005/rod/day. Design a system that includes the cost optimal order quantity and a service level of 99%. How does this compare with the current policy?

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