In this problem, your company is a distributor of products. You serve as an inventorymanager for the regional distribution center (DC) here in the Atlanta area. In this role,you schedule the purchase and shipment of products from various suppliers inbound to theAtlanta DC. Once you receive the products at the DC, they are stored in inventory untilthey are picked, packed, and shipped outbound to your company’s downstream customersin response to orders.We again consider ordering and inventory management for products that each have adedicated supplier from which you order. Recently, you have noticed that demand for product 101 has become a bit more volatile andunpredictable. You decide that you want to start holding some safety stock and operate a(q, r) continuous review inventory policy. For this question, let’s assume that backorderingis no longer desirable 4. Assuming that lead time demand is approximately normally-distributed, compute yourreorder level r for this system assuming that you want no more than 5% of cycles toexperience stockouts (1 − pα = 0.05). What is the expected safety stock you keep inthis system?   5. Estimate the annual inventory cost of safety stock for both storage (using s) andcarrying cost (using rv). How does this annual cost compare to your annual pipelineinventory cost? 6. Suppose your supplier tells you that your lead time TL will increase by 50% since theyare having trouble with capacity. Does your pipeline inventory cost grow by 50%? Willyour safety stock grow by 50%?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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In this problem, your company is a distributor of products. You serve as an inventory
manager for the regional distribution center (DC) here in the Atlanta area. In this role,
you schedule the purchase and shipment of products from various suppliers inbound to the
Atlanta DC. Once you receive the products at the DC, they are stored in inventory until
they are picked, packed, and shipped outbound to your company’s downstream customers
in response to orders.
We again consider ordering and inventory management for products that each have a
dedicated supplier from which you order.

Recently, you have noticed that demand for product 101 has become a bit more volatile and
unpredictable. You decide that you want to start holding some safety stock and operate a
(q, r) continuous review inventory policy. For this question, let’s assume that backordering
is no longer desirable

4. Assuming that lead time demand is approximately normally-distributed, compute your
reorder level r for this system assuming that you want no more than 5% of cycles to
experience stockouts (1 − pα = 0.05). What is the expected safety stock you keep in
this system?
 
5. Estimate the annual inventory cost of safety stock for both storage (using s) and
carrying cost (using rv). How does this annual cost compare to your annual pipeline
inventory cost?

6. Suppose your supplier tells you that your lead time TL will increase by 50% since they
are having trouble with capacity. Does your pipeline inventory cost grow by 50%? Will
your safety stock grow by 50%?
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