Exam 12: Managing Uncertainty in a Supply Chain: Safety Inventory
Explain the impact of aggregation on safety inventory.
Aggregation reduces the standard deviation of demand only if demand across the regions being aggregated is not perfectly positively correlated. Demand for most products does not show perfect positive correlation across different geographical regions. In case demand in different geographical regions is about the same size and independent, aggregation reduces safety inventory by the square root of the number of areas aggregated. In other words, if the number of independent stocking locations decreases by a factor of n, the average safety inventory is expected to decrease by a factor of n.
There are two major disadvantages of aggregating all inventory in one location:
1. Increase in response time to customer order
2. Increase in transportation cost to customer
Both disadvantages result because the average distance between the inventory and the customer increases with aggregation. With this situation, either the customer has to travel more to reach the product or the product has to be shipped over longer distances to reach the customer. However, there are clear benefits to aggregating safety inventory.
The trade-off that a supply chain manager must consider when planning safety inventory is
A
The issue of product availability and the level of safety inventory is particularly significant in industries where
B
Scenario 12.3 - The Cat Café
Daily demand for cat litter at the Cat Café in Jones is 1500 ounces with a standard deviation of 300 ounces. The proprietor orders the best cat litter money can buy online, and the average shipping time is 5 days. Of course, if the order is placed at the end of the week, then it may take a while longer to receive the shipment, so the standard deviation of lead time is 2 days. The state health department keeps a close eye on the condition of the Cat Café; a cat-loving inspector visits at least twice a week, ostensibly to inspect, but mostly to pet his favorite Scottish Fold cat named Groundskeeper Willie.
-Suppose the café wishes to erase any hint of impropriety and wants to peg their service level at 99.5%. What is the level of safety inventory they should carry?
The fraction of replenishment cycles that end with all the customer demand being met is the
The distinction between product fill rate and order fill rate is:
The use of one product to satisfy demand for a different product is
A reduction in supply can help dramatically reduce safety inventory required without hurting product availability.
Carrying excessive inventory can help counter demand volatility when new products come on the market.
Scenario 12.2 - Hamsterdam
Marlo Stanfield's operation also uses large quantities of prepaid cell phones, on average 1500 per week with a standard deviation of 145. The lead time for their own brand of prepaid cell phones is three weeks and they have a lot size of 350 phones. To ensure they never run out, they keep a safety stock of 500 phones with Proposition Joe.
-What is the expected shortage per cycle under this policy?
Product fill rate is the fraction of product demand that is satisfied from product in inventory.
Both ________ and ________ increase as the safety inventory is increased.
When using a continuous review policy, a manager has to account for the uncertainty of demand during the lead time and the review interval.
Manufacturer-driven substitution increases overall profitability for the manufacturer by allowing some aggregation of demand, which reduces the inventory requirements for the same level of availability.
Raising the level of safety inventory increases product availability and thus the margin captured from customer purchases.
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