The inventory manager at a consumer goods warehouse has long implemented the EOQ-type inventory management model for
Question:
The inventory manager at a consumer goods warehouse has long implemented the EOQ-type inventory management model for its flagship product. Derived from this model, the product is handled with a batch of 1,500 units, a reorder point of 300 units (inventory level available) and a delivery time of 3 weeks. After observing the product demand ratio for several cycles and detecting uncertain behavior in it, especially during delivery time, the administrator concluded that it is necessary to establish a safety inventory. Based on the observations, it could be determined that the demand follows a uniform distribution between 150 and 450 units during the delivery time (demand accumulated in 3 weeks).
Based on the observations and data collected by the administrator, determine a depletion probability table for the series of safety inventories proposed for the star product:
reorder point (deterministic) | inventory | reorder point (probabilistic) | probability exhaustion |
300 | 60 | % | |
300 | 72 | % | |
300 | 84 | % | |
300 | 96 | % | |
300 | 108 | % | |
300 | 120 | % | |
300 | 132 | % | |
300 | 144 | % |
Value at Risk The New Benchmark for Managing Financial Risk
ISBN: 978-0071464956
3rd edition
Authors: Philippe Jorion