Reference no: EM132193091
An ice-cream parlor sells 9 flavors. By implementing postponement, they keep a generic vanilla flavor in stock and then create the 9 flavors on the spot when ordered. Based on the costs of underage and overage, the in-stock probability before postponement is set at 90%, and after postponement is set at 95% so more customers will get served. The standard deviation of each flavor of ice cream is 20 gallons per week, and the lead time is one week as well. Determine the reduction in safety stock that postponement can achieve.
1. Before postponement: safety stock of each flavor = 17 gallons, so 153 gallons in total. After postponement: 51 gallons of safety stock in total. Thus: a reduction of 102 gallons.
2. Before postponement: safety stock of each flavor = 26 gallons, so 234 gallons in total. After postponement: 99 gallons of safety stock in total. Thus: a reduction of 135 gallons.
3. There would be no reduction: the in-stock probability has increased, so sigma will be greater, so the safety stock will be greater after postponement.
4. The reduction will be exactly 2/3: we go from 9 flavors to 1 flavor with a standard deviation in demand of the square root of 9, which is 3. So: from 9 different flavors to "3" different flavors is a reduction of 2/3.