Sa – Situation Anlysis

Pa – Problem Analysis

Da – Decission Analysis

Pa – Probabilty Analysis

1) Suppose that a peak harvest-season day involves 18,000 barrels of berries, 70% of them wet harvested, arriving uniformly over a twelve-hour period from 7 a.m. to 7 p.m., and process initiates as soon as the first truck arrives.

a) At what time during the day, would the trucks start queuing up to upload?

Answer: - Trucks carrying wet berries will have to wait to unload during the day because the incoming arrival rate is 1050 is greater than processing rate 600. The Trucks arriving with dry berries will not have to wait as processing is greater than arrival. Also, if Maximum storage capacity is been used for storing wet berries then total available will be 3200 bbls. Assuming all storage was empty @ 7:00 A.M , trucks delivering wet berries would have to start waiting after 10:00 A.M as the bins would be full (3200/1050 – 3.04 hours) Also, the Processing will be completed at 4:00 A.M on Peak Harvest Day assuming that work will start at 7:00 A.M

This has been assumed with following Logic – Considering that each truck carried the same number of Barrels; 1500 barrels (18,000/12) are delivered every hour over a period of 12 hours. Each truck will contain 1050 barrels (70%) of wet berries and 450(30%) barrels of dry berries. Thus, the total input for the day will be 12,600(70% of 18000) of wet berries and 5400(30% of 18000) of dry berries.

Since the process capacity is of bottleneck, the capacity of the cranberry process is 600 bbls/hour. Also, we have to take note that only wet berries go through the drying process and thus the processing of the dry berries are not affected by this. The process capacity of processing dry berries alone would be 1200 bbls per hour (Bottleneck = Quality Grading). However, even with the capacity of 1200 bbls per hour, all dry berries received