2. Throughput is defined as
Throughput=Min {Input rate, Process capacity, Demand rate}
Input Rate = 3000 bbls/hr
Input Rate and Demand Rate > Process Capacity
Throughput =Min {Process Capacity}
It is evident from the process flowchart that the capacity of the drying unit is minimum at 450 and maximum at 600 bbls/hr. However, this does not apply to dry berries.
Both dry and wet berries go through the separation process with a capacity of 1200 bbls/hr. Since 70% of the berries are wet, the capacity for separation is recalculated as
Separation capacity for wet berries = 70% of 1200 bbls/hr = 840 bbls/hr
Separation capacity for dry berries = 30% of 1200 bbls/hr = 360 bbls/hr
Since the output from the dryer unit for wet
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Total Capacity (bbls/hr) Wet (bbls/hr) Dry (bbls/hr)
Dumper 3000 2100 900
Bins 7200 3200 4000
Destoning 4500 X 4500
Dechaffing 4500 3150 1350
Drying 600 600 X
Separating 1200 600 600
Arrival rate of berries = 1500 bbls/hr
Start time for processing is 11 AM.
Arrival time of berries = 7 AM.
Time for storage in the dumper and bins = 4 hours
Total number of berries = 1500*4 = 6000 bbls
Total number of wet berries = 70% of 6000 = 4200 bbls
Total number of dry berries = 30% of 6000 = 1800 bbls
Capacity for storage of Dry berries in bins = 3200 bbls
Arrival rate for dry berries = 30% of 1500 bbls/hr = 450 bbls/hr
Bottleneck for dry berries is Separation at 600 bbls/hr which is greater than arrival rate.
Excess berries in bins start getting processed at (600-450) =150 bbls/hr
Arrival of berries stops at 7 PM.
Excess dry berries remaining after 7 PM = 1800 – 8*150 = 600 bbls.
Capacity for storage of Wet berries in bins = 4000 bbls
Arrival rate for wet berries = 70% of 1500 bbls/hr = 1050 bbls/hr
Bottleneck for dry berries is Drying at 600 bbls/hr which is less than arrival rate.
This leads to excess dry berries in addition to the wet berries in the storage.
Rate at which excess backlog wet berries are generated = (1050-600) = 450 bbls/hr
Arrival of berries stops at 7 PM.
Excess wet berries remaining after 7 PM = 4200 + 8*450 = 7800 bbls.
Wet berries remaining in bins = 3200 bbls
Wet berries remaining to be
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