GNPC has three refineries that produce gasoline, which is then distributed to four large storage facilities. The total quantities (1000 barrels) produced by each refinery and the total requirements (1000 barrels) for each storage facilities, as well as the associated distribution costs are shown as follows. Refinery Tema Takoradi Saltpond Storage Requirement Accra 90 55 50 10 To (Cost, in GHS 100s) Kumasi Bawku 80 85 45 40 60 35 90 10 Aflao 70 75 85 20 Refinery Available 25 20 15 Due to recent challenges with storage facilities in Kumasi, the warehouse can only operate at 50% of its current storage capacity. a) Based on the information above, develop a network graph of this problem showing all costs and decision variables. Determine the initial feasible solution using Northwest Corner Rule and the total cost under this method. b) determine the initial feasible solution using the Minimum Cell Cost and the total cost under this Method. Compare with the results in (a) and comment on the results based on the two approaches c) Due to the bad nature of the transportation channels, distribution is prohibited from Takoradi to Bawku. Formulate the mathematical model to incorporate this in the problem
GNPC has three refineries that produce gasoline, which is then distributed to four large storage facilities. The total quantities (1000 barrels) produced by each refinery and the total requirements (1000 barrels) for each storage facilities, as well as the associated distribution costs are shown as follows. Refinery Tema Takoradi Saltpond Storage Requirement Accra 90 55 50 10 To (Cost, in GHS 100s) Kumasi Bawku 80 85 45 40 60 35 90 10 Aflao 70 75 85 20 Refinery Available 25 20 15 Due to recent challenges with storage facilities in Kumasi, the warehouse can only operate at 50% of its current storage capacity. a) Based on the information above, develop a network graph of this problem showing all costs and decision variables. Determine the initial feasible solution using Northwest Corner Rule and the total cost under this method. b) determine the initial feasible solution using the Minimum Cell Cost and the total cost under this Method. Compare with the results in (a) and comment on the results based on the two approaches c) Due to the bad nature of the transportation channels, distribution is prohibited from Takoradi to Bawku. Formulate the mathematical model to incorporate this in the problem
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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