Three refineries with maximum daily capacities of 6, 5, and 8 million litres of oil supply three
Question:
Three refineries with maximum daily capacities of 6, 5, and 8 million litres of oil supply three distribution areas with daily demands of 4, 8 and 7 million litres. Oil is transported to the three distribution areas through a network of pipes.The transportation cost is 1 cents per 100 litres per km. The table below shows the lengths of the pipes (in kms) connecting refineries with distribution areas. The interpretation of the – entry is that refinery 1 is not connected to distribution area 3. Construct the associated transportation problem model. Make sure you give the network, indicate the supply/demand at each node, and give the cost and capacity for each arc.
Area 1 | Area 2 | Area 3 | |
---|---|---|---|
Refinery 1 | 120 | 180 | - |
Refinery 2 | 300 | 100 | 80 |
Refinery 3 | 200 | 250 | 120 |
Introduction to Chemical Engineering Thermodynamics
ISBN: 978-0071247085
7th edition
Authors: J. M. Smith, H. C. Van Ness, M. M. Abbott