ine the minimum pipeline network that links the wellheads 15 10 20 20 3 n 12 Delivery point 15 14 13 8 Order of selection: 1-5, 5-6, 5-7, 2-3, 5-9, 9-8, 6-4: Total Le

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OPERATIONS RESEARCH/ADNVANCED MATH (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION NEEDED. CHOOSE THE CORRECT ANSWER.)

3) In Figure below gives the mileage of the feasible links connecting nine
offshore natural gas wellheads with an inshore delivery point. Because wellhead
1 is the closest to shore, it is equipped with sufficient pumping and storage
capacity to pump the output of the remaining eight wells to the delivery point.
Determine the minimum pipeline network that links the wellheads to the delivery
point.
15
10
20
20
12
Delivery point
6
5
15
14
13
a) Order of selection: 1-5, 5-6, 5-7, 2-3, 5-9, 9-8, 6-4: Total Length = 41
b) Order of selection: 1-5, 5-6, 1-2, 5-7, 2-3, 5-9, 9-8, 6-4: Total Length = 41
c) Order of selection: 1-5, 5-6, 1-2, 2-3, 5-9, 9-8, 6-4: Total Length = 41
d) Order of selection: 1-5, 5-6, 1-2, 5-7, 5-9, 9-8, 6-4: Total Length = 41
Transcribed Image Text:3) In Figure below gives the mileage of the feasible links connecting nine offshore natural gas wellheads with an inshore delivery point. Because wellhead 1 is the closest to shore, it is equipped with sufficient pumping and storage capacity to pump the output of the remaining eight wells to the delivery point. Determine the minimum pipeline network that links the wellheads to the delivery point. 15 10 20 20 12 Delivery point 6 5 15 14 13 a) Order of selection: 1-5, 5-6, 5-7, 2-3, 5-9, 9-8, 6-4: Total Length = 41 b) Order of selection: 1-5, 5-6, 1-2, 5-7, 2-3, 5-9, 9-8, 6-4: Total Length = 41 c) Order of selection: 1-5, 5-6, 1-2, 2-3, 5-9, 9-8, 6-4: Total Length = 41 d) Order of selection: 1-5, 5-6, 1-2, 5-7, 5-9, 9-8, 6-4: Total Length = 41
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