6. 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 remain-ing eight wells ta the delivery point. Determine the minimum pipeline network that links the wellheads to the delivery point. Delivery point 6 3 2 15 10 4 9 7 5 20 20 6 5 12 6 5 15 14 13 Suppose that the wellheads can be divided into two groups depending on gas pressure: a high-pressure group that includes wells 2, 3, 4, and 6, and a law-pressure group that includes wells 5, 7, 8, and 9. Because of pressure difference, it is not possible to link the wellheads from the two groups. At the same time, both groups must be connected to the delivery point through wellhead I. Determine the minimum pipeline network for this situation.
6. 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 remain-ing eight wells ta the delivery point. Determine the minimum pipeline network that links the wellheads to the delivery point. Delivery point 6 3 2 15 10 4 9 7 5 20 20 6 5 12 6 5 15 14 13 Suppose that the wellheads can be divided into two groups depending on gas pressure: a high-pressure group that includes wells 2, 3, 4, and 6, and a law-pressure group that includes wells 5, 7, 8, and 9. Because of pressure difference, it is not possible to link the wellheads from the two groups. At the same time, both groups must be connected to the delivery point through wellhead I. Determine the minimum pipeline network for this situation.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Transcribed Image Text:6. 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 remain-ing eight wells ta the delivery point. Determine the minimum
pipeline network that links the wellheads to the delivery point.
Delivery point
2
15
10
4
9
5
20
20
6
3
4
5
12
6
5
15
14
13
5
Suppose that the wellheads can be divided into two groups depending on gas pressure:
a high-pressure group that includes wells 2, 3, 4, and 6, and a law-pressure group that
includes wells 5, 7, 8, and 9. Because of pressure difference, it is not possible to link the
wellheads from the two groups. At the same time, both groups must be connected to the
delivery point through wellhead 1. Determine the minimum pipeline network for this
situation.
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