Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Consider the following graph. Node I is the source node and node 8 is the terminal node.
(a)
Solve the maximal flow problem from node 1 to node 8 using the Ford-Fulkerson
method. As an initial path, use 1 3→7 8 and use the path 12→5→8at the
second iteration. At every iteration, please show the path and the residual graph. Finally,
show the optimal flow path.
12
10
1
13
5
3
(b)
Formulate the above maximal flow problem as a linear (integer) programming
problem.
2.
3.
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Transcribed Image Text:Consider the following graph. Node I is the source node and node 8 is the terminal node. (a) Solve the maximal flow problem from node 1 to node 8 using the Ford-Fulkerson method. As an initial path, use 1 3→7 8 and use the path 12→5→8at the second iteration. At every iteration, please show the path and the residual graph. Finally, show the optimal flow path. 12 10 1 13 5 3 (b) Formulate the above maximal flow problem as a linear (integer) programming problem. 2. 3.
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