Given a flow network as below with S and T as source and sink (destination). The pair of integers on each edge corresponds to he flow value and the capacity of that edge. For instance, the edge (S,A) has capacity 16 and currently is assigned a flow of 5 units). Assume that we are using the Ford-Fullkerson's method to find a maximum flow for this problem. Fill in the blanks below with your answers. a) An augmenting path in the corresponding residual network is Note: give you answer by listing the vertices along the path, starting with S and ending with T, e.g., SADT (note that this is for demonstration purpose only and may not be a valid answer), with no spaces or punctuation marks, i.e., no commas "," or full tops ".". If there are more than one augmenting path, then you can choose one arbitrarily. >) The maximum increase of the flow value that can be applied along the augmenting path identified in Part a) is c) The value of a maximum flow is

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.10: Quadratic Programming
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Given a flow network as below with S and T as source and sink (destination). The pair of integers on each edge corresponds to
the flow value and the capacity of that edge. For instance, the edge (S.A) has capacity 16 and currently is assigned a flow of 5
(units). Assume that we are using the Ford-Fullkerson's method to find a maximum flow for this problem. Fill in the blanks below
with your answers.
a) An augmenting path in the corresponding residual network is
Note: give you answer by listing the vertices along the path, starting with S and ending with T, e.g., SADT (note that this is for
demonstration purpose only and may not be a valid answer), with no spaces or punctuation marks, i.e., no commas "," or full
stops ".". If there are more than one augmenting path, then you can choose one arbitrarily.
b) The maximum increase of the flow value that can be applied along the augmenting path identified in Part a) is
c) The value of a maximum flow is
Note: your answers for Part b) and Part c) are a single integer with no spaces before or after.
5/5
B
7/7
6/6
6/15
S
5/16
A
1/8
2/7
4/4
Transcribed Image Text:Given a flow network as below with S and T as source and sink (destination). The pair of integers on each edge corresponds to the flow value and the capacity of that edge. For instance, the edge (S.A) has capacity 16 and currently is assigned a flow of 5 (units). Assume that we are using the Ford-Fullkerson's method to find a maximum flow for this problem. Fill in the blanks below with your answers. a) An augmenting path in the corresponding residual network is Note: give you answer by listing the vertices along the path, starting with S and ending with T, e.g., SADT (note that this is for demonstration purpose only and may not be a valid answer), with no spaces or punctuation marks, i.e., no commas "," or full stops ".". If there are more than one augmenting path, then you can choose one arbitrarily. b) The maximum increase of the flow value that can be applied along the augmenting path identified in Part a) is c) The value of a maximum flow is Note: your answers for Part b) and Part c) are a single integer with no spaces before or after. 5/5 B 7/7 6/6 6/15 S 5/16 A 1/8 2/7 4/4
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