30 17 Consider a street netw 80 The numbers on the a one-way signs on stree the point s to the point

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A Cui separating the source and the sink.
(iii) The capacity of a cut.
(b) Find the maximum flow from the source to the sink using the labeling method.
(c) Find the minimum cut, and verify the max-flow min-cut theorem.
Consider a street network as shown below:
60
30
70
10
20
10
80
40
100
The numbers on the arcs represent the traffic flow capacities. The problem is to place
one-way signs on streets not already oriented so as to maximize the traffic flow from
the point s to the point n. Solve by the labeling method.
18. A certain commodity is to be shipped from three warehouses to four markets. The
warehouse supplies are 20, 20, and 100 units. The market demands are 20, 20, 60, and
20 units. It is not possible to ship from all the warehouses to all the markets. The fol-
Transcribed Image Text:A Cui separating the source and the sink. (iii) The capacity of a cut. (b) Find the maximum flow from the source to the sink using the labeling method. (c) Find the minimum cut, and verify the max-flow min-cut theorem. Consider a street network as shown below: 60 30 70 10 20 10 80 40 100 The numbers on the arcs represent the traffic flow capacities. The problem is to place one-way signs on streets not already oriented so as to maximize the traffic flow from the point s to the point n. Solve by the labeling method. 18. A certain commodity is to be shipped from three warehouses to four markets. The warehouse supplies are 20, 20, and 100 units. The market demands are 20, 20, 60, and 20 units. It is not possible to ship from all the warehouses to all the markets. The fol-
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