Traffic MCNFP
Each hour, an average of 900 cars enter the network in Figure 46 at node 1 and seek to travel to node 6. The time it takes a car to traverse each arc is shown in Table.
Travel Times for Traffic Example
Time
Arc
(Minutes)
(1, 2)
10
(1, 3)
50
(2, 5)
70
(2, 4)
30
(5, 6)
(4, 5)
(4, 6)
60
(3, 5)
(3, 4)
In Figure 46, the number above each arc is the maximum number of cars that can pass by any point on the arc during a one-hour period.
Formulate an MCNFP that minimizes the total time required for all cars to travel from node 1 to node 6.
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