Figure below shows a simple highway network consisting of three
zones (1, 2, and 3) and four links (AB, AC, BC, and CD). Note the
arrows on each link indicating that the link is a two-way or
one-way link. The link performance functions for each link are also
provided below. The inter-zonal travel demand is as follows: 1 to
2, 600 trips; 1 to 3, 1000 trips; and 2 to 3, 400 trips.
TAB = 8.0 + 0.005(VAB)
TAC = 10.0 + 0.02(VAC)
TBC = 6.0 + 0.004(VBC)
TCD = 12.0 + 0.02(VCD)
Where: T = Travel Time on Link
V = Traffic Flow on Link
Based on the information provided above, calculate the
following:
[a] Calculate the traffic flows on each link of the network
using a minimum path (all or nothing) traffic assignment
method.
Calculate the traffic flows on each link of the network
using an incremental capacity-constrained traffic assignment model
for the traffic flow between Zone 1 and Zone 3 with four iterations
consisting of 40%, 30%, 20%, and 10% of the traffic flow loading
per iteration. Assume a minimum path assignment for the remaining
zone pairs and load those volumes on the network after the second
increment of the 1 to 3 flows have been assigned.
[c] Calculate the traffic flows on each link of the network
using Wardrop’s First Principle of traffic assignment traffic
assignment model for the traffic flow between Zone 1 and Zone 3.
Assume a minimum path assignment for the remaining zone pairs and
load those volumes on the network first.
[d] Calculate the traffic flows on each link of the network
using Wardrop’s Second Principle of traffic assignment traffic
assignment model.
[e] Calculate the total system travel time for each of the
methods analyzed in Part [a] through [d] and discuss your findings.
Which method results in the most optimal system travel time?
4 -→3 D A ठी
Figure below shows a simple highway network consisting of three zones (1, 2, and 3) and four links (AB, AC, BC, and CD).
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Figure below shows a simple highway network consisting of three zones (1, 2, and 3) and four links (AB, AC, BC, and CD).
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