Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Chapter 1, Problem 10P
To determine
The comparison between the extents of the U.S. railroad system today with that of 100 years ago.
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Consider the following static route choice problem where 110 vehicles travel from point A to
point B. The corresponding travel time (in minutes) of each link is as follows:
t₁ = x1 ; t₂ =
= x2 + 20; t3 = x3 + 10; t₁ = 3x4
where
Xi
denotes the number of vehicles that choose link i.
Find the number of vehicles that travel on each link when
a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the
minimum travel time; and
b. The system optimum condition (SO) is satisfied, where the total travel time is minimised.
C.
Report the total delay savings when satisfying SO instead of UE.
2
A
B
3
4
=
Assume an origin is connected to a destination with two routes. Assume the travel time of each
route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁×₁ ; t₂
b2x2). Determine under what condition (e.g. a relationship among the parameters of the
performance functions) tolling cannot reduce the total travel time of the two routes.
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For the soil system presented below, calculate and draw diagrams of distributions of the totaland effective stresses and pore water pressure. Assume an upward water flow with a velocity of0.000,001 cm/s.
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Traffic And Highway Engineering
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