PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 8, Problem 22P
To determine
The minimum origin to destination traffic demand.
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to no congestion on the road further downstream of the railway grade crossing.
QUESTION 5:
Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is
1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes,
respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively.
Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely
proportional to the inter-zonal travel time.
(a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model.
(b) Assume that the future trip production from zone I will increase to 1,250 and the future trip
attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict
the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain
the same.
(c) Compare the number of trips from zone 1 to each destination zone between (a) and (b).
Identify the…
2. There are two routes in use between Zones 1 and 2. The volume-delay functions for the two routes
are as follows:
V1
V2
t1 = 22 +
250
t2 = 15 +
150
where
t = travel time(minutes)
V = traffic volume
If the total traffic volume is 6,950 vehicles per hour between the two zones, what are the traffic
volumes and travel times on each of the two routes at a user-equilibrium (UE) condition?
8.25 Two routes connect an origin and destination
with performance functions t₁ = 5 + 3x₁ and t₂ = 7+
X2, with t's in minutes and x's in thousands of
vehicles per hour. Total origin-destination demand is
7000 vehicles in the peak hour. What are user-
equilibrium and system-optimal route flows and total
travel times?
Chapter 8 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39P
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