PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 8, Problem 6P
To determine
The number of work trip vehicles leave from destination during peak hour.
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Students have asked these similar questions
Q2. It is known that 4000 automobile trips are generated in a large
residential area from noon to 1:00 P.M. on Saturdays for shopping
purposes. Four major shopping centers have the following
characteristics: If a logit model is estimated with coefficients of
-0.543 for distance and 0.0165 for commercial space (in
thousands of ft²), how many shopping trips will be made to each
of the four shopping centers?
Shopping Distance from Commercial
residential area floor space
(mi)
center
(thousands of ft2)
1
2.4
200
2
4.6
150
3
5.0
300
4
8.7
600
It is known that 10,000 automobile trips are generated in a large residential area from noon to 1:00 pm on Saturdays for shopping purposes.
Four major shopping centers have the following characteristics:
Commercial floor
Distance from the
residential area (mi)
space (thousands of
ft2)
Shopping center
1
3.4
340
8.3
650
3
6
640
4
6.1
480
If a logit model is estimated with coefficients of -0.792 for distance and 0.0065 for commercial space (in thousands of ft2), how many shopping
trips will the most popular shopping center have (in automobile trips)?
Example:
A busy travel corridor connecting a suburb with the city center is
served by two routes having a typical travel time function, t =a +
b(q/c), where t is the time in minutes, q is the vehicular flow in
veh/hr, and c is the capacity of the route in veh/hr. The existing
characteristics of the two routes is as follows:
Route a b c
1
34
3000
2
4 2 4000
(a) If the existing peak-hour demand is 5000 veh/hr, what is the traffic
distribution on the two routes?
(b) If repair work on Route 1 reduces its capacity to 2000 veh/hr, what
is likely to be the traffic distribution on the two routes for the
duration of the repairs?
(c) It is anticipated that after the repairs are completed on Route 1, its
capacity will be 4200 veh/hr. How will this affect the distribution.
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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Similar questions
- Three routes connect an origin and destination with performance function tj = aj + bjxj/cj (with t's in minutes and x's in thousands of vehicles per hour). If the total origin-to-destination hourly demand is 10,000 vehicles, what is a travel time in minutes (input answer in a form 00,00 minutes). Route 1 Route 2 Route 3 a 13 8 9 b 1.9 2.5 2.1 6. 8 7arrow_forwardThe performance function for a highway connecting a suburb with the business district can be represented by a straight line of the form t = a + bp, where t is the travel time in minutes, q is the traffic flow in vehicles per hour, and a and b are constants equal to 15 minutes and 0.01 minute/vehicle-hour, respectively. The demand function, also represented by a straight line, is q = c + dt, where c and d are constants equal to 6000 vehicles/hr and vehicles/hour/minute, respectively. (a) Find the equilibrium flow (q*) and the corresponding equilibrium time (t*) algebraically, and sketch the functions. (b) If the length of this highway is 25 miles, what is the average speed of vehicles along this highway? (c) It is proposed to improve this highway such that constant b is now 0.005. What would be the new values of t* and q* and what would be the average speed on this highway?arrow_forwardIt is known that 4000 automobile trips are generated in a large residential area from noon to 1:00 P.M. on Saturdays for shopping purposes. Four major shopping centers have the following characteristics: Distance from Shopping Center Number Commercial Floor Space (in thousands of m^2) Residential Area (km) 4 20 15 3 30 4 14 60 If a logit model is estimated with coefficients -0.283 for distance and 0.172 for commercial space (in thousands of m^2), how many shopping trips will be made to each of the four shopping centers?arrow_forward
- Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.arrow_forwardVehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds isarrow_forwardVehicles are known to arrive according to a Poisson process at a specific spot on a highway. Vehicles are tallied at 20-second intervals, with 150 of these intervals being 20-second intervals. In 20 of the 150 periods, no automobiles have arrived. Estimate the number of these 150 intervals in which four automobiles arrive at the same time. Please do 3 decimal places. Asaaparrow_forward
- A convenience store has four available parking spaces. The owner predicts that the duration of customer shopping (the time the customer's vehicle will occupy a parking space) is exponentially distributed with a mean of 6 minutes. The owner knows that in the busiest hour customer arrivals are exponentially distributed with a mean arrival rate of 30 customers per hour. What is the probability that a customer will not have an open parking space available when arriving at the store? Round off answer in four decimal places.arrow_forward10.6 It is observed that on an average 240 vehicles pass through a point on the highway in every hour. Using Poisson distribution, compute the probability of 1 vehicle arriving at a 30 sec time interval.arrow_forwardVehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval isarrow_forward
- Given the utility function: U = AA- 0.35(TT) – 0.08(WT) – 0.005(C) Question 2 where AA is the mode specific variable; TT is the travel time in minutes; WT is the waiting time in minutes; and Cis the travel cost in cents. The attributes of trips between two traffic analysis zones are shown in the table below. Calculate the probability of car and bus. Variable Car Bus AA -0.46 -0.07 TT 20 30 WT 8 320 100arrow_forwardThree routes connect an origin to a destination with the following link performance functions: t_1 = 8 + 0.5 x_2 t_2 = 1 + 2x_2 t_3 = 3 + 0.75x_3 where t's in minutes and x's in thousands of vehicle per hour. If the peak-hour traffic demand is 4000 vehicles, determine the user equilibrium (UE) flows.arrow_forwardIn one hour, 4000 automobile trips are generated in a large residential area from noon on Saturdays for shopping purposes. Four major shopping centers have the following characteristics: Shopping Center Number Distance from Residential Area (km) Commercial Floor Space (in thousands of m^2) 1 4 20 2 9 15 3 8 30 4 14 60 If a logit model is estimated with coefficients -0.283 for distance and 0.172 for commercial space (in thousands of m^2), how many shopping trips will be made to each of the four shopping centers?arrow_forward
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