PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 8, Problem 32P
To determine
The percentage that would take route
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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
7
Two routes connect an origin and destination with performance function t; = aj + (xj/cj)2 (with t's in minutes and x's in thousands of vehicles
per hour). It is known that at user equilibrium, 65% of the origin-destination demand takes route 1. How many vehicles (in thousands) will
take route 1 if system optimal equilibrium is archived?
Route 1
Route 2
a
7
2
3
8.18 Two routes connect an origin and a destination.
Routes 1 and 2 have performance functions t₁ = 2 + x₁
and t₂ = 1 + x2, where the 's are in minutes and the x's
are in thousands of vehicles per hour. The travel times
on the routes are known to be in user equilibrium. If an
observation for route 1 finds that the gaps between
30% of the vehicles are less than 6 seconds, estimate the
volume and average travel times for the two routes.
(Hint: Assume a Poisson distribution of vehicle
arrivals, as discussed in Chapter 5.)
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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- Suppose that the projected road vehicle traffic flow in a corridor is 5000 vehicle-trips per hour in one direction. The average perceived user cost functions of the two major highways (Route 1 and Route 2 in the corridor are as follows (in dollars): Route 1: Ci =1 +8(qı/5000) Route 2: C2 = 1+10(q2/2500) Where: qi and q2 are the traffic flows on Route 1 and Route 2 respectively. Calculate the volume of traffic during the peak hour on each route, if users were free to choose their own routes.arrow_forwardTwo routes connect a city and suburb. During the peak-hour morning commute, a total of 5000 vehicles travel from the suburb to the city. Route 1 has a 50km/hr speed limit and 5km in length, Route 2 has a 55km/hr speed limit and 4 km in length. Studies show that the total travel time on route 1 increases 2 mins for every extra 500 vehicles added. Mins of travel time on route 2 increase with the square of the no. of vehicles expressed in 000’s. Determine user equilibrium travel times.arrow_forward8.5 If small express buses leave the origin described in Example 8.5 and all are filled to their capacity of 20 travelers, how many work-trip vehicles leave from origin to destination in Example 8.5 during the peak hour?arrow_forward
- hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium conditionarrow_forward8.25 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?arrow_forwardExample: 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.arrow_forward
- A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak-hour social/recreational trips if employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household = 0.04 + 0.018(household size) + 0.009(annual household income [in thousands of dollars]) + 0.16(number of nonworking household members) Round off final answers to whole number.arrow_forwardVehicles arrive at the parking booth of SM City Tarlac at a rate of 250 vehicles per hour. If the attendant can process a vehicle in 12 seconds, determine the average length of the queue if both the arrivals and departures are exponentially distributed. Note: Answer must be whole number. No need to include the unit. (i.e. 2)arrow_forwardA simple work-mode-choice model is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive-alone (DL), automobile shared-ride (SR), and bus (B), and the utility functions are estimated as: UDL = 2.2-0.2(costp)-0.03(travel timepz) USR 0.8 – 0.2(costsR) – 0.03(travel timesR) Us = -0.2(costa)- 0.01(travel time,) where cost is in dollars and time is in minutes. Between a residential area and an industrial complex, 4000 workers (generating vehicle-based trips) depart for work during the peak hour. For all workers, the cost of driving an automobile is $6.00 with a travel time of 20 minutes, and the bus fare is $1.00 with a travel time of 25 minutes. If the shared-ride option always consists of two travelers sharing costs equally, how many workers will take each mode?arrow_forward
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