Problem 5: Determine the user equilibrium flowsUSE THE PROBLEM STATEMENT BELOW TO ANSWER THE FOLLOWONG QUESTIONSThree routes connect an origin and destination with performance functions t₁ = 2 + 0.5x1, t2==1+x2 and t3 4 + 0.2x3 (with t's in minutes and x's in thousands of vehicles per hour).Determine user-equilibrium flows if the total origin-to-destination demand is a) 10,000 veh/hand b) 5000 veh/h.Determine the traffic flow on route 1 in vehicles per hour. Round answer to nearest WHOLEnumber.Determine the traffic flow on route 2 in vehicles per hour. Round answer to nearest WHOLEnumber.Determine the traffic flow on route 3 in vehicles per hour. Round answer to nearest WHOLEnumber.016

Answered: Problem 5: Determine the user…

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter11: The Transportation Planning Process

Section: Chapter Questions

Problem 22P

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The following 3 Travel Demand Forecasting models were created to estimate the number of peak-hour trips in the suburb of Croydon: T1 = 1.0 + 0.3(household size) + 0.01(household income in thousands of $) T2 = 1.5 + 0.2(household size) + 0.01(household income in thousands of $) T3 = 0.5 + 0.5(household size) + 0.01(household income in thousands of $) The suburb has a total of 3500 households with an average of 4 people per household, an average household income of $90,000 and survey data shows that it generates a total of 11,550 trips in the peak-hour. Which of the above models is the most accurate? A. T1 B. T2 C. T3 D. Can't say as 2 or more models are equally accurate.
hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium condition
Determine the trip distribution matrix using "Gravity Model" of transport system with given the data: Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpd
Suppose that the projected road vehicle traffic flow in a corridor is 5000 vehicle-trips per hour in one direction. The average perceived user cost functions of the two major highways (Route 1 and Route 2 in the corridor are as follows (in dollars): Route 1: Ci =1 +8(qı/5000) Route 2: C2 = 1+10(q2/2500) Where: qi and q2 are the traffic flows on Route 1 and Route 2 respectively. Calculate the volume of traffic during the peak hour on each route, if users were free to choose their own routes.
4. The number of trips generated by each household h (Yh) in Zone A is given by the following household-level regression model: Yh=2.5+1.5 X₁ + 1.2 X2+ 1.0 X3....where, X₁ =Number of Adults (per household). X2 =Number of Cars in the household. X3 =Income in Thousands ($). a. What is the minimum number of trips made by a household based on the equation? b. For a zone labeled “A”, Table 1 provides total number of households classified by household size and number of cars. It is given that the average household income in this Zone is $55K. Compute the number of trips produced from this zone. Table 1: Household Composition for Zone A Number of cars Person per household per household 1 2 3 0 100 200 150 1 300 500 210 2 150 100 60
I 100 3 25 300 1 Current Year IV 50 75 25 200 Future Year T[I] T[I] 250 4 400 2 150 III = 300 = 1000 T [III] = 800 T [IV] = 300 Distribute the trips for inter zonal movement based on Uniform Growth Factor Method and Detroit Method. Compare the iteration number & give your conclusion.
Two routes connect an origin-destination pair with performance functions t₁ = 5 + (x₁/2)² and t₂ = 7+ (x2/4)² (with t's in minutes and x's in thousands of vehicles per hour). It is known that at user equilibrium, 75% of the origin-destination demand takes route 1. What percentage would take route 1 if a system-optimal solution were achieved, and how much travel time would be saved?
Transportation Engineering subj. Choices for both are: 0.627 0.513 0.487 0.328 Hope you can help me, I will upvote thanks :)
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.)
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A work-mode-choice model is developed from data acquired in the field in order 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). The utility functions are estimated as: UDL = 2.6 – 0.3(costDL) – 0.02(travel time DL) USR = 0.7 – 0.3(costSR) – 0.04(travel time SR) UB = –0.3(costB) – 0.01(travel time B) where cost is in dollars and time is in minutes. The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes. How many people will use the shared-ride mode from a community of 4500 workers, assuming the shared-ride option always consists of three individuals sharing costs equally?

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