USE THE PROBLEM STATEMENT BELOW TO ANSWER THE FOLLOWONG QUESTIONS Three 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/h and b) 5000 veh/h. Part a: use demand 10,000 veh/h Are all routes used? Make sure to show all logic explaining your reasoning in the PDF submission. O Yes O No Determine the traffic flow on route 1 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 2 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 3 in vehicles per hour. Round answer to nearest WHOLE number. Part b: use demand 5,000 veh/h for the following questions Are all routes used? Make sure to show all logic explaining your reasoning in the PDF submission. ○ Yes ○ No Determine the traffic flow on route 1 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 2 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 3 in vehicles per hour. Round answer to nearest WHOLE number.

USE THE PROBLEM STATEMENT BELOW TO ANSWER THE FOLLOWONG QUESTIONS Three 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/h and b) 5000 veh/h. Part a: use demand 10,000 veh/h Are all routes used? Make sure to show all logic explaining your reasoning in the PDF submission. O Yes O No Determine the traffic flow on route 1 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 2 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 3 in vehicles per hour. Round answer to nearest WHOLE number. Part b: use demand 5,000 veh/h for the following questions Are all routes used? Make sure to show all logic explaining your reasoning in the PDF submission. ○ Yes ○ No Determine the traffic flow on route 1 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 2 in vehicles per hour. Round answer to nearest WHOLE number. Determine the traffic flow on route 3 in vehicles per hour. Round answer to nearest WHOLE number.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 5P

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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
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?
Give me right solution with clear calculations.
Average demand on a rural roadway ranges from zero to 600 veh/day when the cost per trip goes from $1.75 to zero. (a) Calculate the net user benefits per year (in dollars) if the cost decreases from $1.50 to $0.75/trip (assume a linear demand function). $ 29 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results roundoff error. (b) Compare the value calculated in (a) with the benefits as calculated in typical highway studies. (Enter the benefits in dollars as calculated in typical highway studies.) $ 88000 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results E roundoff error.
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
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.
Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following information: Utility function: Uk = Ak – 0.07 Ta – 0.05 Tw – 0.04 Tr – 0.015 C
8.21 Three routes connect an origin and destination with performance functions t₁ = 2 +0.5x₁,₂ = 1 + x2 and 13 = 4 + 0.2x, (with f'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) 5000 veh/h.
solve and show complete solution. tnx
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.
Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following informa- tion: Utility function: U = A - 0.05 T – 0.04 T, – 0.03 T, –0.014 C Parameter Private Auto Mass Transit = access time (min.) T. T = waiting time (min.) T, = riding time (min.) C = out-of-pocket cost (cents) Calibration constant, A 14 20 25 %3D 50 70 250 100 -0.012 -0.068
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