Principles Of Highway Engineering And Traffic Analysis
7th Edition
ISBN: 9781119493969
Author: Mannering, Fred L., WASHBURN, Scott S.
Publisher: Wiley,
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Chapter 8, Problem 25P
To determine
The user equilibrium, system optimal route flow and total travel time.
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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
8.5 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?
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?
Chapter 8 Solutions
Principles Of Highway Engineering And Traffic Analysis
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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- Three 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_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_forwardAn origin-destination pair is connected by a route with a performance function tj = 8 + X1, and another with a function t2 = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle- minutes), and route flows.arrow_forward
- Question: For a two- way bus route, if the demand service is 250 passenger/hr and the route length is 20 km. The route is to be served by 30 seat buses with allow 15 standing passenger with average speed of 40 km/hr. Assuming that all the bus will reach to the destination and leave fully loaded. Also , the bus scheduled must be in 5 minutes increment. Calculate the number of buses required to serve this route ?arrow_forwardAn origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and another with a function t₂ = 1 + 2x₂ (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle-minutes), and route flows.arrow_forwardThe total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?arrow_forward
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