Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Question
Chapter 8, Problem 38P
To determine
The system optimal travel time.
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A study showed that during the peak-hour commute on two routes connecting a suburb with a large city, there are a total of 5500 vehicles that make the trip. Route 1 is 7 miles long with a 65-mi/h speed limit and route 2 is 4 miles long with a speed limit of 50 mi/h. The study also found that the travel time on route 2 increases with the square of the number of vehicles, while the route 1 travel time increases two minutes for every 500 additional vehicles added. Determine the user-equilibrium travel time in minutes.
Two 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.
A certain single lane/on-ramp highway was estimated to have a utilization ratio of 0.893. The rate of arrival of vehicles follows a negative exponential distribution with an average of 296 vehicles per hour. If the service rate is also known to be stochastic,
a.Compute the service rate in vehicles/hr.
b.Compute the average waiting time at the stop sign per vehicle in seconds.
c.Compute the average time spent in the system in seconds.
Chapter 8 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
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