Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 16, Problem 6P
To determine

(a)

The definition of drainage area.

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Assuming that the whole DMV is only handled by one queue and one server and both the arrival rate (20 customer per hour) and the service rate (30 customers per hour) random variables are Markovian. (a) What is the mean queue length? [3 pts] (b) Percentage of Idle time of the server? [3 pts] (c) Average number in the queue? [3 pts] (d) Average number in the system? [3 pts] (e) The average wait time in the queue? [3 pts] (f) The average wait time in the system? [3 pts] (g) The probability that no one is in the system. [2 pts]
A toll booth on the Thruway experiences an average inter-arrival time of 3 minutes between each vehicle. As an operator, you want to have a mean queue length of at most 2 vehicles. What mean service rate (per hour) will the toll booth need to provide?
A freeway is to be designed at a location on level terrain for an annual average daily traffic (AADT) of 45,000 vehicles per day. For a conversion of AADT to an annual hourly volume, assume that the K-factor is 0.10 (i.e., the 30th highest hourly volume of the year). In addition, 55% of the peak-hour traffic volume is expected to travel in the peak direction (D = 0.55). This freeway segment will be for regular commuters. Other estimates include: PHF of 0.95, free-flow speed of 65 mph, and 20% trucks of the traffic stream. In order to determine the number of lanes required to provide at least LOS C, answer the following questions. (a) Determine Free Flow Speed (FFS) [4 pts] (b) Find the directional design-hour volume (DDHV) [4 pts] (c) Find fHv [4 pts] (d) Determine the number of lanes required. [4 pts] (e) Check the expected LOS for 2-directional lanes on this freeway segment. [4 pts]
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