An expressway off-ramp consisting of a single lane leads directly to a tollbooth. The rate of arrival of vehicles at the expressway can be considered to be Poisson with a www.Civil08.com - The Download Monster Chapter 6 Fundamental Principles of Traffic Flow 263 mean of 50 veh/h, and the rate of service to vehicles can be assumed to be exponen- tially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles

An expressway off-ramp consisting of a single lane leads directly to a tollbooth. The rate of arrival of vehicles at the expressway can be considered to be Poisson with a www.Civil08.com - The Download Monster Chapter 6 Fundamental Principles of Traffic Flow 263 mean of 50 veh/h, and the rate of service to vehicles can be assumed to be exponen- tially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter9: Capacity And Level Of Service For Highway Segments

Section: Chapter Questions

Problem 21P

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The number of vehicles that can enter the on-ramp of Subic-Clark Expressway is controlled by a metering system. If the vehicles can enter the expressway at a rate of 500 veh/hr, and the rate of arrival of the vehicles at the on-ramp is 400 veh/hr during the peak hour. Determine the expected number of units waiting to be served in the system.
In an intersection analysis traffic study, it is recorded that thepercentage of left-turn vehicles from east-bound approach is 20%and average hourly volume of east-bound approach is 2000 veh/hr.The cycle length for this intersection is 90 seconds. Estimate theprobability that not more than or equal to 4 left turn vehicles willcome in a cycle. Use Binomial Distribution.
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The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 45 veh/hr, and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles 90% of the time? Assume the average length of a vehicle is 18 ft and that there is an average space of 10 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the tollbooth (that is, the average waiting time in the queue)?
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Compute the peak hour factor if the hourly volume of traffic is 1882 veh/hour and the highest 15-min volume is 790. Round off to two decimal places.
Subject : Transportation Engineering Give me right solution according to the question. Note: Don't copy from other websites solution. On a given day, 525 veh/h arrive at a tollbooth located at the end of an off-ramp of a rural expressway. If the vehicles can be serviced by only a single channel at the service rate of 605veh/h determine i. The percentage of time the operator of the tollbooth will be free ii. The average number of vehicles in the system iii. The average waiting time for the vehicles that wait
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The minimum cycle length for an intersection is determined to be 95 seconds. The critical lane group flow ratios were calculated as 0.235, 0.250, 0.170, and 0.125 for phases 1–4, respectively. What Xc was used in the determination of this cycle length, assuming a lost time of 5 seconds per phase?