Vehicles arrive at a toll system at random at an average rate of 15 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 1.1 Average length of queue of vehicles 1.2. Average waiting time in a queue 1.3. Average time spent in a queue 1.4. If one toll ticket booth is closed and service time is reduced by 4 seconds, what are the queuing characteristics of the system? And plot the arrival distribution curve for this traffic condition

Vehicles arrive at a toll system at random at an average rate of 15 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 1.1 Average length of queue of vehicles 1.2. Average waiting time in a queue 1.3. Average time spent in a queue 1.4. If one toll ticket booth is closed and service time is reduced by 4 seconds, what are the queuing characteristics of the system? And plot the arrival distribution curve for this traffic condition

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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Vehicles arrive at a toll system at random at an average rate of 12 vehicles per minute. If there are 2 tollbooths each at random at an average of 6 seconds after services are done for every vehicle at the tollsystem, calculate the following:1. Queuing characteristics2. If one toll ticket booth is closed and service time is reduced by 3 seconds, what are theQueuing characteristics?3. Plot the arrival distribution curve for the traffic conditions stated above.
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