Vehicles arrive at a toll system at random at an average rate of 12 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 Average length of queue of vehicles 2. Average waiting time in a queue 3. Average time spent in a queue

Vehicles arrive at a toll system at random at an average rate of 12 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 Average length of queue of vehicles 2. Average waiting time in a queue 3. Average time spent in a queue

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Vehicles arrive at a toll system at random at an
average rate of 12 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 Average length of queue of vehicles
2. Average waiting time in a queue
3. Average time spent in a queue
4. If one toll ticket booth is closed and service time
is reduced by 3 seconds, what are the Q, W and T
of the system? And plot the arrival distribution
curve for this traffic condition

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