At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average queue length in vehicles.
At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average queue length in vehicles.
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter4: Traffic Engineering Studies
Section: Chapter Questions
Problem 21P
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Question
At an impaired driver checkpoint, the time required to
conduct the impairment test varies (according to an
exponential distribution) depending on the compliance of
the driver, but takes 60 seconds on average. If an average
of 30 vehicles per hour arrive (according to a Poisson
distribution) at the checkpoint, determine the average
queue length in vehicles.
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