is found to vary according to the function
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 1
In studying traffic flow at a highway toll booth over a course of 60 minutes, it is
determined that the arrival and departure rates are deterministic, but not
uniform. The arrival rate is found to vary according to the function of A (t) = 1.8
2
+0.25t -0.0030t. The departure rate function is u(t) =1.4 + 0.11 t. In both of
these functions, t is in minutes after the beginning of the observation and X(t)
and u(t) are in vehicles per minutes.
(i) When will the queue that forms be cleared?
(ii) What time does the maximum queue length occur and what will be the
corresponding queue length?
(iii) Determine the total delay
(iv) Estimate the average time delay per vehicle
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