Through the Walla Walla Road to the entrance of the E-1 parking lot at the University of Washington, vehicles begin to arrive from 7:40 A.M. at a uniform deterministic rate of 480 vph until 8:20 A.M. and from then on at 120 vph. It takes 10 seconds for a vehicle to go through the paying process at the gate. If the parking lot is open at 8:00 A.M., determine (a) when the queue will dissipate, (b) the total delay, (c) the average delay, (d) the maximum queue length (in vehicles), and (e) the longest vehicle delay under FIFO. Show your results graphically. [Hint: D/D/1 analysis]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Through the Walla Walla Road to the entrance of the E-1 parking lot at the University of Washington, vehicles begin to
arrive from 7:40 A.M. at a uniform deterministic rate of 480 vph until 8:20 A.M. and from then on at 120 vph. It takes 10
seconds for a vehicle to go through the paying process at the gate. If the parking lot is open at 8:00 A.M., determine
(a) when the queue will dissipate, (b) the total delay, (c) the average delay, (d) the maximum queue length (in vehicles),
and (e) the longest vehicle delay under FIFO. Show your results graphically.
[Hint: D/D/1 analysis]
Transcribed Image Text:Through the Walla Walla Road to the entrance of the E-1 parking lot at the University of Washington, vehicles begin to arrive from 7:40 A.M. at a uniform deterministic rate of 480 vph until 8:20 A.M. and from then on at 120 vph. It takes 10 seconds for a vehicle to go through the paying process at the gate. If the parking lot is open at 8:00 A.M., determine (a) when the queue will dissipate, (b) the total delay, (c) the average delay, (d) the maximum queue length (in vehicles), and (e) the longest vehicle delay under FIFO. Show your results graphically. [Hint: D/D/1 analysis]
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