MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305581159
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Chapter 8, Problem 26P
To determine
The queue service length for each phase.
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vehicles start to arrive at a parking area at 6 am with an arrival rate function(vehicles per minute) of lambda(t)=1.2+(0.3)t, where t is in minutes. At 6:15 am, the parking area opens and processed vehicles at a rate of 12 per minute.
a)Determine when does the queue clear?
b)find the total delay?
c)find the maximum queue length?
The arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the queue reaches 36 vehicles, service begins. The company policy states that the total vehicle delay should be equal to 500 veh-min. Assuming D/D/1 queuing and a constant service rate, determine the maximum queue length.
Vehicles begin to arrive at a park entrance at 7:45 A.M. at a constant rate of six per minute and at a constant rate of four vehicles per minute from 8:00 A.M. on. The park opens at 8:00 A.M. and the manager wants to set the departure rate so that the average delay per vehicle is no greater than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum departure rate needed to achieve this
Chapter 8 Solutions
MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28P
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- The arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the queue reaches 36 vehicles, service begins. The company policy states that the total vehicle delay should be equal to 500 veh-min. Assuming D/D/1 queuing and a constant service rate, determine the average delay of any vehicle.arrow_forwardVehicles arrive at a single toll booth beginning at 8:00 AM. They arrive and depart according to a uniform deterministic distribution. However, the toll booth does not open until 8:10 AM. The average arrival rate is 8 veh/min and the average departure rate is 10 veh/min. Assuming D/D/1 queuing, when does the initial queue clear and what are the total delay, the average delay per vehicle, longest queue length (in vehicles), and the wait time of the 100th vehicle to arrive (arrow_forwardA stop sign is installed in one of the road intersection. Rate of arrival at a stop sign is 300 veh/hr and the average waiting time at the stop sign is 10 sec. per vehicle. If both arrivals and departures are exponentially distributed, determine the average queue length (in vehicles).arrow_forward
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