PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 5, Problem 23P
To determine

The total delay and maximum queue length.

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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.
At exactly 8:05AM, vehicles start to enter a single toll gate at rate of 7veh/min following deterministic distribution. Due to teller being late, the toll booth opened at 8:20AM having a service rate of 8.5veh/min. Determine the time of queue dissipation, total vehicles at queue dissipation, longest vehicle delay, longest vehicle queue, total vehicle delay, and average delay per vehicle.
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?
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