PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Question
Chapter 5, Problem 36P
To determine
The average delay per vehicle, the maximum queue length and the average queue length.
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Check out a sample textbook solutionStudents have asked these similar questions
Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. In how many minutes does the queue dissipate?
Select one:
a. 60
b. 70
c. 75
d. 80
36 transpo help
10-Trucks begin to arrive at a truck weigh station (with a single scale) at 6:00 A.M. at a deterministic
but time-varying rate of 2(t)= 4.3-0.22t where (t) is in veh/min and t is in minutes. The departure
rate is a constant 2 veh/min (time to weigh a truck is 30 seconds). When will the queue that forms be
cleared, what will be the total delay, and what will be the maximum queue length?
Chapter 5 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - The arrival rate at a parking lot is 6 veh/min....Ch. 5 - Prob. 16PCh. 5 - At the end of a sporting event, vehicles begin...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Vehicles begin arriving at a single toll-road...Ch. 5 - Vehicles begin to arrive at a toll booth at 8:50...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Vehicles begin to arrive at a parking lot at 6:00...Ch. 5 - At a parking lot, vehicles arrive according to a...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Vehicles arrive at a recreational park booth at a...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A truck weighing station has a single scale. The...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Vehicles leave an airport parking facility (arrive...Ch. 5 - Vehicles begin to arrive at a parking lot at 7:45...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - A theme park has a single entrance gate where...Ch. 5 - Prob. 54PCh. 5 - Prob. 55P
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Similar questions
- At 8:00 A.M. there are 10 vehicles in a queue at a toll booth and vehicles are arriving at a rate of (t) = 6.9 − 0.2t. Beginning at 8 A.M., vehicles are being serviced at a rate of (t) = 2.1 + 0.3t ((t) and (t) are in vehicles per minute and t is in minutes after 8:00 A.M.). Assuming D/D/1 queuing, what is the maximum queue length, and what would the total delay be from 8:00 A.M. until the queue clears? (Also Draw the D/D1)arrow_forwardAt 8:00 A.M. there are 10 vehicles in a queue at a toll booth and vehicles are arriving at a rate of (t) = 6.9 − 0.2t. Beginning at 8 A.M., vehicles are being serviced at a rate of (t) = 2.1 + 0.3t ((t) and (t) are in vehicles per minute and t is in minutes after 8:00 A.M.). Assuming D/D/1 queuing, what is the maximum queue length, and what would the total delay be from 8:00 A.M. until the queue clears?arrow_forwardVehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate opens at 7:00 PM and processes cars at a rate of 5 vehicles per minute. At 7:10 PM, a second gate opens, doubling the rate at which cars are processed. What is the average vehicle delay? Assume D/D/1 queuing.arrow_forward
- Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the demand reduces to 1000 veh/hour at 7:30 AM and continues at that rate. The ticketing booth to enter the parking lot can only serve the vehicles at 1000 veh/hour until 7:15 AM, after which the service rate increases to 2000 veh/hour. Assuming D/D/1 queuing, draw a queuing diagram for this situation. Find: a) the time at which the queue clears, b) the total delay, c) the longest queue length, and d) wait time of the 500th and 2000th vehicles to arrive to the parking lot (assuming FIFO conditions)?arrow_forward34. transpo plsarrow_forwardThe table below shows the number of vehicles observed on a corridor over each 15-minutes during the peak hour. Peak hour (7--8am) 7:00-7:15am 7:15-7:30am 7:30-7:45am 7:45-8:00am # of vehicle 200 120 153 183 Calculate the peak hour factor and report your answer correct to two digits after the decimal.arrow_forward
- Transpo Engineeringarrow_forwardAt exactly 8:00 AM, vehicles start to enter a single toll gate at a rate of 8 veh/min following a deterministic distribution. Due to the teller being late, the toll booth opened at 8:10 AM having a service rate of 10 veh/min following a deterministic distribution. What is the Maximum Queue Length in the system? o 70 vehicles o 90 vehicles o 80 vehicles o 60 vehiclesarrow_forwardPlease show the entire process as I want to understand the material.arrow_forward
- 2. [-/8 Points] For a peak hour volume of 840 vehicles, within which the peak 15-minute volume is 244 vehicles, the PHF is: 0.86 0.29 3.44 O 1.00 DETAILS 1.13 MY NOTES ASK YOUR TEACHERarrow_forwardAt 10 am, vehicles arrive at a toll booth facility at the rate of 480vehicles/hour. Initially, the toll booth is closed from 10:00 am until 10:15 am. Then it opens from 10:15with a service rate of 6 seconds per vehicle. Assuming D/D/1 queuing, determine:(1) At what time queue disappears? (2) What is the total delay? (3) What is the maximum Queuelength? (4) What is the queue length at 10:00 am? (5) What is maximum delay? (6) What is thedelay for the 140th and 170th vehicle?arrow_forwardLet us suppose a 15-minute count of vehicles bound for Quezon City was conducted at a particular location on España Avenue during afternoon peak period. A summary is shown in the table below: Type Passenger Car Unit (PCU) Equivalence 15-Minute Count Car/Van Jeepney Bus Truck 1.0 1.4 2.5 3.0 476 350 20 32 Estimate the flow rate in pcu per hour. (Note: PCU is simply the number of vehicles multiplied by the PCU Equivalence.arrow_forward
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