Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 36P
To determine
The average delay per vehicle, the maximum queue length and the average queue length.
Expert Solution & Answer
Want to see the full answer?
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
Vehicles begin to arrive at a toll booth at 7:50 a.m. with an arrival rate of λ (t) = 5.2 – 0.01 t (with t in minutes after 7:50 a.m. and λ in vehicles per minute). The toll booth opens at 8:00 a.m. and serves vehicles at a rate of μ (t) = 3.3 + 2.4 t (with t in minutes after 8:00 a.m. and μ in vehicles per minute). Once the service rate reaches 10 veh/min, it stays at that level for the rest of the day. If queuing is D/D/1, when will the queue that formed at 7:50 a.m. be cleared?
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?
Chapter 5 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
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
Knowledge Booster
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_forwardA. There is a traffic accident happened on highway at 6:00 AM the flow rate on that time was 50 veh per min while the normal capacity of highway is 60 veh per min but since there is an accident, it reduced to 22 veh per min, the traffic was cleared after 25 minutes. Determine the length of the queue before the removal of blockage. Also calculate the time that vehicles waited a long line before the removal of blockage and when was the queue cleared?arrow_forward1.. Please show work and steps. If an approach has a PHF of 0.90 and a counted hourly volume of 800 veh/hr what is the maximum 15-minute volume and peak rate of flow? What is the highest and lowest possible value of PHF? At a given location, the space mean speed is measured as 70 mph and the rate of flow as 2200 pc/h/ln. What is the density at this location for the analysis period? How could you decrease the density by 10%?arrow_forward
- At 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_forwardCalculate the average flow rate when transporting a liquid at 10 [m3 / h] using a 3in schedule number 40 standard steel pipe. If the specific gravity of the liquid is 0.9, what is the mass-based flow rate?arrow_forwardA freeway with two northbound lanes is shut down because of an accident. At the time of theaccident, the traffic flow rate is 1200 vehicles per hour per lane and the flow remains at this level.The capacity of the freeway is 2200 vehicles per hour per lane when not impacted by an accident.The freeway is shut down completely for 20 minutes after the accident and then one lane is openfor 20 minutes and finally both lanes are opened (40 minutes after the accident). What is theaverage delay per vehicle resulting from the accident (assuming D/D/1 queuing)?arrow_forward
- At 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_forwardData collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 5 p.m. 5% of these cars are parked for an average of 2 hr, 20% for an average of 3 hr, 10% for an average of 4 hr, and the remaining cars are parked for an average of 9 hr. (a) Determine the space-hours of demand at the lot. (b) If 10% of the parking bays are vacant on average (between 8 a.m. and 5 p.m.) at the parking lot, determine the number of parking bays in the parking lot. Assume an efficiency factor of 0.90. (c) The owner of the parking lot is planning an expansion of her lot to provide adequate demand for the following 10 years. If she has estimated that parking demand for all categories will increase by 3% a year, determine the number of additional parking bays that will be required.arrow_forwardA parking garage has a single processing booth where cars pay for parking. The garage opens at 6:00 A.M. and vehicles start arriving at 6:00 A.M. at a deterministic rate of Ȝ(t) = 6.1 − 0.22t where Ȝ(t) is in vehicles per minute and t is in minutes after 6:00 A.M. What is the maximum constant departure rate (from 6:00 A.M. on) needed to ensure that the queue length does not exceed 10 vehicles? Answer in veh/min. final answer: 8.21arrow_forward
- 2. A public administration holds its flag ceremonies every Monday from 07:00 am –07:15 am. During the singing of National Anthem –which lasts for 2 minutes –all drivers stop in front of the building as a sign of respect. a.Determine the maximum length of queue formed. b.Estimate the time required for the traffic flow to be back to normal.arrow_forwardData collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 6 p.m. 10% of these cars are parked for an average of 2 hr, 30% for an average of 4 hr, and the remaining cars are parked for an average of 10 hr. 1. Determine the space-hours of demand at the lot.arrow_forwardVehicles arrive to the park entrance at a constant rate of 900 veh/hour from 7:30 AM to 8:10 AM and then at a constant rate of 600 veh/hour from 8:10 A.M. The park opens at 8:10 A.M. and the manager wants to set the departure rate so that the average delay per vehicle (i.e.: Total delay/total number of arrival) is no greater than 24 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? What is the total delay at this rate? What is the longest Queue?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning