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 35P
To determine
The total delay and maximum queue length.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Question 2
Trucks begin to arrive at a truck weighing station (with a single scale) at 8:00
A.M. at a deterministic time-varying rate of λ (t) = 5.2 - 0.24t [X(t) is in veh/min
and t in minutes]. The departure rate is a constant 2.2 veh/min (time to weigh
a truck is 27.27 seconds).
(i) When will the queue that forms be cleared?
(ii) What will be the maximum queue length?
(iii) Determine the total delay
(iv) Estimate the average time delay per vehicle
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?
A truck weighing station has a single scale. The time between truck arriving at the station is exponentially distributed with a mean arrival rate of 2.30 veh/min. The time it takes vehicles to be weighed is exponentially distributed with a mean rate of 2.60 veh/min. When more than ten trucks are in the system, the queue backs up onto the highway and interferes with through traffic. What is the probability that the number of trucks in the system will exceed 10? State your answer in a form 0.0000.
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
- A 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_forwardVehicles arrive at the parking booth of SM City Tarlac at a rate of 250 vehicles per hour. If the attendant can process a vehicle in 12 seconds, determine the average length of the queue if both the arrivals and departures are exponentially distributed. Note: Answer must be whole number. No need to include the unit. (i.e. 2)arrow_forwardOn a certain bus terminal, there are two terminals that can travels to the south. The number of passengers going to the south arriving in the terminal is 150 persons per minute, and the number of people can ride the bus is 100 per minute. Both arrival and departure rates can be assumed to be exponentially distributed. What is the probability having 0 ppassengers in the queue? a. 0.143b. 0.375c. 0.209d. 0.182arrow_forward
- Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given as P: d = 60t Q: d = 60t² Within the first one hour, the maximum space headway would bearrow_forwardthe following data were taken on five cars traversing a 1.3 km highway. car time (mins.) a 1.7 b 1.4 c 1.6 d 1.2 e 1.7 determine the space mean spead, in kph. express your answer in 2 decimal places.arrow_forwardQuèstion 14 The following data were taken on five cars traversing a 2-km highway. Car Time (minutes) A 1.9 1.5 1.7 1.6 1.9 Determine the space mean speed, in kph. Express your answer in 2 decimal places. A Moving to another question will save this response. acerarrow_forward
- A highway has directional arrival rate of 30 [veh/min] and capacity of 40 [veh/min]. At time t = 0 [min], an accident occurs and stops all traffic. At t = 20 [min], the accident is cleared, and the highway returns to its original capacity. What are the values of lambda (1) and mu (µ) at t= 30? a b At what time does the queue clear? Present your answer to the nearest minute.arrow_forwardA civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. If the office offers coffee from 8:50AM to 9:00AM, and he leaves his house at 8:35AM. what is the probability (in percent) that he misses coffee?arrow_forwardThree routes connect an origin and destination with performance function tj = aj + bjxj/cj (with t's in minutes and x's in thousands of vehicles per hour). If the total origin-to-destination hourly demand is 10,000 vehicles, what is a travel time in minutes (input answer in a form 00,00 minutes). Route 1 Route 2 Route 3 a 13 8 9 b 1.9 2.5 2.1 6. 8 7arrow_forward
- Example: The total number of vehicles in each month are given in the table below. Find:- い همر المرسر لت 1- ADT for each month 2- AADT 365 Month 1 3 4 8 10 12 28 ADT Total No. of no. of vehicles (×1000) (00 x pda) 425 days 13.7 31 14.6 410 12.4 385 30 13.2 31 14.5 450 16.6 31 18.7 31 18.3 570 16.3 31 13.5 420 31 13.8 415 30 12.9 31 Sumarrow_forwardCivil Engineering On a certain bus terminal, there are two terminals that can travels to the south. The number of passengers going to the south arriving in the terminal is 150 persons per minute, and the number of people can ride the bus is 100 per minute. Both arrival and departure rates can be assumed to be exponentially distributed. 1.) What is the probability of having 0 passengers in the queue? a. 0.182 b. 0.375 c. 0.143 d. 0.209 2.) what is the average waiting time in queue? a. 0.771 b. 0.665 c. 0.714 d. 0.637arrow_forwardAfter observing arrivals and departures at a highway toll booth over a 60-minute time period, an observer notes that the arrival and departure rates (or service rates) are deterministic, but instead of being uniform, they change over time according to a known function. The arrival rate is given by the function, ?(?) = 2.2 + 0.17? − 0.0032?^2, and the departure rate is given by ?(?) = 1.2 + 0.07?, where t is in minutes after the beginning of the observation period and ?(?) and ?(?) are in vehicles per minute. Determine the total vehicle delay at the toll booth and the longest queue, assuming D/D/1 queuing.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning