Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Question
Chapter 5, Problem 39P
To determine
The number of spaces to be provided so that the probability of arriving customer finding no parking space as
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Students have asked these similar questions
Answer questions 13, 14, 15 and 16 using the following paragraph:
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.
What is the longest vehicle queue?
Select one:
a.70
b.64
c.80
d.20
OO
At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute.
Estimate average length of queue formed at the toll gate
Group of answer choices
7.09
8.09
9.09
6.09
Vehicles arrive at a toll system at random at an
average rate of 12 vehicles per minute. If there are
2 toll booths each at random at an average of 6
seconds after services are done for every vehicle at
the toll system. Calculate the following:
1 Average length of queue of vehicles
2. Average waiting time in a queue
3. Average time spent in a queue
4. If one toll ticket booth is closed and service time
is reduced by 3 seconds, what are the Q, W and T
of the system? And plot the arrival distribution
curve for this traffic condition
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
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Similar questions
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- A ferry boat queuing lane holds 30 vehicles. If the service rate is a uniform deterministic 4 vehicles per minute and service begins when the lane reaches capacity, what is the uniform deterministic arrival rate if the queue dissipates 30 min. after vehicles begin to arrive?arrow_forwardA theme park has a single entrance gate where visitors must stop and pay for parking. The average arrival rate during the peak hour is 150 veh/h and is Poisson distributed. It takes, on average, 18 seconds per vehicle (exponentially distributed) to pay for parking. What is the average time in the system for this queuing system in minutes/veh? Answer in one-decimal placearrow_forwardA theme park has a single entrance gate where visitors must stop and pay for parking. The average arrival rate during the peak hour is 150 veh/h and is Poisson distributed. It takes, on average, 20 seconds per vehicle (exponentially distributed) to pay for parking. What is the average waiting time for this queuing system in minute/vehicle? Answer in two-decimal placesarrow_forward
- Drivers arrive at a toll booth at a rate of 5 per minute during peak traffic periods. The time between consecutive driver arrivals follows an exponential distribution. What is the probability that it will take a) more one minute between consecutive drivers? b) between 30 seconds and 90 seconds between consecutive drivers?arrow_forwardVehicles arrive at a toll system at random at an average rate of 12 vehicles per minute. If there are 2 tollbooths each at random at an average of 6 seconds after services are done for every vehicle at the tollsystem, calculate the following:1. Queuing characteristics2. If one toll ticket booth is closed and service time is reduced by 3 seconds, what are theQueuing characteristics?3. Plot the arrival distribution curve for the traffic conditions stated above.arrow_forwardVehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between arrivals is exponentially distributed). The parking facility has a policy that the average time a patron spends in a queue waiting to pay for parking isnot to exceed 5 seconds. If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, what is the smallest number of paymentprocessing booths that must be open to keep the average time spent in a queue below 5 seconds?arrow_forward
- Vehicles arrive at a toll system at random at an average rate of 15 vehicles per minute. If there are 2 toll booths each at random at an average of 6 seconds after services are done for every vehicle at the toll system. Calculate the following: 5.1 Average length of queue of vehicles5.2. Average waiting time in a queue5.3. Average time spent in a queue5.4. If one toll ticket booth is closed and service time is reduced by 4 seconds, what are the system’s Q, W and T? And plot the arrival distribution curve for this traffic conditionarrow_forwardRoad Safety According to accident statistics of a certain town over the last three years, the ten intersections having the highest number of accidents are shown in the table below together with the corresponding number of accidents and the total entering vehicles for each intersection. Identify the intersections that may be con sidered hazardous, using 95% level of confidence. Intersection No. Number of Accidents Daily Entering Vehicles 243 15,900 18,300 24,000 13,600 14,200 1. 2. 220 3 310 4. 210 239 17,120 13,700 19,300 47,900 17,100 6. 250 188 8 360 9. 350 10 370arrow_forwardRoad Safety According to accident statistics of a certain town over the last three years, the ten intersections having the highest number of accidents are shown in the table below together with the corresponding number of accidents and the total entering vehicles for each intersection. Identify the intersections that may be considered hazardous, using 95% level of confidence. Intersection No. Number of Accidents Daily Entering Vehicles 1 243 15,900 2 220 18,300 3 310 24,000 4 210 13,600 5 239 14,200 6 250 17,120 7 188 13,700 8 360 19,300 9 350 47,900 10 370 17,100arrow_forward
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