720 Tourist # "Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 4 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 7 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 1 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate how many minutes are needed to dissipate the queue? (Round to the nearest integer and fill in the blank with a number only.) D/D/1 180 360 Time (min)

720 Tourist # "Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 4 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 7 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 1 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate how many minutes are needed to dissipate the queue? (Round to the nearest integer and fill in the blank with a number only.) D/D/1 180 360 Time (min)

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...

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Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 8:00 A.M., the average arrival rate be 240 veh/h and Poisson distributed (exponential times between arrivals) over the entire period from park opening time (8:00 A.M.) until closing at dusk. If the time required to distribute the brochure is 10 seconds, the distribution time varies depending on whether park patrons have questions relating to park operating policies, assuming M/M/1 queuing. a.) Compute the average length of queue (express in veh), b.) Average waiting time in the queue (express in min/veh), c.) and average time spent in the system(express in min/veh)
Compute the peak hour factor if the hourly volume of traffic is 1882 veh/hour and the highest 15-min volume is 790. Round off to two decimal places.
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to be Poisson with a mean of 30 veh/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. 6-23 (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Length of Queue at 8:1OAM. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Longest Vehicle Queue. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the time that the queue will dissipate. Answer must be in this format: *:**AM, minute time must be rounded off to the nearest whole number (i.e. 8:50AM)
Compute the peak hour factor if the hourly volume of traffic is 1969 veh/hour and the highest 15-min volume is 737.
Compute the peak hour factor if the hourly volume of traffic is 1800 vehicles/hour and the highest 20-min. volume is 800.
2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1 2 4 The travel times are as follows: 5 13 min 20 min 15 min 450 600 270 325 0 9 min 7 min 5 min 3 400 750 120 0 350 Determine the trips on the following: T1-3 and T2-5.
Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes free brochures. The park opens at 8:00 AM. At which vehicles begin to arrive at a rate of 480 veh/h. After 20 minutes, the arrival flow rate declines to 120 veh/h and corrtinues at that level for the remainder of the day. If the time required to distribute the brochure is 15 seconds, and assuming D/D/1 queuing (a) draw the queuing diagram (b) describe the operational characteristics of the queue (maximum queue length, maximum queuing time, average queuing time per vehicle etc.)
delay? 4. The gate entrance to a park opens at 9:00 A.M. At 9:00 A.M. there are 32 vehicles in the queue waiting to enter. Vehicles continue to arrive (from 9:00 A.M. onward) at a rate of X(t) = 4.2-0.05t (with X(t) in veh/min and t in minutes after 9:00 A.M.). The gate attendant processes vehicles at a rate of u(t) = 3 + 0.3t [with u(t) in veh/min and t in minutes after 9:00 A.M.]. Assuming D/D/1 queuing, what is the maximum queue length and total vehicle delay from 9:00 A.M. onward? A.20 mph nohor
SEAT WORK: EA4 Queving theory: D/D/1 Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 9:00 A.M., at which time vehicles begin to arrive at a rate of 470 veh/h. After 20 minutes, the arrival flow rate declines to 115 veh/h, and it continues at that level for the remainder of the day. If the time required to distribute the brochure is 14 seconds, and assuming D/D/1 queuing, describe the operational characteristics of the queue.