Vehicles begin to arrive at a freeway off-ramp meter with an arrival rate of2(t)=50+3.661 [with t in minutes and λ (1) in vehicles per minute] at 7:50 A.M.,after 25 minutes, the arrival rate is decreased to 10 vehicles per minutes and stays atthat level until all the queues are dissipated. The meter opens at 8:00 A.M. and servesvehicles at a rate of 60 per minute throughout the day. Assuming D/D/1 queuing.answer the following:a) Plot the queue diagram.b) When will the queue dissipate?c) What is the total vehicle delay on the freeway?

PART A. Queue Diagram1. Arrival Rate Function:The arrival rate λ(t) is time-dependent:From 7:50 A.M.…

Answered: Vehicles begin to arrive at a freeway…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Transpo Engineering
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 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)
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).
9- Vehicles arrive at a recreational park booth at a uniform deterministic rate of 4veh/min. If uniform deterministic processing of vehicles (collecting of fees) begins 30 minutes after the first arrival and the total delay is 3600 veh-min, how long after the arrival of the first vehicle will it take for the queue to be cleared?
Transportation Engineering
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.
2. Congestion starts at 6am in an expressway. Survey found out that an average of 600vph entered the expressway for the 1* 30minutes, reduced to 250vph and remain constant for the succeeding hours. The booth teller took approximately 10sec to render its service for every vehicle. a. Determine the time of dissipation b. Calculate the total number of vehicles entered for this duration Determine the queue and delay after 45mins from the start of rush hour d. Calculate the delay experienced by the 100th vehicle C.
The number of vehicles that can enter the on-ramp of Subic-Clark Expressway is controlled by a metering system. If the vehicles can enter the expressway at a rate of 500 veh/hr, and the rate of arrival of the vehicles at the on-ramp is 400 veh/hr during the peak hour. Determine the expected number of units waiting to be served in the system.
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.)
Vehicles arrive at the entrance of the new extension of NLEX. There is a single toll gate at which all vehicles must stop where a toll attendant distribute a trip ticket. The toll opens at 6:00AM at which vehicles begin to arrive at the rate of 8 vehicles per minute. After 20 minutes, the arrival flow rate declines to 2 vehicles per minute and it continues at that level for the remainder of the day. If the time required to distribute the trip ticket is 15 seconds, determine the time the queue dissipates.
At exactly 8:05AM, vehicles start to enter a single toll gate at rate of 7veh/min following deterministic distribution. Due to teller being late, the toll booth opened at 8:20AM having a service rate of 8.5veh/min. Determine the time of queue dissipation, total vehicles at queue dissipation, longest vehicle delay, longest vehicle queue, total vehicle delay, and average delay per vehicle.

SEE MORE QUESTIONS

Recommended textbooks for you

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

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

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

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

Sustainable Energy

Civil Engineering

ISBN:

9781337551663

Author:

DUNLAP, Richard A.

Publisher:

Cengage,

Traffic and Highway Engineering

Civil Engineering

ISBN:

9781305156241

Author:

Garber, Nicholas J.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS