The uniform arrival and uniform service rates observed on an approach road to asignalized intersection are 20 and 50 vehicles/minute, respectively. For this signal, thered time is 30 s, the effective green time is 30 s, and the cycle length is 60 s. Assumingthat initially there are no vehicles in the queue, the average delay per vehicle using theapproach road during a cycle length (in s, round off to 2 decimal places) is

Answered: Image /qna-images/answer/6dc157d3-a2a3-4c1a-92c0-dd096a6661ed.jpg

Answered: The uniform arrival and uniform service…

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

An approach to a pre-timed signal has 40 sec of effective green in a 75-second cycle.The approach volume is 700 veh/h and the saturation flow rate is 1600 veh/h.Calculate the time to queue clearance after the start of the effective green, themaximum number of vehicles in the queue, the total vehicle delay per cycle andthe average delay per vehicle assuming D/D/1 queuing.
7.24 Vehicles arrive at an approach to a pretimed signalized intersection. The arrival rate over the cycle is given by the function v(t) = 0.22 + 0.012t [v(t) is in veh/s and t is in seconds]. There are no vehicles in the queue when the cycle (effective red) begins. The cycle length is 60 seconds and the saturation flow rate is 3600 veh/h. Determine the effective green and red times that will allow the queue to clear exactly at the end of the cycle (the end of the effective green), and determine the total vehicle delay for this approach over the cycle (assuming D/D/1 queuing).
An observer notes that an approach to a pretimed signal, the time it will take the queue to clear after the start of the effective green (assuming that approach capacity exceeds arrivals and D/D/1 queuing applies) is 60 s. If the saturation flow rate is 1440 veh/h and the effective red time is 40 seconds, what is the maximum number of vehicles in a queue in a given cycle?
Question 4 Vehicles begin to arrive at a border gate at 06h50 with a deterministic arrival rate of λ (t) = 5.2 - 0.01t (λ is in vehicles per minute and t in minutes after 06h50). However, the gate opens at 07h00 and serves vehicles at a rate of μµ(t) =3.3 + 2.4t (with t in minutes after 07h00 and u in vehicles per minute). Once the service rate reaches 10 vehicles per minute, it stays at that level for the rest of the day. ● ● Illustrate the operational characteristics of the vehicle queue-delay on a (cumulative) vehicle-Time graph. When will the queue that forms be dissipated? What will be the maximum queue length? Determine the total delay.
Please estimate the minimum cycle length and the green intervals for the following signalized intersection (Figure 7). Please note that the minimum cycle length will be influenced by the design of the phasing diagram. The arrival flow, in pcu/h, for each direction, is illustrated in Figure 7. Please assume any missing values. Lost time following each phase = 2 sec, Amber = 3 sec, Red all = 1 sec, saturation flow 1400 pcu/h. 196, 367, 170 JIL! 400, 140, 215 716 120, 417, 232 400, 433, 184 Figure 7. Intersection Layout and Traffic Flow Data
Determine the traffic flow if 100 cars pass a known location during 10 s.
Vehicles arrive at an intersection approach at 550 veh/h at the beginning of an effective red and 15 vehicles are left in the queue from the previous cycle (end of the effective green). Due to peak hour congestion, the arrival rate increases 50 veh/h/min. Therefore after 1 minute, the arrival rate will be 600 veh/h, after 2 minutes it is 650 veh/h. The saturation flow rate of the approach is 1800 veh/h, the cycle length is 65 seconds, and the effective green time is 30 seconds. Determine the total vehicle delay until complete queue clearance. (Assume D/D/1 queuing).
(b) An approach to a pretimed signal has 25 seconds of effective green in a 60-second cycle. The approach volume is 500 vph and the saturation flow rate is 1400 vph. Calculate the average vehicle delay assuming D/D/1 queuing.

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