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The basic operation of vehicular movement through a signalized int Figure 3- of

ID: 1712566 • Letter: T

Question

The basic operation of vehicular movement through a signalized int Figure 3- of vehicles on the vertical axis. During the time while the movement is receiving indication, vehicles arrive and form a queue, and there is no flow. Upon receiving a green ersection is presented in 2 below. The signal display is presented on the horizontal axis, the instantaneous flow a red indication, it takes a few seconds for the driver of the first vehicle to recognize that turned green and to get the vehicle in motion. The next few vehicles also take some time to accelerate. This is defined as the start-up lost time or start-up delay and is commonly assumed to be approximately 2 seconds. After approximately the fourth vehicle in the queu the signal has e, the flow rate to stabilize at the maximum flow rate that the conditions will allow, known as the saturation flow rate. This is generally sustained until the last vehicle in the queue departs the intersection. Upon termination of the green indication, some vehicles the intersection during the yellow change interval; this is known as yellow extension. The amount of green time, that is, the duration of time between end of the yellow extension, is referred to as the effective green time for the mo unused portion of the yellow change interval and red clearance interval is called cleara time (typically 1 second). continue to pass through usable the end of the start-up delay and the vement. The nce lost Figure 3-2 Typical flow rates at a signalized movement Start-up lost time Operation at saturation flow rate Saturation flow rate Clearance lost time Time Effective green time

Explanation / Answer

A. As the explanation given above regarding the Start up lost time, the Formula to Calculate the Average Stopped Delay per Vehicle is given by,

d= 0.38C(1-g/C)2 / [1-(g/C)X] + 173X2[(X-1)+[(X-1)2+ 16(X-1)1/2]

Where:

C= Cycle Length (sec) = 60sec

g/C= Green Ratio for the Lane = (35/60 = 0.583)

g= Effective green time for the lane (sec) = 35sec

X= V/c for the Lane group = (1800/900)=2

V= Design flow rate for the lane (Veh/hr) = 1800 veh/hr

c= Capacity of the lane group (Veh/hr) = 900veh/hr

By substituting the values in the above Eqn,

We get, d= 0.0153sec.

Therfore, Total Vehicle delay after ! cycle= (0.0153X60) = 0.9Sec

B. The green signal time is 35 seconds.(given). As explained above, the Start up delay is approximately 2 seconds, There are 6 vehicles standing in the queue and Hence the total time delay for 6 vehicles = (6X2)= 12sec.

Therefore the Total green time Signal would be = 35+12= 47sec.

The Total delay after 1 cycle would be = (0.0153X47) = 0.7sec.

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