Question

At the signalized intersection, the vehicles began to arrive
from 7:00 am (beginning of the traffic study) at the rate of 6
veh/min for 20 minutes, and declined to 1 veh/min. The traffic
signal is assumed to have an effective red and green only starting
from red at 7:00 am. The length of the effective green is 4 minutes
and effective red time is 3 minutes per cycle. The discharge rate
of the vehicles on effective green is 6 veh/minute. Determine the
average delay time, longest queue size (veh) and longest delay
time. (Assume D/D/1)

Answer #1

An approach to a signalized intersection has a saturation flow
rate of 1800 veh/h. At the beginning of an effective red, there are
6 vehicles in queue and vehicles arrive at 900 veh/h. The signal
has a 60-second cycle with 25 seconds of effective red. What is the
total vehicle delay after one cycle? What is the maximum length of
queuing within this cycle? (assumeD/D/1 queuing)

Vehicles arrive in a single approach for two consecutive cycles
at a signalized intersection. The signal has a 60 second cycle time
which consists of a 30 second green interval and a 30 second red
interval (ignore yellow interval). The arrival rates are assumed to
be constant in both cycles. The arrival rate was 1,080
vehicles/hour in the first cycle and it decreased to 720
vehicles/hour in the second cycle. Assume that all vehicles in the
queue formed on red...

Traffic on the eastbound approach of a signalized intersection
is traveling at 48 km/h, with a density of 51 veh/km/ln. The
duration of the red signal indication for this approach is 38 sec.
If the jam density is 131 veh/km/ln, determine the length (in
meters) of the queue at the end of the red phase to one decimal
place accuracy.

Vehicles arrive at a freeway on-ramp meter at a constant rate of
six per minute starting at 6.00 A.M. Service begins at 6.00 AM such
that µ(t) = 2 + 0.4, where µ(t) is in veh/min and t is in minutes
after 6:00 A.M. What is the total delay and the maximum queue
length in vehicles?

Vehicles arrive at a freeway on-ramp meter at a constant rate of
six per minute starting at 6.00 A.M. Service begins at 6.00 AM such
that µ(t) = 2 + 0.4, where µ(t) is in veh/min and t is in minutes
after 6:00 A.M. What is the total delay and the maximum queue
length in vehicles?

Vehicles arrive at a toll booth starting at 6 AM at the rate of
λ(t) = 5 - 0.05t with λ(t) in veh/min and t in minutes after 6 AM.
The first operator processes cars at a rate of 3.5 veh/min from 6
AM until 6:15 AM when the person leaves because of illness. From
6:15 AM to 6:30 AM, no one is at the toll booth but a new operator
arrives at 6:30 AM and processes at the rate...

7.34 At one signalized intersection approach, 20
vehicles, on average, arrive during the 30-second
effective green time. During the rest of the cycle, 45
vehicles, on average, arrive at the intersection from this
approach. The cycle length is 90 seconds. What is the
proportion of vehicles arriving on green for this
approach?

An isolated pretimed signalized intersection has an approach
with a traffic flow rate of 750 veh/h and a saturation flow rate of
3200 veh/h. This approach is allocated 32 seconds of effective
green time. The cycle length is 100 seconds. Determine the average
approach delay (using Eq. 7.27).
A) 34.8 s
B) 30.2 s (incorrect)
C) 35.0 s
D) 4.6 s

Trucks begin to arrive at a weigh station (with a single scale)
at 6:00 AM at a rate of λ(t) = 4.0 – 0.25t (t in minutes and λ(t)
in vehicles per minute). The time to weigh each truck is constant
30 seconds. Draw the queuing diagram and determine the
following.
a) The time when the queue that formed will be cleared
b) Maximum queue
c) The average delay per truck

A traffic signal has a 90-second cycle length. For the travel
direction of interest, the red and green times are 30 seconds and
60 seconds, respectively, the arrival rate is constant at 30
veh/min and the saturation flow (i.e., the queue discharge rate) is
1 veh/sec.Calculate the total delay [veh.s] for the travel
direction of interest. What is the maximum queue size [veh]?

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