Vehicles arrive at a signalized intersection at a uniform rate of 900 veh/hr. The saturation flow...

Vehicles arrive at a signalized intersection at a uniform rate of 900 veh/hr. The saturation flow rate for the intersection is 1200 veh/hr. However, a crash has reduced the saturation flow rate to only 300 veh/hr for a one-hour period. Assuming D/D/1 queuing, determine:

a. How long will it take for the resulting queue to clear? (6 points)

b. How much delay is experienced as compared to if the saturation flow rate had NOT been reduced? (6 points)

c. What is the average delay per vehicle during the period over which queuing occurs? (4 points)

d. What is the average queue length during the period over which queuing occurs? (4 points)

Solutions

Expert Solution

Ally Wells answered 5 months ago

Next > < Previous

Related Solutions

An approach to a signalized intersection has a saturation flow rate of 1800 veh/h. At the...

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 a rate of 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?

3-lane freeway reduces to 2 lanes total flow in section = 5000 veh/hr lane saturation flow...

3-lane freeway reduces to 2 lanes total flow in section = 5000 veh/hr lane saturation flow rate= 2400 veh/hr traffic density at A: 10veh/km/ln shockwabe speed Wab between A nad B = -10km/hr Find traffic density at B (immediately upstream of the lane reduction) and the stream flows at locations A (far upstream from lane reduction), B, and C (within the lane reduction)

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles...

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles during the peak period of traffic. If the design peak hour volume for the left turn movement is 150 vehicles per hour and the red time interval per signal cycle for the left turn movement is 60 seconds. a) Compute the average number of left turn vehicle arrivals per red interval of each signal cycle during the design peak hour. b) Assume that left...

Vehicles begin to arrive at a parking lot at 6:00am at a rate of 8 per...

Vehicles begin to arrive at a parking lot at 6:00am at a rate of 8 per minute. Due to an accident on the access highway, no vehicles arrive from 6:20 to 6:30am. From 6:30am on, vehicles arrive at the rate of two per minute. The parking lot attendant processes incoming vehicles (collects parking fees) at the rate of four per minute throughout the day. Assuming D/D/1 queuing, draw a queuing (arrival-departure) diagram to present the events described and determine total...

3. Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of...

3. Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the demand reduces to 1000 veh/hour at 7:30 AM and continues at that rate. The ticketing booth to enter the parking lot can only serve the vehicles at 1000 veh/hour until 7:15 AM, after which the service rate increases to 2000 veh/hour. Assuming D/D/1 queuing, draw a queuing diagram for this situation. Find: a) the time at which the queue clears,...

1. On one approach of an intersection with fixed time traffic signal, vehicles arrival rate is...

1. On one approach of an intersection with fixed time traffic signal, vehicles arrival rate is 600 vehicles per hour. The effective green time for this approach is 30 seconds, the saturation flow of this approach is 1800 vehicles per hour and the cycle time of the intersection is 80 seconds. a. Evaluate the performance of the signal design i.e. will all vehicles clear during the green time? b. Recommend the changes to the green time for this approach to...

Vehicles arrive at a toll both starting at 7:00 A.M. at a rate of λ(t) =...

Vehicles arrive at a toll both starting at 7:00 A.M. at a rate of λ(t) = 5.1 – 0.05t [with λ(t) in veh/min and t in minutes after 7:00 A.M.]. The first operator processes cars at a rate of 3 veh/minute 7:00 A.M. until 7:15 A.M when the person leaves because of illness. From 7:15 A.M to 7:25 A.M, no one is at the toll booth but a new operator arrives at 7:25 A.M and processes at a rate of...

At a facility’s loading dock, delivery vehicles arrive randomly, starting at 8:00 AM, at a rate...

At a facility’s loading dock, delivery vehicles arrive randomly, starting at 8:00 AM, at a rate of 2.0 per hour. If the dock is occupied by another vehicle, the driver must park in a waiting area until the dock is clear; this occurs with probability 0.20, independent of the time of day or other variables. Identify the family and parameter(s) of each of the following random variables (for instance, “Bernoulli(0.5)”). If it is not one of our “famous” families indicate...

Determine the saturation flow rate for a left-turn lane that operates in a protected/permitted mode, under...

Determine the saturation flow rate for a left-turn lane that operates in a protected/permitted mode, under the following conditions: Opposing demand flow rate = 1100 veh/h Lane width = 11 ft Heavy vehicles = 3% of the traffic stream Approach grade = –2% No on-street parking No bus stops Bicycle and pedestrian traffic conflicting with this lane group is negligible Intersection is not in a central business district.

In a pharmaceutical application distilled water with a flow rate of 34560 kg/hr is to cool...

In a pharmaceutical application distilled water with a flow rate of 34560 kg/hr is to cool ethyl alcohol in a parallel flow heat exchanger. The alcohol flowing at 31320 kg/hr enters the exchanger at 75oC and is cooled to 45oC. Assuming that the water flows through the tubes and enters the exchanger at 15oC, determine, for an overall heat transfer coefficient of 0.5kW/m2K the dissipation rate, together with the required heat transfer area. The specific heat capacity of both the...

Subjects