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

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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?
Compute the average approach delay per cycle, given the saturation flow rate of 2400 veh/h and is allocated 24 seconds of effective green in an 80-second signal cycle. Flow at the approach is 500 veh/h. Assume the traffic flow accounts for the peak 15-min period and that there is no initial queue at the start of the analysis period.
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.
A toll booth on a temple is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:45 AM at a uniform deterministic rate of six per minute until 8:15 AM and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine the (a) time of queue dissipation in minutes (b) total number of vehicles in queue and (c) total vehicle delay
Q2: What are the assumptions for using the equations in the queue test? Q3: A signalized intersection, of 105 sec cycle length, the east approach has an effective green time of 20 sec, and the percentage of vehicles arriving during green time is 28%. The west approach has 16 sec green time and 32% of vehicles arriving during the green time. Determine which approach is best coordinated with the upstream signal.
An observer counts 240 veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a 30 seconds time interval is
Recent computations at an approach to a pretimed-signalized intersection indicate that the volume-to-capacity ratio is 0.8, the saturation flow rate is 1600 veh/h, and the effective green time is 50 seconds. If the uniform delay is 11.25 seconds per vehicle, determine the arrival flow rate (in veh/h) and the cycle length.
F] Vehicles travel at constant speeds on a one-lane one-way street between sections X and Y. An observer located at point X observes the four vehicles passing point X during a period of 10 seconds. The speeds of the vehicles are measured as 45, 45, 40, and 30mph, respectively. Calculate the average flow, density, time mean speed, and space mean speed.
Through the Walla Walla Road to the entrance of the E-1 parking lot at the University of Washington, vehicles begin to arrive from 7:40 A.M. at a uniform deterministic rate of 480 vph until 8:20 A.M. and from then on at 120 vph. It takes 10 seconds for a vehicle to go through the paying process at the gate. If the parking lot is open at 8:00 A.M., determine (a) when the queue will dissipate, (b) the total delay, (c) the average delay, (d) the maximum queue length (in vehicles), and (e) the longest vehicle delay under FIFO. Show your results graphically. [Hint: D/D/1 analysis]
(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.
An expressway consists of four lanes, where the capacity per lane is 2500 vehicles. In normal days, 6500 vehicles pass. However, there is an emergency road repair conducted in which two lanes will be closed. The repair lasted 150 minutes. Calculate the maximum queue length, total length, and number of vehicles impacted by the event, and average individual delay.