approach signal is divided into r = 74 seconds of effective red, followed by g = 16 seco ve green. At t = 0 (start of the effective red), there is a queue of 3 vehicles. Le sarrive at a constant rate of λ = 200 h. During the 16 second effective gree n vehicles cross the stop line at one vehicle every 2 seconds. hr Sketch the graph of cumulative arrivals and departures from t = 0-90 se Shade the area that represents the total delay. At t= 90 seconds, how many vehicles arrived? How many vehicles departed?

The total lost time of a signal is 13 seconds. If the sum of the critical flow ratios, Yc, is 0.834, what is the optimal cycle time (rounded to the nearest second)?  Group of answer choices 128 sec 108 sec 148 sec 147 sec

An approach at a signalized intersection with a 60-second cycle gets 30 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 4 vehicles in the queue and the saturation flow is 876 veh/h. The arrival rate is given by v(t) = 0.20 - 0.002t [with v(t) in veh/s and t in seconds after the beginning of the effective red]. What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 4 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)

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.