PROBLEM 2. A lane group in an intersection approach with a pre-timed signal has a phase with display green of 48, with 4 seconds of yellow and all-red time and 2 seconds of lost time. The uniform delay in this signal phase is 12 seconds per vehicle and the ratio of volume to capacity is 0.8 with a satuation flow rate of 1,600 veh/h. Question: Determine the effective red and arrival rate of this lane group.

4) Traffic on the eastbound approach of a signalized intersection is traveling at 35 mi/hr, with a density of 46 veh/mi/In. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 1900 veh/h/In with a density of 52 veh/mi/In, and the jam density is 125 veh/mi/In, determine the following: (i) The length of the queue at the end of the red phase (ii) The maximum queue length (iii) The time it takes for the queue to dissipate after the end of the red indication.

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.