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An approach to a signalized intersection has a saturation flow rate of 1800 vehicles/hour. At the beginning of an effective red, there are 6 vehicles

An approach to a signalized intersection has a saturation flow rate of 1800 vehicles/hour. At the beginning of an effective red, there are 6 vehicles in the queue and vehicles arrive at a rate of 900 vehicles/hour. The signal has a 60-second cycle. The approach is allocated 35 seconds of green time and 4 seconds of yellow time. All-red time is 2 seconds. Assume D/D/1 queuing. Using typical values for start-up and clearance lost time, what is the total vehicle delay after one cycle? How much total green time (G) would have to be allocated to the approach to ensure that there are no vehicles in the queue at the end of the cycle? What would the total delay be after one cycle in this case?

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