Consider an isolated signalised intersection with two one$-$way approaches. We assume all vehicles are moving through, and there are no turning movements. The saturation flow is $3600$ veh$/$hr for both approaches. The lost time for each approach is $5$s$.$

$1\mathrm{.}1.$ Suppose the intersection has a fixed$-$time signal controller with two stages. The arrival rates from the two

approaches are $600$ veh$/$hr$.$

a$)$ Calculate the minimum cycle length.

b$)$ Calculate Webster$$s optimal cycle length and the corresponding effective green times for each approach.

c$)$ Calculate the average delay using the queuing diagram with the parameters you determined in b$).$