Suppose that the two approaches to a freeway merge, labelled 1and 2, have individual capacities of 2000 veh/h and 6000 veh/h,respectively. Suppose that the two approaches can send a combinedmaximum flow 6000 veh/h through the merge without queues forming.Suppose as well that if both approaches are queued, vehicles enterthe merge in a 1:3 ratio; i.e., three vehicles from approach 2 foreach vehicle from approach 1. At t = 0, there are no queues inneither of the approaches. From t = 0 to t =1h, demand on approach1 is 1500 veh/h and demand on approach 2 is 5500 veh/h. After t =1h, demand on Link 1 becomes 500 veh/h, and demand on Link 2becomes 4500 veh/h. Sketch the input output diagram for Links 1 and2 and calculate the duration where queue persists on these links.[5 marks]
