Queuing:A ferryboat queuing lane holds 30 vehicles. Vehicles are processed (tolls collected) at a constant uniform departure rate of 4 veh/min. Processing begins when the queuing lane reaches a capacity of 30 vehicles. The vehicle queue is cleared 30 minutes after vehicles begin to arrive.Find the constant uniform Arrival Rate in veh/min , and find the A(t). Hint: Find the point of queue dissipation.min(Queuing diagram attached) The image is a graph illustrating the concept of queue formation and dissipation over time. The x-axis represents time in minutes (t), while the y-axis represents the number of vehicles (# veh).The graph shows two main lines:1. **Queue Formation**: - The line starts at the origin (0,0) and increases linearly to reach a point at 30 minutes on the x-axis and 30 vehicles on the y-axis. - This line segment represents the queue formation phase, where the number of vehicles is increasing.2. **Queue Dissipation**: - After the point (30 min, 30 veh), the line descends back to the x-axis. It passes through a point labeled as “Point of queue dissipation,” where D(t) = 4(t-x). - This segment indicates the dissipation phase, where the number of vehicles decreases.Additionally, there's a label at an unknown point (x, 30 veh) on the graph with a formula A(t) = ?. This indicates that the arrival rate at time t is unknown at this point.The graph is a visual representation used to analyze traffic flow and the behavior of vehicle queues over time, highlighting key points such as maximum accumulation (30 vehicles) and the time at which the queue is completely dissipated.

Name: Queuing:A ferryboat queuing lane holds 30 vehicles. Vehicles are proce
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Queuing:A ferryboat queuing lane holds 30 vehicles. Vehicles are processed (tolls collected) at a constant uniform departure rate of 4 veh/min. Processing begins when the queuing lane reaches a capacity of 30 vehicles. The vehicle queue is cleared 30