Chapter 5, Problem 17P

At the end of a sporting event, vehicles begin leaving a parking lot at $\lambda \left(t\right)=12-0.25t$ and vehicles are processed at $\mu \left(t\right)=2.5+0.5t[t$ (t is in minutes and A(t) and are in vehicles per minute). Assuming D/D/1 queuing, determine the total vehicle delay, longest queue, and the wait time of the 50th vehicle to arrive assuming first-in-first-out and D/D/1queuing.