problem $1$

A freeway with two lanes in one direction has a capacity of $2,100$ veh$/$h$/$ln

under normal operation. On a particular morning, one of these lanes is

blocked for $15$ minutes, beginning at $7$:$00$ AM$.$ The arrival pattern of

vehicles at this location is as follows:

$7$:$00$ AM $9$:$00$ AM $4,200$ veh$/$h

After $9$:$00$ AM $3,000$ veh$/$h

Conduct a deterministic queueing analysis to determine $($a$)$ the maximum

size and length of the excess accumulation $($queue in the book$),$ and $($b$)$ the

time that the queue will fully dissipate.