If theflow rate of traffic
qas a function of density
kis given by
q(k)=vmaxk(kmax−k),
what is the maximum flow rate possible (in cars/hr)?
Assume that
vmaxis
100km/hrand
kmaxis
200cars/km.
Note:
100km/hr=60mi/hr, which is a typical speed limit for a US highway, and midsize cars are approximately 5 m long, corresponding to
200cars/km在交通堵塞traffic.