Problem 1 · Traffic capacity and flow theory
On a road that follows the Greenshields model, the free-flow speed is 55 mph. At a density of 40 veh/mi, the observed flow is 1,800 veh/h. The jam density is most nearly:
- A.48.9 veh/mi
- B.80.0 veh/mi
- C.131 veh/mi
- D.220 veh/mi
Show the answer and solution
Answer: D: 220 veh/mi
v = q/k = 1,800/40 = 45 mph. From v = v_f(1 − k/k_j): 45 = 55(1 − 40/k_j), so 40/k_j = 0.1818 and k_j = 220 veh/mi. The observed state is not at capacity, so shortcuts that assume capacity do not apply.
Traffic capacity and flow theory · Reference Handbook: Civil Engineering
