Question

Consider a freeway segment with capacity of 8000 veh/hr, free-flow speed of 70 mph, and jam density of 200 veh/mi. The demand of this segment is constant at 7800 vel/hr. During the first hour of the hour morning peak, merging traffic entering from the on-ramp has priority thus it restricts the number vehicles that can pass through to 7500 veh/hr. This restriction ends after the first hour of the morning peak. a) Calculate the maximum excess accumulation b) Calculate the duration of queue c) Calculate the maximum time spent in queue d) Calculate the total and average delay c) Calculate the length of queue

Answer 1

Answer, Free Way Segment Capacity = 8000 veh/hr free flow = v= 70 mile/hr = 112 km/h ( Iméle - 2.6 km) Jan da den ly = k = 2co vehmile = 125 veh/km Demand of Sagment = 7200 vehit has Ir morning peak time, vehicle sestrict, entering from kamps Capacity = 7500 veh/ha ( Maximum excess accumulation, 28 - Vok 112 x 125 4 = 4 = = 3500 veh/hz

(6) Auration of queue, 5 x 60 = 5.14 minute queve = avg.no of person in the queue Arrival rate (7800-7500) x6o 3500 300 3500 Maximum time spent in quepe = the (d) Total average delay, L del =7H gas. 4640. yox[X60 x 200 7800 - 7500 = 3/5 60 = 40 minute ostaju 3 OD KORS