Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.
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Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.
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- The average queue length at the intersection of the two roads with a stop sign is 4 vehicles. If the arrival rate of vehicles at the stop sign is 300 veh/hr, determine the service rate of the road in veh/hr. Assume both arrival and departure rates are exponentially distributed.An origin-destination pair is connected by a route with a performance function tj = 8 + X1, and another with a function t2 = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle- minutes), and route flows.An origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and another with a function t₂ = 1 + 2x₂ (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle-minutes), and route flows.
- 4. Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 + 2x₂, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user- equilibrium traffic flows on each route. [Ans: x₂ = 0.68]2. There are two routes in use between Zones 1 and 2. The volume-delay functions for the two routes are as follows: V1 V2 t1 = 22 + 250 t2 = 15 + 150 where t = travel time(minutes) V = traffic volume If the total traffic volume is 6,950 vehicles per hour between the two zones, what are the traffic volumes and travel times on each of the two routes at a user-equilibrium (UE) condition?Vehicles arrive at the entrance of the new extension of NLEX. There is a single toll gate at which all vehicles must stop where a toll attendant distribute a trip ticket. The toll opens at 6:00AM at which vehicles begin to arrive at the rate of 8 vehicles per minute. After 20 minutes, the arrival flow rate declines to 2 vehicles per minute and it continues at that level for the remainder of the day. If the time required to distribute the trip ticket is 15 seconds, determine the time the queue dissipates.
- There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Length of Queue at 8:1OAM. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Longest Vehicle Queue. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the time that the queue will dissipate. Answer must be in this format: *:**AM, minute time must be rounded off to the nearest whole number (i.e. 8:50AM)
- Passenger cars arrive at the stop sign at an average rate of 280 per hour. Average departure time at the stop sign is 12 sec. If both arrivals and departure are exponentially distributed, what would be the average waiting time per vehicle in minutes?Use 2 decimal places in your final 4. Route 1 has a free flow travel time of 10 minutes and the average travel time on this route increases by 3 minutes for every vehicle increase and Route 2 has a free flow travel time of 15 minutes and its average travel time increases by 2 minutes for every vehicle increase. Compare the results for UE and SO conditions with a flow rate is 12 veh/hr, determine the ff: Travel times on each route Traffic volumes on each route Total system travel time ■Define the following terms and cite examples of how they are used: 1. Average daily traffic (ADT)