Vehicles arrived at the entrance of San Juanico Bridge in Tacloban at a rate of 180 vehicles per hour. Vehicles must stop at the tollgate where vehicles will have to pay a toll fee upon entering the bridge. It would take 15seconds per vehicle for the attendant to issue a trip ticket. Compute the traffic intensity at the bridge.
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- 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.On a given day, 425 vehicles per hour arrive at the tollbooth located at the end of an off-ramp of the South Superhighway. If the vehicles can be serviced by only a single channel at the service rate of 625 vehicles per hour, determine the average number of vehicles in the system.The number of vehicles that can enter the on-ramp of Subic-Clark Expressway is controlled by a metering system. If the vehicles can enter the expressway at a rate of 500 veh/hr, and the rate of arrival of the vehicles at the on-ramp is 400 veh/hr during the peak hour. Determine the expected number of units waiting to be served in the system.
- Off-ramp traffic must stop at a single tollbooth. The arrival rate at the tollbooth is 45 vehicles per hour. If the service rate is 60 vehicles per hour, determine the number of vehicles waiting excluding the vehicles being served.Consider a temporary single lane o-ramp/entrance to the expressway. While the entrance is open 24 hours, a fixed toll fee of P10 is charged from 7AM to 9AM as a form of congestion pricing. On the average, a vehicle is served for 7.5 seconds during which the teller receives the fee and gives back the charge, The flow rate is 600 vehicles/hour during the first 25 minutes after which, it is reduced to 360 vehicles/hour and remains constant for the next hours. Solve the total number of vehicles in the queue O 500 O 450 400 O 550Consider a temporary single lane o-ramp/entrance to the expressway. While the entrance is open 24 hours, a fixed toll fee of P10 is charged from 7AM to 9AM as a form of congestion pricing. On the average, a vehicle is served for 7.5 seconds during which the teller receives the fee and gives back the charge, The flow rate is 600 vehicles/hour during the first 25 minutes after which, it is reduced to 360 vehicles/hour and remains constant for the next hours. Solve the average delay per vehicle
- At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute. Estimate average waiting time of vehicles O 0.45 0.35 O 0.65 0.55The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 45 veh/hr, and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles 90% of the time? Assume the average length of a vehicle is 18 ft and that there is an average space of 10 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the tollbooth (that is, the average waiting time in the queue)?6. Vehicles begin to arrive at a toll booth at 8:50AM with an arrival rate of (t)=4.1+0.01t with t in minutes and 2(t) in vehicles per minute. The toll booth opens at 9:00AM and process vehicle at a rate of 12 veh/min throughout the day. When will the queue dissipate?
- 2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1 2 4 The travel times are as follows: 5 13 min 20 min 15 min 450 600 270 325 0 9 min 7 min 5 min 3 400 750 120 0 350 Determine the trips on the following: T1-3 and T2-5.2. Congestion starts at 6am in an expressway. Survey found out that an average of 600vph entered the expressway for the 1* 30minutes, reduced to 250vph and remain constant for the succeeding hours. The booth teller took approximately 10sec to render its service for every vehicle. a. Determine the time of dissipation b. Calculate the total number of vehicles entered for this duration Determine the queue and delay after 45mins from the start of rush hour d. Calculate the delay experienced by the 100th vehicle C.At 9 am, vehicles arrive at a toll booth facility at the rate of 480 vehicles/hour. Initially, the toll booth is closed from 9:00 am until 9:15 am. Then it opens from 9:15 with a service rate of 600 vehicles/hour. Assuming D/D/1 queuing, determine: (1) At what time queue disappears? (2) What is the total delay? (3) What is the maximum Queue length? (4) What is the queue length at 10:00 am? (5) What is maximum delay? (6) What is the delay for 160th vehicle?