D. When an incident occurs that causes two lanes to be closed, a three-lane highway in one direction is carrying a total volume of 4700 veh/h. Calculate the maximum queue length, total delay, number of vehicles impacted by the event and average individual delays if the highway's capacity is 2550 veh/h/In. It takes 120 minutes to clear the obstacle.
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- The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?Two lanes of the four lanes on a highway section have to be closed to undertake an emergency bridge repair that is expected to take 120minutes hr. The highway's mean free speed is 90km/h, and the jam density is 140 veh/km/ln. If it is estimated that the demand flow on the highway during the emergency repairs is 80% of the capacity (max flow), using the deterministic approach, determine: 1. The maximum queue length that will be formed.2. The number of vehicles that will be affected by the incident.3. The average individual delay.When an incident occurs that causes two lanes to be closed, a three-lane highway in one direction is carrying a total volume of 4700 veh/h. Calculate the maximum queue length, total delay, number of vehicle impacted by the event and average individual delays if the highways capacity is 2550 veh/h/ln. It takes 120 minutes to clear the obstacle.
- A freeway with two northbound lanes is shut down because of an accident. At the time of theaccident, the traffic flow rate is 1200 vehicles per hour per lane and the flow remains at this level.The capacity of the freeway is 2200 vehicles per hour per lane when not impacted by an accident.The freeway is shut down completely for 20 minutes after the accident and then one lane is openfor 20 minutes and finally both lanes are opened (40 minutes after the accident). What is theaverage delay per vehicle resulting from the accident (assuming D/D/1 queuing)?When an incident occurs causes two lanes to be closed, a three-la e highway in one direction is carrying a total volume of 4700 veh/h. Calculate the maximum queue length, total delay, number of vehicles impacted by the event and average individual delays if the highways capacity is 2550 veh/h/ln. It takes 120 minutes to clear the obstacle. 3 decimal places. AsapA. There is a traffic accident happened on highway at 6:00 AM the flow rate on that time was 50 veh per min while the normal capacity of highway is 60 veh per min but since there is an accident, it reduced to 22 veh per min, the traffic was cleared after 25 minutes. Determine the length of the queue before the removal of blockage. Also calculate the time that vehicles waited a long line before the removal of blockage and when was the queue cleared?
- An expressway consists of four lanes, where the capacity per lane is 2500 vehicles. In normal days, 6500 vehicles pass. However, there is an emergency road repair conducted in which two lanes will be closed. The repair lasted 150 minutes. Calculate the maximum queue length, total length, and number of vehicles impacted by the event, and average individual delay.vehicles arrive at roadway section at a rate of 300 veh/h according to a Poisson distribution. During a 40 minute interval, how many of the headways will be greater than 4 seconds on average?The 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)?
- A toll booth on a temple is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:45 AM at a uniform deterministic rate of six per minute until 8:15 AM and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine the (a) time of queue dissipation in minutes (b) total number of vehicles in queue and (c) total vehicle delay1. A toll booth on a turnpike is open from 8:00 a.m. to 12 midnights. Vehicles start arriving at 7:45 a.m. at a uniform deterministic rate of six per minute until 8:15 a.m. and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles), and the longest vehicle delay.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.