In this problem, assume a  propagation speed of 45 km/hr and that each toll booth takes 6 seconds to service a car.  Suppose the caravan of 10 cars begins immediately in front of the first toll booth,  travels 20 km to a second toll booth, then another 40 km to a third toll booth, and finally stops  immediately after the third tool booth. Thus, they travel a total of 60 km. What is the total endto-end delay?

Q: 1. A toll booth on a turnpike is open from 8:00 a.m. to 12 midnights. Vehicles start arriving at…

A: Queue will Dissipate at t = 52.5 min Total delay is 3037.5 vehicle-min Maximum queue length is 90…

Q: Vehicles begin to arrive at a toll booth at 7:50 a.m. with an arrival rate of λ (t) = 5.2 – 0.01 t…

A: Arrival rate = ∫0tλ (t) dt= ∫0t5.2 – 0.01 tdt                                            = 5.2t –…

Q: 11. A police officer is checking the license and registration of the vehicles crossing a control…

A: Given:- The time taken by the officer to check vehicle = 2 min per veh After 45 min, second officer…

Q: Vehicles are known to arrive according to a poisson process at a specific spot on a highway.…

A: Given, time (t) = 20 sec  Number of vehicles arriving are following Poisson distribution

Q: Passenger car arrive at the stop sign at an average rate of 280 per hour. Average waiting time at…

A:

Q: Vehicles arrive to a bridge at a rate of 24 vehicles per minute. The capacity of the bridge is…

A: Given: The rate of arrival of the vehicle is 24 vehicles per minute. The capacity of the bridge is…

Q: what is the departure rate

A:

Q: 5.12 A toll booth on a turnpike is open from 8:00 A.M. to 12 midnight. Vehicles start arriving at…

A: Vehicle start approaching at 7:45 am Processing time start at 8:00am

Q: Vehicles arrive at a toll bridge at a rate of 420 veh/h (the time between arrivals is exponentially…

A: Given: Arrival rate = 420 veh/h ⇒λ=42060veh/min⇒λ=7 veh/min Mean rate = 12 seconds per vehicle…

Q: At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee…

A:

Q: Vehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate…

A:

Q: A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of…

A: Given data:- The recorded volume were 243, 276, 318 and 490.   Use formula:- PHF=V60490×Vnn ----(1)

Q: QUESTION 12 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive at the…

A:

Q: congestion on the road further downstream of the railway grade crossing. QUESTION 5: Consider trip…

A:

Q: The average queue length at the intersection of the two roads with a stop signs is 4 vehicles. If…

A:

Q: At 9 am, vehicles arrive at a toll booth facility at the rate of 480 vehicles/hour. Initially, the…

A: QUEUING THEORY: The theory is included in study of occasions that contain line and queues . They are…

Q: Suppose that a crash occurs on a two lane highway, blocking one lane for 45 minutes and dropping the…

A:

Q: The gate entrance to a park opens at 8:00 AM and there are 18 vehicles in the queue waiting to…

A: Time at which the gate entrance opens = 8: 00 AMNumber of vehicles waiting in the queue =18Rate at…

Q: each direction. In one arriers at this crossing are lowered to in to pass. What is the probability…

A: Solution-    Givenv = 300Since the likelihood is based on the number of vehicles, we may use the…

Q: On a highway, we know that on average 260 cars arrive at a toll booth in one hour. If we admit that…

A:

Q: Vehicles arriving at random at a one-lane toll booth at an average rate of five vehicles/minute.…

A: Given:- Average rate of vehicles = 5 vehicles/minute To find:- Probability of not observing any…

Q: A student records the number of vehicles that pass through a toll road lane, as shown in the…

A: find 15min flow rates15min flow=q1+q2+q33ex:at 8:35-8:5015min flow=104+109+1163=109.67vehhr'…

Q: Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of…

A: Steps for determining smallest no. of booths: First calculate no. of vehicle arriving on booth.…

Q: Vehicles arrive at a single toll booth beginning at 8:00 A.M. They arrive and depart according to a…

A: The given data are: The average arrival rate, Va=8 veh/min The average departure rate, Vd=10…

Q: Vehicles arrive to a bridge at a rate of 23 vehicles per minute. The capacity of the bridge is…

A:

Q: 11. A police officer is checking the license and registration of the vehicles crossing a control…

A: Given:- The time taken by the officer to check vehicle = 2 min per veh After 45 min, second officer…

Q: A toll bridge carries 5000 veh/day. the current tol is 50 cents. When the toll is increased by P0.…

A: Given:- The total capacity of the bridge = 5000 veh/day The current tole = 50 cents The increase in…

Q: student records the number of vehicles that pass through a toll road lane, as shown in the following…

A:

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.