1(a) 3 One lane of a highway is carrying 540 vehicles per hour. Assuming that vehicle arrival rates at any point along the lane follow a Poisson distribution, determine the number hour travelling along that lane at of vehicles per headway of 4 seconds or More?
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- 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.QUESTION 5 What is the time between the departure of a vehicle and the arrival of the next vehicle, as measured at a given point on the roadway. O spacing O headway O gap O none of the aboveAn expressway off-ramp consisting of a single lane leads directly to a tollbooth. The rate of arrival of vehicles at the expressway can be considered to be Poisson with a 6-24 www.Civil08.com - The Download Monster Chapter 6 Fundamental Principles of Traffic Flow 263 mean of 50 veh/h, and the rate of service to vehicles can be assumed to be exponen- tially 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 85% of the time? Assume the average length of a vehicle is 20 ft and that there is an average space of 5 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the toll- booth (that is, the average waiting time in the queue)?
- QUESTION 4 What is the time between the arrival of a vehicle and the arrival of the next vehicle, as measured at a given point on the roadway. spacing headway gap O none of the aboveIn an intersection analysis traffic study, it is recorded that thepercentage of left-turn vehicles from east-bound approach is 20%and average hourly volume of east-bound approach is 2000 veh/hr.The cycle length for this intersection is 90 seconds. Estimate theprobability that not more than or equal to 4 left turn vehicles willcome in a cycle. Use Binomial Distribution.Question 4 Vehicles begin to arrive at a border gate at 06h50 with a deterministic arrival rate of λ (t) = 5.2 - 0.01t (λ is in vehicles per minute and t in minutes after 06h50). However, the gate opens at 07h00 and serves vehicles at a rate of μµ(t) =3.3 + 2.4t (with t in minutes after 07h00 and u in vehicles per minute). Once the service rate reaches 10 vehicles per minute, it stays at that level for the rest of the day. ● ● Illustrate the operational characteristics of the vehicle queue-delay on a (cumulative) vehicle-Time graph. When will the queue that forms be dissipated? What will be the maximum queue length? Determine the total 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.A volume of 320 veh/h. Assume that the vehicle arrivals are Poisson distributed. What is the probability that the headway between successive vehicles will be less than 10 seconds. choices: 62.70%, 58.90%, 56.30%, 60.00%Vehicles arrive according to a Poisson process (random arrival) to a parking lotwith mean arrival rate of 3 vehicles/min, and are processed (they pay parking fee) at a Poisson process(random Departure) rate of 240 vehicles/hour.(1) What type of queuing is this problem?D/D/1 M/D/1 M/M/1(2) What is the traffic intensity?(3) Determine (I) the average waiting time and (II) the average length of the que
- Subject : Transportation Engineering Give me right solution according to the question. Note: Don't copy from other websites solution. On a given day, 525 veh/h arrive at a tollbooth located at the end of an off-ramp of a rural expressway. If the vehicles can be serviced by only a single channel at the service rate of 605veh/h determine i. The percentage of time the operator of the tollbooth will be free ii. The average number of vehicles in the system iii. The average waiting time for the vehicles that waitThe 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.1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity? 2) An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60% of the headways between vehicles are 13 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.