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?

Q: 2. Congestion starts at 6am in an expressway. Survey found out that an average of 600vph entered the…

A: a). Time of dissipation The time of dissipation is the time when the congestion is completely…

Q: Cars have a long queue at a stop sign. If the total time delay queueing is one min., compute the…

A:

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A:

Q: 1. Estimate the queue dissipation time, maximum queue length, and total delay, given: 3:00 3:30 PM…

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: Traffic volume data has been collected for 10 min time intervals as shown below, Find the total…

A: Please find the attached images for the solution! Thank You!

Q: a.) Determine the maximum flow rate (veh/hr) that accounts for the peak 5-min interval within the…

A:

Q: 2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1…

A:

Q: A toll booth on a turnpike is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:50 AM…

A: Given:- A toll booth on a turnpike is open from 8:00 AM to 12 midnight The vehicles start arriving…

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A: Arrival rate, λ1=480 vehhr=48060=8 vehminArrival rate, λ2=120 vehhr=12060=2 vehhrService rate, μ1=15…

Q: Note: Read the question carefully and give me BOTH right solutions with clear calculations.…

A: Given data:  Arrival rate λ(t) 7 AM to 8 AM = 5 vehicles per minute Service rate (7:15 AM to 7:45…

Q: what is the departure rate

A:

Q: This is the product of the arrival rate and average waiting time in the queue. a. Average waiting…

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: Off-ramp traffic must stop at a single tollbooth. The arrival rate at the tollbooth is 45 vehicles…

A:

Q: On a given day, 525 veh/h arrive at a tollbooth located at the end of an off-ramp of a rural…

A: Given: The rate of arrival is 525 veh/hr. The service rate is 605 veh/hr.

Q: Data collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 5 p.m. 5%…

A: Note:- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

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

A: Given:- Vehicles arrive at a single toll booth beginning at 8:00 AM The toll booth does not open…

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A:

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

A:

Q: The number of vehicles arriving at the upstream of a freeway bottleneck (free of queues) is shown in…

A: Interval Upstream arrival rate, vph Queue length 6:00-6:15 4000 0 6:15-6:30 6000 10 6:30-6:45…

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

A:

Q: At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles…

A: Solution-To Determine,The average time vehicles spent in the system

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

A:

Q: Vehicles arrive according to a Poisson process (random arrival) to a parking lot with mean arrival…

A:

Q: You are now in line to get into toll gate. There are 3 gates available. On average it takes 3…

A: Their are three  gates so the vehicle can go in  We know that average 40 vehicles pass  In 3s = 2…

Q: 3. There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A: Given Data:λ= 480veh/hr.×60min/hr=3veh/minμ=15sec/veh= 60sec/min15sec/veh= 4veh/min

Q: Vehicles start arriving at the entrance of The Galeón at 06:3 am for Covid-19 vaccination; however,…

A: procedure: first, find the departure rate Make a table column and find the arrivals and departures…

Q: Morning peak tratfic upstre 3 booths, each of which can handle one vehicle every 6 second. a. If…

A: According to given data Morning peak traffic upstream of toll boothToll Plaza consists of 3 booths…

Q: 7. Queue Theory: At the end of a sporting event, vehicles begin leaving a parking lot at 2(1) = 12 -…

A: Given:  Equation of Vehicles leaving parking lot  λ(t) = 12-0.25t veh/min  Equation of vehicles…

Q: At time ? = 0, when the border inspection station was scheduled to open, eight vehicles were already…

A: Arrival rate =4 veh/minDeparture rate= 7.5 veh/min

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A: Park opens at 8:00 AM

Q: vehicles start to arrive at a parking area at 6 am with an arrival rate function(vehicles per…

A: a)Here assuming that after parking area  and processes T minutes are taken to clear the queue. Now…

Q: Vehicle arrivals in an event are assumed Poisson distributed with an average arrival rate of (15.4)…

A: Given data: Average arrival rate = 15.4 vehicles in every 2 min.

Q: Consider the following data: · Average number of vehicles (overtaking – overtaken) = 1 · Average…

A:

Q: Number of stations: Station spacing: Station dwell time: Minimum terminal time Maximum train speed:…

A: The given data in the question is: Line length: 30 km Number of stations: 16 Station spacing: 2 km…

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: 4. Given the utility expression AK 0.05Ta 0.04Tw- 0.03T, -0.02C where Ta is the access time, Tw is…

A: Given the utility expression is as follows:  UK = AK - 0.05Ta - 0.04Tw - 0.03Tr - 0.02C   NOTE : As…

Q: 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to…

A: Given data-  Arrival rate (A) = 20veh/min  Departure /service rate(u) = 22 veh /min

Q:  Average time spent by the vehicles in the system  Average waiting time of queue  Average queue…

A: Given,

Q: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of…

A:

Q: a singie pserve an average vehicle arrival rate of 1 hicles per minute starting from 7:00 AM. inutes…

A: