The average queue length at the intersection of the two roads with a stop signs is 4 vehicles. If the arrival rate of vehicles at the stop sign is 300 vehicles per hour, determine the service rate of the road in vehicles per hour. Assume both arrival and departure rates are exponentially distributed.

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: Estimate the probability that not more than or equal to 4 left turn vehicles will come in a cycle.…

A: Using binomial distribution, the probability of occurence of an event 'r' times out of 'n' times is…

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

A:

Q: Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the demand…

A: D/D/1 queu analysis is done for linear arrival and service rate . To analyse this problem we have…

Q: 8:35-8:40 104 km/hour 8:40-8:45 109 km/hour km/hour km/hour km/hour km/hour km/hour km/hour km/hour…

A:

Q: determine the accident rate. If the number of accidents for 7 years recorded in a certain…

A: Accident rate = Number of accidents / (ADT * N *365 )  Lets find the accident rate per HMVM for 100…

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: 2. There are two routes in use between Zones 1 and 2. The volume-delay functions for the two routes…

A: Travel time: t1=41.8 mint2=61.33 min   Traffic volume: V1=4210 veh/hrV2=8236 veh/hr

Q: When an incident occurs causes two lanes to be closed, a three-la e highway in one direction is…

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: The maximum number of vehicles observed in any five minute period during the peak hour is 160. If…

A: given- 5 mintue periodflow=160total flow=1000 vehicles

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: A flow characteristic that is related to the density and obtained from speed data is occupancy. Data…

A: Given ,            Occupancy = 9.375% = 0.09375            Detector d = 6 Ft            Mean vehicle…

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

A:

Q: a.Compute the service rate in vehicles/hr. b.Compute the average waiting time at the stop sign…

A:

Q: In speed and delay study, if the average journey time on a stretch of road length of 3.5 km is 7.55…

A: Given - Road length  = 3.5 km. Average journey time = 7.55 minutes Average stopped delay = 1.8…

Q: traffic volume data has been collected for 15 min time intervals as shownbelow. Find the total…

A:

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

A:

Q: An origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and…

A:

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: A) The following traffic counts were taken on a rural highway during the morning peak hour at…

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

Q: Compute the peak hour factor if the hourly volume of traffic is 1969 veh/hour and the highest 15-min…

A: Given data, Hourly volume of traffic = 1969 veh/hr Peak 5 min volume = 737 vehicle To find out the…

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: Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 +…

A:

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: 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: 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 travel time study conducted on I-77 in the Charlotte metropolitan area shows that it takes 45…

A:

Q: A four-lane freeway, with a lane capacity of 2,000 vph, carries a peak hour volume of 4,000 vph in…

A: Traffic Speed =1/TTR a) During Peak hour  V= 4000 vph C= 2000 vph TTR=1+1.1*VC4=…

Q: with central reserve the current traffic in 2019 expressed by AADT is 3000 vehicle in both…

A: Traffic in 2019 in AADT is 3000 vehicles in both directionsgrowth rate of traffic = 5%need to…

Q: 2. What is the total delay (in vehicle hours traveled) for SVP users? 467 467 veh*hours X

A: Given data:- The vehicle arrives at a ramp rate of, =300 veh/hr One hour of peak demand the rate is,…

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: On a morning peak period of a weekday, a constant traffic flow rate of 8300 vehicles/hour was…

A:

Q: The maximum number of vehicles observed in any five-minute period during the break hour is 160. If…

A: Calculate the five minute peak hour factor?

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

A: Given, Maximum number of vehicles in 5 minutes = 130 vehicle Flow in the peak hour =…

Q: The arrival rate at a parking lot is 6 veh/ min. Vehicles start arriving at 6:00 P. M., and when the…

A: A low level of service may not be expensive, at least for a short time, but it may come in handy…

Quantity takeoff

Quantity takeoffs (QTO) are precise estimates of the materials and labor costs required to finish a construction project. During the pre-construction phase, an estimator prepares them, breaking down the project into smaller, more manageable parts that are easier to evaluate. These measurements are used to prepare a construction scope bid. Estimators examine the drawings, specifications, and models to figure out different quantities and their costs. Since, the components, their quantity, and price are all included in the model, quantity take-off can be done automatically using Building Information Modelling (BIM). The time taken for completing a construction project can be reduced by the use of quantity takeoff. These takeoffs are also called material takeoffs and construction takeoffs.