Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Question
Chapter 6, Problem 23P
To determine
The expected number of accepted gaps that will be available for minor road vehicles during the peak hour.
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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.
Problem 1. Given that the value of a segment of roadway is 720 vehicle/hr, where the arrival of vehicles is a Poisson distribution. Calculate the following:
1. No. of headways if it is less than 5 seconds
2. No. of headways if it is more than 5 seconds
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shown in the table below. Based on the numbers given in the table, determine:
(1) Bottleneck capacity in vehicles per hour (vph)
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(3) The demand during the third time interval
(4) Queue length at the end of the third and fourth intervals
Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- road construction The 20-year projection of annual average daily traffic of a two-way roadway is 36.500 vehicles. Theroad serves as a highway between a residential area and a business area and the expected directionaldistribution factor is D=0.6. The 30th peak hour factor for the roadway is K=0.15. During an hourly vehiclecount, the following values were registered: 1st 15 minutes: 200 cars, 2nd 15 minutes: 130 cars, 3rd 15minute 230 cars, 4th 15 minutes. 180 cars. Estimate the peak hour factor . What is the designdirectional hourly volume for this route?arrow_forwardvehicles 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?arrow_forward1. 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.arrow_forward
- At the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute. If the operator of the toll road in the previous problem wants to improve the current condition at the toll plaza, determine the new queue characteristics if the number of toll booths is increased to 2. Estimate average time vehicles spent in the system Group of answer choices 0.05 0.04 0.06 0.07arrow_forwardVehicles 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 quearrow_forwardData obtained from aerial photography showed nine vehicles on a 720 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 4.2 sec. Determine the following. (a) the density on the highway (in veh/mi) veh/mi (b) the flow on the road (in veh/h) veh/h (c) the space mean speed (in mi/h) mi/harrow_forward
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