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 traffic from a suburban area to a city uses the following five shorter routes, as shown
below.
Access from
Suburban
Route 4
Route 1
Route 5
Route 2
Route 3
Access to
City
The models below show the travel time as a function of traffic flow on each route.
t₁ = 18 + 4.5 x₁
t₂ = 21+ 7.0 x₂
t3 = 26 +
4.9 x3
t4 = 29+
3.4 x4
t5 = 34 + 0.3 x5
Where: t; is travel time on route 'i' (in minutes) and x; is traffic flow on route 'i' (in 1000
vehicles).
the following data were taken on five vehicles travelling consecutively 1.5km portion of the NLEX.
Vehicle Time(minute)
1
1.2
2
1.0
3
1.4
4
1.3
5
1.1
Determine the density of traffic in (Veh per km)
3.33
3.83
4.33
2.83
The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 45 veh/hr, and the rate of service to vehicles can be assumed to be exponentially 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 90% of the time? Assume the average length of a vehicle is 18 ft and that there is an average space of 10 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the tollbooth (that is, the average waiting time in the queue)?
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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Similar questions
- 5. The table below gives data on accepted and rejected gaps of vehicles on the minor road of an unsignalized intersection. If the arrival of major road vehicles can be described by the Poisson distribution, and the peak hour volume is 1100 veh/h, determine the expected number of accepted gaps that will be available for minor road vehicles during the peak hour. Number of Rejected Gaps > t Number of Accepted Gaps >t Gap (t) (s) 1.5 92 3 2.5 52 18 3.5 30 35 4.5 10 62 5.5 2 100arrow_forwardAn expressway consists of four lanes, where the capacity per lane is 2500 vehicles. In normal days, 6500 vehicles pass. However, there is an emergency road repair conducted in which two lanes will be closed. The repair lasted 150 minutes. Calculate the maximum queue length, total length, and number of vehicles impacted by the event, and average individual delay.arrow_forwardThe table below gives data on accepted and rejected gaps of vehicles on the minor road of an unsignalized intersection. If the arrival of major road vehicles can be described by the Poisson distribution, and the peak hour volume is 1100 veh/h, deter- mine the expected number of accepted gaps that will be available for minor road vehi- cles during the peak hour. 6-20 Number of Accepted Gaps >t Number of Gap (t) (s) Rejected Gaps >t 1.5 92 3 2.5 52 18 3.5 30 35 4.5 10 62 5.5 2 100arrow_forward
- 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_forwardA traffic volume of 900 vehicles/hour is observed at an approach intersection. Determine the peak flow rate in one hour for the peak hour factor following: 1.00, 0.90, 0.80, 0.70. Create plots and comment on the results.arrow_forward24-h traffic count at a road section was observed to be 1000 vehicles on a Tuesday in the month of July. If the daily adjustment factor for Tuesday is 1.121 and monthly adjustment factor for July. Is 0.913, the Annual Average Daily traffic (in veh/day, round off to the nearest integer) isarrow_forward
- determine the accident rate. If the number of accidents for 7 years recorded in a certain intersection is 5877 and if the average daily traffic is 485.arrow_forwardQuestion 4 One stretch of two-lane two-way roadway that traverses through level terrain is expected to carry 1400 vehicle per hour. Determine the Level of Service (LOS) in the peak direction for the road based on average travel speed (ATS) if the characteristics of the roadway are as follows: Table Q4-1 Percentage of Trucks Percentage of Recreational Vehicle Peak Hour Factor 10 0.97 60:40 60 Percent Directional Split Percent no-passing Zone Lane Widths Shoulder Widths Design Speed Road Length Access Points 3.35 m 1.2 m 96 km/h 8 km 10 access points per km State all assumption (if any) used in calculation..arrow_forwardThe 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.arrow_forward
- The traffic intensity of a certain freeway is 0.833. The arrival rate of vehicles at a certain intersection (stop sign) is 200 vehicles per hour. Compute the service rate in vehicles/hr. *arrow_forwardAt 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. Estimate average waiting time of vehicles O 0.45 0.35 O 0.65 0.55arrow_forward2. The five-leg roundabout shown below was the scene of 850 accidents in 2004. The annual average daily traffic is shown in the corresponding route OD table. Determine the accident rate of the roundabout. A B D 9,000 11,000 8,500 500 9,040 1,400 12,000 450 C 2,600 400 100 5,800 1,220 890 910 2,500arrow_forward
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