The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield's Model. Also determine the maximum capacity and the jam density, optimum speed and density density, vpkm speed, kph 50 18 45 25 40 41 34 58 22 71 13 88 12 98 10 105 110 8 125 5 135

The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield's Model. Also determine the maximum capacity and the jam density, optimum speed and density density, vpkm speed, kph 50 18 45 25 40 41 34 58 22 71 13 88 12 98 10 105 110 8 125 5 135

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 7P

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Concept explainers

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.

Question

The data shown below were obtained on a highway determine the value of "a" and "b" given the
formula for Greenshield's Model. Also determine the maximum capacity and the jam density, optimum speed
and density
density, vpkm
speed, kph
50
18
45
25
40
41
34
58
22
71
13
88
12
98
10
105
110
8
125
5
135

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: The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield's Model. Also determine the maximum capacity and the jam density, optimum speed and density density, vpkm speed, kph 50 18 45 25 40 41 34 58 22 71 13 88 12 98 10 105 9. 110 8 125 135
A traffic engineer, wishing to determine a representative value of ADT on 250 highway links having similar volume characteristics, conducted a preliminary study from which the following estimates were made: mean volume= 45750 veh/day, standard deviation= 3750 veh/day. Determine the minimum number of stations for which the engineer should obtain 24-hour volume counts for a 95-t precision level. Use an allowable range error of 10%.
count peiod. n, 5, A 24-hour count using a road tube at a rural highway location produces a count of I1,250 actuations. A repre- sentative sample count to classify vehicles resulted in the data shown here: 2. en Data for Problem 2 Number of Axles Per Vehicle Number Observed 157 55 50 33 8. ---n 1EK 8 TRAFFIC DATA C Based on this sample classification count, how many vehicles were observed during the 24-hour study? 2344 6
count period. n, 5, A 24-hour count using a road tube at a rural highway location produces a count of I1,250 actuations. A repre- sentative sample count to classify vehicles resulted in the data shown here: en Data for Problem 2 Number of Axles Per Vehicle Number Observed 157 55 50 33 8. ---«n 1EK 8 TRAFFIC DATA C Based on this sample classification count, how many vehicles were observed during the 24-hour study? 2344 6
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: 6-10 q = u,k k; If speed and density observations give the data shown below, develop an appro- priate expression for speed versus density for this highway, and determine the density at which the maximum volume will occur as well as the value of the maximum volume. Also plot speed versus density and volume versus speed for both the expres- sion developed and the data shown. Comment on the differences between the two sets of curves. Speed (mi/h) Density (veh/mi) TT 50 18 45 25 40 41 34 58 22 71 13 88 12 99
Question 2. The capacity of a lane of a highway is 1200 veh/h and the free flow speed at the location is 60 mph. (a) What is the jam density of the lane? (b) Write the Greenshield's model equation for speed-vs-density relation. (c) If the speed at a given time is 50 mph, what is the flow corresponding rate? Use the Greenshield's model derived in (b). (d) What is the speed and density when the flow rate is equal to the capacity?
Q2. The data shown below were obtained on a highway. Determine the parameters for Greenshield's Model. y = ax+b. From the values of a and b, computer the jam density, free flow speed and the capacity of highway. density, vpkm 50 34 22 13 12 10 9 8 5 speed, kph 18 25 58 71 88 98 105 110 125 135
The table below shows data on speed and corresponding densities on a section of a collector road. It can be assumed that the traffic flow characteristics can be described by the greenberge model, develop an appropriate relationship between flow and density. Also deyerdete the capacity of this section of the road Speed kph density veh/km 60 20 46 32 40.8 38 39.3 40 35.7 45 32.6 50 30.8 53 28.4 57 24.7 65 18.5 80
The data shown below were obtained by time-lapse photography on a highway. Use regression analysis to fit these data to the Greenshields model and determine The mean free speed The jam density The capacity The speed at maximum flow Speed(mi/h) Density (veh/mi) 14.2 85 24.1 70 30.3 55 40.1 41 50.6 20 55 15
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