Assuming that the expression: u = u,e , can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 50 38.4 33.8 53.2 42.3 8 31 Under what flow conditions is the above model valid?

Assuming that the expression: u = u,e , can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 50 38.4 33.8 53.2 42.3 8 31 Under what flow conditions is the above model valid?

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 12P

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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

Assuming that the expression:
u = ue k,
%3D
can be used to describe the speed-density relationship of a highway, determine the capacity of
the highway from the data below using regression analysis.
k (veh/mi)
u, (mi/h)
43
38.4
33.8
50
53.2
42.3
8
31
Under what flow conditions is the above model valid?

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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
NEED COMPLETE SOLUTION. NEED ASAP. THANK YOU
SAMPLE PROBLEM |In a particular transportation study, the following traffic data were recorded as shown below. Find the required equations and fit the modeled points in the curve using u-k, Q-k and Q-u relationship in the GREENBERG’S logarithmic traffic model FLOW (veh/hr) SPEED (kph) DENSITY (Veh/km) 1600 80 20 3705 39 95 3900 65 60 2400 20 120 1000 15 66.67 4000 50 80
1. Data on density and speed were obtained from a four-lane, two-way rural highway (in one direction only): Fitting the recorded data using linear regression, determine: a.the speed-density relationshipb.the correlation coefficientc.The capacity of the road.
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Assuming that the expression: u = ue i, can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 50 38.4 33.8 53.2 42.3 31 Under what flow conditions is the above model valid?
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