Transportation Engineering - Vol 2 | 10. Fundamental relations of traffic flow by Abraham | Learn Smarter
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Knowledge
10. Fundamental relations of traffic flow

This chapter discusses the fundamental relationships of traffic flow, focusing mainly on time mean speed and space mean speed. It elaborates on the definitions, derivations, and interrelationships between these parameters and introduces the fundamental diagrams of traffic flow, including flow-density and speed-density relationships. Also covered are the implications of these diagrams for traffic analysis and behavior.

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Sections

  • 31

    Fundamental Relations Of Traffic Flow

    This section explains the fundamental relations of traffic flow, focusing on time mean speed and space mean speed, and their interrelations.

    Learning Practice

  • 31.1

    Overview

    The Overview section introduces the concepts of time mean speed and space mean speed as fundamental parameters in traffic flow analysis.

    Learning Practice

  • 31.2

    Time Mean Speed (V_t)

    Time mean speed is the average speed of all vehicles passing a point over a specified duration, highlighting the relationship between different speed measurements in traffic flow.

    Learning Practice

  • 31.3

    Space Mean Speed (V_s)

    Space mean speed, a crucial metric in traffic flow analysis, focuses on the average speed of vehicles, weighted by spatial factors rather than time.

    Learning Practice

  • 31.4

    Illustration Of Mean Speeds

    This section illustrates the concepts of time mean speed and space mean speed through a practical example involving different vehicle speeds and spacing.

    Learning Practice

  • 31.5

    Relation Between Time Mean Speed And Space Mean Speed

    This section explores the relationship between time mean speed and space mean speed within traffic flow analysis.

    Learning Practice

  • 31.6

    Fundamental Relations Of Traffic Flow

    This section discusses the critical relationship between speed, volume, and density in traffic flow, presenting the fundamental equation that describes these variables.

    Learning Practice

  • 31.7

    Fundamental Diagrams Of Traffic Flow

    This section covers the fundamental diagrams of traffic flow, depicting relationships between flow, density, and speed in traffic systems.

    Learning Practice

  • 31.7.1

    Flow-Density Curve

    The flow-density curve depicts the relationship between traffic flow and road density, highlighting key characteristics such as maximum flow and jam density.

    Learning Practice

  • 31.7.2

    Speed-Density Diagram

    The speed-density diagram illustrates the relationship between vehicle speed and density, highlighting key concepts like free flow and jam density.

    Learning Practice

  • 31.7.3

    Speed Flow Relation

    The speed-flow relationship illustrates how the flow of traffic changes with varying speeds, noting key conditions under which maximum flow occurs.

    Learning Practice

  • 31.7.4

    Combined Diagrams

    This section introduces the concept of combined diagrams in traffic flow, integrating flow-density, speed-density, and speed-flow relationships into a cohesive understanding.

    Learning Practice

  • 31.8

    Summary

    This section summarizes the concepts of time mean speed and space mean speed, their relationship, and the fundamental diagrams of traffic flow.

    Learning Practice

  • 31.9

    Problems

    This section introduces problem sets related to traffic flow, focusing on time and space mean speed calculations.

    Learning Practice

References

31.pdf

Class Notes

Memorization

What we have learnt

  • Time mean speed is the aver...
  • Space mean speed considers ...
  • The fundamental diagram of ...

Final Test

Revision Tests