Transportation Engineering - Vol 2 | 12. Traffic Stream Models by Abraham | Learn Smarter
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12. Traffic Stream Models

12. Traffic Stream Models

Traffic stream models are essential for understanding the relationships between traffic parameters such as speed, density, and flow. The chapter discusses various models like Greenshield's model, which assumes a linear relationship between speed and density, and other advanced models that cater to different traffic conditions. It also addresses the implications of shock waves and presents foundational equations governing traffic flow.

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Sections

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  1. 33
    Traffic Stream Models

    This section discusses various traffic stream models, focusing on...

  2. 33.1

    This section provides an overview of traffic stream models, emphasizing the...

  3. 33.2
    Greenshield’s Macroscopic Stream Model

    Greenshield’s macroscopic stream model describes the relationship between...

  4. 33.2.1
    Relationship Between Speed And Density

    This section explores the relationship between traffic speed and density as...

  5. 33.2.2
    Relationship Between Flow And Density

    This section explores the parabolic relationship between traffic flow and...

  6. 33.2.3
    Boundary Conditions

    This section discusses boundary conditions in traffic stream models,...

  7. 33.3
    Calibration Of Greenshield’s Model

    In this section, we explore how to calibrate Greenshield's model to...

  8. 33.4
    Other Macroscopic Stream Models

    This section discusses various macroscopic traffic stream models that extend...

  9. 33.4.1
    Greenberg’s Logarithmic Model

    Greenberg's logarithmic model establishes a logarithmic relationship between...

  10. 33.4.2
    Underwood Exponential Model

    The Underwood Exponential Model presents an exponential relationship between...

  11. 33.4.3
    Pipes’ Generalized Model

    The Pipes’ Generalized Model introduces a flexible approach to traffic flow...

  12. 33.4.4
    Multiregime Models

    Multiregime models address the variability of speed-density relationships in...

  13. 33.5

    Shock waves in traffic flow describe rapid changes in speed, density, and...

  14. 33.6
    Macroscopic Flow Models

    Macroscopic flow models provide a framework to analyze traffic flow on a...

  15. 33.7

    Traffic stream models aim to establish relationships among key traffic...

  16. 33.8

    This section presents a practical problem applying the Greenshield's model...

What we have learnt

  • Greenshield's model establishes a linear speed-density relationship.
  • Other models include Greenberg's logarithmic model and Underwood's exponential model, which address the limitations of Greenshield's assumptions.
  • Shock waves in traffic can be understood as points that separate different flow conditions in a stream.

Key Concepts

-- Greenshield's Model
A traffic stream model proposing a linear relationship between speed and density, defined by the equation v = v_f(1 - k/k_j).
-- Shock Waves
Changes in traffic flow characteristics due to sudden changes in conditions, represented as movements on a flow-density graph.
-- Macroscopic Flow Models
Models that treat traffic flow as a continuous medium, focusing on aggregate behaviors rather than individual vehicles.

Additional Learning Materials

Supplementary resources to enhance your learning experience.