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Introduction to the Theory of Traffic Flow

Author: Wilhelm Leutzbach
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Wilhelm Leutzbach
ISBN: 9783642613531 3642613535
OCLC Number: 851842739
Description: 1 online resource (xi, 204 pages 159 illustrations)
Contents: I. The Motion of a Single Vehicle.- I.1. Kinematics of a Single Vehicle.- I.1.1 Time-dependent Description.- I.1.1.1 Motion as a Function of Time.- I.1.1.2 Motion as a Function of Distance.- I.1.1.3 Motion as a Function of Speed.- I.1.2 Distance-dependent Description.- I.1.3 Graphical Transformations.- I.2. Statistics of the Motion of an Individual Vehicle.- I.2.1 Means and Variances of Speeds.- I.2.2 The Relationship Between the Parameters of Time-dependent and Distance-dependent Motion.- I.2.3 The Distribution of Acceleration.- II. The Motion of Several Vehicles on a Road.- II.1. Distributions and Their Parameters.- II.2. Parameters for Describing a Traffic Stream.- II.2.1 Discrete Flows and Local Measurements.- II.2.2 Discrete Flows and Instantaneous Measurements.- II.2.3 Speed Distributions.- II.2.3.1 The Instantaneous Speed Distribution.- II.2.3.2 The Local Speed Distribution.- II.2.3.3 The Speed Distribution as Seen by a Moving Observer.- II.2.3.4 Parameters of Speed Distributions for Non-constant Speeds.- II.2.4 Headway Distributions.- II.2.5 Lane Occupancy.- II.2.6 Relationship Between Parameters.- II.2.6.1 Fundamental Considerations.- II.2.6.2 The Effects of the Method of Measurement.- II.2.6.2.1 Local Measurements and Measurement Intervals.- II.2.6.2.2 Instantaneous Measurement and Measurement Intervals.- II.2.6.2.3 Quasi-local Measurements.- II.2.6.2.4 Quasi-instantaneous Measurements.- II.2.6.2.5 The Generalized Relationship.- II.2.6.2.6 Journey Time Measurement.- II.2.6.2.6.1 Observations Made from a Moving Vehicle.- II.2.6.2.6.2 Determination of q and r from Traffic Counts at the End of a Link.- II.2.6.3 Empirical Relationships.- II.2.6.3.1 Speed and Volume.- II.2.6.3.2 Speed and Density.- II.2.6.3.3 Volume and Density: The Fundamental Diagram.- II.2.6.3.4 The Dynamic Fundamental Diagram.- II.2.6.3.5 Influences on the Shape of the Fundamental Diagram.- II.3 Description of the States of Traffic.- II.3.1 Freely Flowing Traffic.- II.3.1.1 Parameters as Functions of Time and Distance.- II.3.1.2 Overtaking in Freely Flowing Traffic.- II.3.2 Partly Constrained Traffic.- II.3.2.1 Queueing Theory Models for Two-Lane Rural Roads.- II.3.2.2 The Kinetic Theory.- II.3.2.3 A Multi-phase Model of Traffic Flow.- II.3.2.4 Observed Lane Changing Behaviour.- II.3.3 The Constrained Traffic.- II.3.3.1 Deterministic Spacing Models.- II.3.3.1.1 Constant Spacing.- II.3.3.1.2 Spacing as a Function of Speed.- II.3.3.1.3 Car Following Models.- II.3.3.1.4 Macroscopic Verification of Microscopic Models.- II.3.3.1.4.1 Integration of the Car Following Equation.- II.3.3.1.4.2 The Influence of Exponential Terms in the Car Following Equation on the Shape of the Fundamental Diagram.- II.3.3.2 Psycho-Physical Spacing Models.- II.3.3.3 Continuum Theory.- II.3.3.3.1 The Fundamental Equation and the Continuum Equation.- II.3.3.3.2 Shockwaves.- II.3.3.3.3 Kinematic Waves or Characteristics.- II.3.3.3.4 Form of the Fundamental Diagram II.- II.3.3.3.5 The Application of Continuum Theory to a Multi-lane Carriageway.- II.3.3.3.6 Generalization of the Continuum Theory.- II.3.3.3.7 A Dynamic Continuum Model.- II.3.3.3.8 Derivation of the Continuum Model from a Kinetic Model.- References.- List of Symbols.
Responsibility: by Wilhelm Leutzbach.

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