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Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

In: Traffic and Granular Flow '13

Author

Listed:
  • Christian Marschler

    (Technical University of Denmark, Department of Applied Mathematics and Computer Science)

  • Jan Sieber

    (University of Exeter, College of Engineering, Mathematics and Physical Sciences)

  • Poul G. Hjorth

    (Technical University of Denmark, Department of Applied Mathematics and Computer Science)

  • Jens Starke

    (Technical University of Denmark, Department of Applied Mathematics and Computer Science)

Abstract

Equation-free methods make it possible to analyze the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are explicitly given on the macroscopic level. This will facilitate a study of how the model behavior depends on parameter values including an understanding of transitions between different types of qualitative behavior. These methods are introduced and explained for traffic jam formation and emergence of oscillatory pedestrian counter flow in a corridor with a narrow door.

Suggested Citation

  • Christian Marschler & Jan Sieber & Poul G. Hjorth & Jens Starke, 2015. "Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow," Springer Books, in: Mohcine Chraibi & Maik Boltes & Andreas Schadschneider & Armin Seyfried (ed.), Traffic and Granular Flow '13, edition 127, pages 423-439, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10629-8_48
    DOI: 10.1007/978-3-319-10629-8_48
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