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Simulation and Optimization of Trajectories in a Congested Network

Author

Listed:
  • Gunnar Flötteröd

    (Berlin University of Technology, Group for Transport Systems Planning and Transport Telematics)

  • Kai Nagel

    (Berlin University of Technology, Group for Transport Systems Planning and Transport Telematics)

Abstract

The subject of this article is twofold. Firstly it describes how a dynamic macroscopic network loading model can be used to simulate the movement of arbitrarily complex individual particles (agents) through a network without loss of the macroscopic model’s differentiability. Based on this result the problem of minimizing a given functional of the macroscopic model’s states by adjustment of individual agents’ trajectories is considered. A solution procedure is proposed, which is based on subsequent linearizations of the overall system dynamics and time variant best path calculations.

Suggested Citation

  • Gunnar Flötteröd & Kai Nagel, 2006. "Simulation and Optimization of Trajectories in a Congested Network," Working Papers 2006-07, Center for Network Industries and Infrastructure (CNI).
    • Handle: RePEc:cni:wpaper:2006-07
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    File URL: http://www.cni.tu-berlin.de/fileadmin/documents/RePEc/cni/working_paper/floetteroed_nagel_2006-simulation_and_optimization_of_trajectories_in_a_congested_network-cni_wp_no_2006-07.pdf
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    More about this item

    Keywords

    congestion; transportation; networks;
    All these keywords.

    JEL classification:

    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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