Simulation and Optimization of Trajectories in a Congested Network
AbstractThe 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.
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Bibliographic InfoPaper provided by Center for Network Industries and Infrastructure (CNI) in its series Working Papers with number 2006-07.
Length: 6 pages
Date of creation: 2006
Date of revision:
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congestion; transportation; networks;
Find related papers by 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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