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A model of information propagation in transportation networks

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arxiv 2407.13369 v1 pith:F4BP2FHK submitted 2024-07-18 math.DS

A model of information propagation in transportation networks

classification math.DS
keywords informationmodelnetworknodetransportationdynamiccontroldemand
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This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package contains a state change that a specific node experienced, and it might affect the traffic network state in the future. Different types of information can be counted in transportation network. Each information type has different characteristics. It propagates through the network and interacts with other IPs and nodes. As a result, the model enables implementing and analyzing dynamic and inconvenient control strategies. This paper focus on flow dynamics and demand routing information under complex environment. The flow dynamics flows the LWR theory along the links. The demand routing follows a node equilibrium model. The node model takes into account the users preferences and choices under dynamic control agents such as dynamic tolling and sends the needed information for other facilities to operate. A DNL model is developed based on the IPM. Several case studies demonstrate the use IPM and its potential to provide a reliable and results for real world complicated transportation applications.

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