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Modeling Stochastic Behavior of Road Networks With Disruptions Using Percolation Theory

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The road network serves as one of the most fundamental infrastructure systems for the society but is at risk from different types of disruptions. Due to the variety and unpredictability… Click to show full abstract

The road network serves as one of the most fundamental infrastructure systems for the society but is at risk from different types of disruptions. Due to the variety and unpredictability of disruptions, the road network has stochastic behavior, which refers to the state change of the network. In this paper, we propose an approach based on percolation theory to study the stochastic behavior of road networks impacted by disruptions. Two performance metrics, network connectivity and network efficiency, are defined to quantify the behavior of road networks. Instead of relying on detailed network structure, the proposed percolation theory-based approach uses only basic topology information, such as the distribution of node degrees and link capacities, which makes it suitable for large-scale networks. It is found that the efficiency of a disruption-impacted road network is the product of global connectivity, local connectivity, and connectivity strength. Validation by a real-world case shows that this new approach provides detailed and accurate evaluation of the behavior of disruption-impacted road networks.

Keywords: road; network; road networks; percolation theory; stochastic behavior

Journal Title: IEEE Transactions on Intelligent Transportation Systems
Year Published: 2022

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