Fluid-like models, such as the Lighthill-Whitham-Richards (LWR) model and their discretizations like Daganzo’s Cell Transmission Model (CTM), have proven successful in modeling traffic networks. In general, these models are not linear; they employ discontinuous dynamics or nonlinear terms to describe phenomena like shock waves and phantom jams. Given the complexity of the dynamics, it is not surprising that the stability properties of these models are not yet well characterized. Recent results have shown the existence of a unique equilibrium in the free flow regime for certain classes of networks modeled by the CTM; however, these results restrict inflows to the system to be bounded or constant. Further, it is of interest to understand the system behavior in congested regimes since links in various practical networks are often congested.
Speaker(s): Dr. Vijay Gupta
Virtual: https://events.vtools.ieee.org/m/419622
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