Abstract
A detailed representation of the traffic state in space and time allows us to analyze various aspects of traffic dynamics. However, since traffic data are only available for a small subset of locations and times, the full traffic state can only be reconstructed by spatiotemporal interpolation, which can be formulated in terms of a convolution integral. Since naive “isotropic” interpolation is inadequate for traffic data, we introduce a more refined interpolation method. This adaptive smoothing method yields a detailed and plausible reconstruction of the traffic state. Finally, we discuss the combination and weighting of multiple, heterogeneous data sources for estimating the traffic state (data fusion).
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Notes
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One could also use a bivariate Gaussian.
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We use \(c\) to denote propagation velocities, and \(V\) and \(v\) for the macroscopic and microscopic vehicle speeds, respectively.
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Treiber, M., Helbing, D.: Reconstructing the spatio-temporal traffic dynamics from stationary detector data. Cooper@tive Tr@nsport@tion Dyn@mics 1 (2002) 3.1–3.24 (Internet Journal, www.TrafficForum.org/journal)
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Treiber, M., Kesting, A., Wilson, R.E.: Reconstructing the traffic state by fusion of heterogeneous data Computer-Aided Civil and Infrastructure Engineering 26 (2011), 408–419
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van Lint, J., Hoogendoorn, S.P.: A robust and efficient method for fusing heterogeneous data from traffic sensors on freeways. Computer-Aided Civil and Infrastructure Engineering 24 (2009) 1–17
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© 2013 Springer-Verlag Berlin Heidelberg
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Treiber, M., Kesting, A. (2013). Spatiotemporal Reconstruction of the Traffic State. In: Traffic Flow Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32460-4_5
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DOI: https://doi.org/10.1007/978-3-642-32460-4_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32459-8
Online ISBN: 978-3-642-32460-4
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