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Data fusion algorithm for macroscopic fundamental diagram estimation
Institution:1. Molecular Rebar Design, LLC, 13477 Fitzhugh Rd, Austin, TX 78736, USA;2. AMRI and Department of Physics, University of New Orleans, LA 70148, USA;3. Center for Materials for Information Technology, University of Alabama, Tuscaloosa, AL 35487, USA;4. School of Polymers and High Performance Materials, University of Southern Mississippi, Hattiesburg, MS 39406, USA;5. USA;1. Laboratory of Functional Lipidomics, Department of Pharmacology, Faculty of Medicine and Health Sciences, UAE University, Al Ain, United Arab Emirates;2. Department of Biochemistry, Faculty of Medicine and Health Sciences, UAE University, Al Ain, United Arab Emirates;3. Department of Physiology, Faculty of Medicine and Health Sciences, UAE University, Al Ain, United Arab Emirates;4. Bogomoletz Institute of Physiology and International Center of Molecular Physiology, National Academy of Sciences of Ukraine, Kyiv 24, Ukraine;5. Department of Biological Sciences, Schmid College of Science and Engineering, Chapman University, One University Drive, Orange, CA 92866, USA;1. Engineering Division, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates;2. International Centre for Diffraction Data, Newtown Square, PA, USA;3. Core Technology Platforms, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates
Abstract:A promising framework that describes traffic conditions in urban networks is the macroscopic fundamental diagram (MFD), relating average flow and average density in a relatively homogeneous urban network. It has been shown that the MFD can be used, for example, for traffic access control. However, an implementation requires an accurate estimation of the MFD with the available data sources.Most scientific literature has considered the estimation of MFDs based on either loop detector data (LDD) or floating car data (FCD). In this paper, however, we propose a methodology for estimating the MFD based on both data sources simultaneously. To that end, we have defined a fusion algorithm that separates the urban network into two sub-networks, one with loop detectors and one without. The LDD and the FCD are then fused taking into account the accuracy and network coverage of each data type. Simulations of an abstract grid network and the network of the city of Zurich show that the fusion algorithm always reduces the estimation error significantly with respect to an estimation where only one data source is used. This holds true, even when we account for the fact that the probe penetration rate of FCD needs to be estimated with loop detectors, hence it might also include some errors depending on the number of loop detectors, especially when probe vehicles are not homogeneously distributed within the network.
Keywords:MFD estimation  Simulation  Loop detector data (LDD)  Floating car data (FCD)  Fusion  Probe penetration estimation
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