ITSC 2001. 2001 IEEE Intelligent Transportation Systems. Proceedings (Cat. No.01TH8585)
DOI: 10.1109/itsc.2001.948697
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Section-wise modeling of traffic flow and its application in traffic state estimation

Abstract: The section-wise macroscopic modeling of trafflc flow is considered. A section is supposed t o be bounded by detectors and several kilometers long. To compute a section model without input from the adjacent sections, feasible boundary conditions have to be specified and boundary variables have to be approximated by the detector measurements. These approximations lead to unknown disturbances in the section model, depending on the direction of propagation of information in the trafflc flow. Various approximation… Show more

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Cited by 9 publications
(6 citation statements)
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“…The EKF is considered as a de facto estimation algorithm for estimating state of a non-linear dynamic system and traffic flow models including CTM are nonlinear in nature. EKF has been consistently used for estimation of traffic state (Wang et al 2011;Messmer 2008, Wang andPapageorgiou 2005;Meier and Wehlan 2001;Cremer 1991). Other estimation algorithms for nonlinear systems such as particle filters and unscented Kalman filter are computationally expansive algorithms when compared with EKF.…”
Section: Extended Kalman Filter For Traffic State Estimationmentioning
confidence: 99%
“…The EKF is considered as a de facto estimation algorithm for estimating state of a non-linear dynamic system and traffic flow models including CTM are nonlinear in nature. EKF has been consistently used for estimation of traffic state (Wang et al 2011;Messmer 2008, Wang andPapageorgiou 2005;Meier and Wehlan 2001;Cremer 1991). Other estimation algorithms for nonlinear systems such as particle filters and unscented Kalman filter are computationally expansive algorithms when compared with EKF.…”
Section: Extended Kalman Filter For Traffic State Estimationmentioning
confidence: 99%
“…The applied 2 Mathematical Problems in Engineering models were relatively simple (due to the short section lengths). Later approaches started using more comprehensive dynamic traffic flow models, which opened the way to the consideration of longer freeway stretches (2-4 km); see Cremer [12] and Cremer et al [13], while more recent investigations elaborated on some technical details based on previously proposed basic ideas; see Kohan and Bortoff [14] and Meier and Wehlan [15]. Other modeling approaches have been used as well as the Kalman filter, such as the neural networks (e.g., [16][17][18][19][20]) and others (e.g., [21,22]).…”
Section: Introductionmentioning
confidence: 99%
“…Frühe Anwendungen der Verkehrsschätzung [10][11][12][13][14][15] bezogen sich hauptsächlich auf kurze Schnellstraßenabschnitte mit engmaschiger Messstellenanordnung unter Verwendung einfacher mathematischer Modelle. Spätere Arbeiten [2][3][4][5][6][7][16][17][18][19][20][21][22][23][24][25][26] verwenden umfassende Modelle und haben deshalb den Weg für die Berücksichtigung langer Strecken bzw. ausgedehnter Netze mit geringer Messpunktabdeckung geebnet [7].…”
Section: Introductionunclassified