Traffic flow reconstruction using mobile sensors and loop detector data

In order to develop efficient control strategies to improve traffic conditions on freeways, it is necessary to know the state of the freeway at any point in time and space. Using data collected from stationary detectors –such as loop detector stations– the density field can be currently reconstructed to a certain accuracy. Unfortunately, deploying this type of infrastructure is expensive, and its reliability varies. This article proposes and investigates new algorithms that make use of data provided by mobile sensors, in addition to that collected by stationary detectors, to reconstruct traffic flow. Two approaches are proposed and evaluated with traffic data. The first approach is based on data assimilation methods (so-called nudging method) and the second is based on Kalman filtering. These approaches are evaluated using traffic data. Results show that the proposed algorithms appropriately incorporate the new data, improving significantly the accuracy of the estimates that consider loop detector data only.

[1]  Jean-Paul M. G. Linnartz,et al.  Integration Of Probe Vehicle And Induction Loop Data: Estimation Of Travel Times And Automatic Incident Detection , 1996 .

[2]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[3]  R. LeVeque Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[4]  Mario Putti,et al.  Newtonian nudging for a Richards equation-based distributed hydrological model , 2003 .

[5]  Dirk Helbing,et al.  Reconstructing the spatio-temporal traffic dynamics from stationary detector data , 2002 .

[6]  P. I. Richards Shock Waves on the Highway , 1956 .

[7]  Denos C. Gazis,et al.  On-Line Estimation of Traffic Densities from Time-Series of Flow and Speed Data , 1971 .

[8]  Issam S. Strub,et al.  Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling , 2006 .

[9]  Denos C. Gazis,et al.  Application of Kalman Filtering to the Surveillance and Control of Traffic Systems , 1972 .

[10]  Jean Walrand,et al.  Vehicles As Probes , 1995 .

[11]  Y. Ishikawa,et al.  Successive Correction of the Mean Sea Surface Height by the Simultaneous Assimilation of Drifting Buoy and Altimetric Data , 1996 .

[12]  Arnoud Visser,et al.  INTELLIGENT ADAPTIVE TRAFFIC FORECASTING SYSTEM USING DATA ASSIMILATION FOR USE IN TRAVELER INFORMATION SYSTEMS , 2004 .

[13]  Roberto Horowitz,et al.  Piecewise-Linearized Cell Transmission Model and Parameter Calibration Methodology , 2006 .

[14]  R. Horowitz,et al.  Highway traffic state estimation using improved mixture Kalman filters for effective ramp metering control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[15]  Youngbin Yim,et al.  Travel Time Estimation on the San Francisco Bay Area Network Using Cellular Phones as Probes , 2000 .

[16]  Hironori Suzuki,et al.  Application of Probe-Vehicle Data for Real-Time Traffic-State Estimation and Short-Term Travel-Time Prediction on a Freeway , 2003 .

[17]  R. Horowitz,et al.  Traffic density estimation with the cell transmission model , 2003, Proceedings of the 2003 American Control Conference, 2003..

[18]  J. Lygeros,et al.  A game theoretic approach to controller design for hybrid systems , 2000, Proceedings of the IEEE.

[19]  L. Chu Adaptive Kalman Filter Based Freeway Travel time Estimation , 2004 .

[20]  Wei-Hua Lin,et al.  VALIDATING THE BASIC CELL TRANSMISSION MODEL ON A SINGLE FREEWAY LINK , 1995 .

[21]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL, PART II: NETWORK TRAFFIC , 1995 .

[22]  C. Daganzo THE CELL TRANSMISSION MODEL.. , 1994 .