Abstract
This chapter describes a novel traffic monitoring system based on data generated by Inertial Measurement Units (IMUs) in conjunction with short range Bluetooth or WiFi readers. The IMUs are used to estimate the vehicle path along the transportation network, detect traffic stops and go waves, classify traffic-related events, and possibly monitor the condition of the roadway. We introduce a trajectory estimation method for estimating vehicle paths from IMU data and Bluetooth reader position data only. Using this method, we show that the state of traffic on an urban network can be estimated locally by solving a set of independent traffic estimation problems with unknown boundary conditions. This set of independent solutions are then regularized using a consensus-type algorithm to estimate the unknown boundary conditions during the process. This system allows one to estimate the state of traffic over an urban network, while maintaining the privacy of the users, unlike current systems.
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Notes
- 1.
The use of the readers in their usual configuration (re-identification of MAC addresses) requires the transmission of MAC addresses within nodes, and has potential for privacy intrusion.
- 2.
In the present chapter, the GPS data is only used for validation.
- 3.
This assumption is not restrictive in practice, since the definition of the boundaries of each cluster can be adjusted to meet this requirement.
References
J.-P. Aubin, Viability Theory. Systems and Control: Foundations and Applications (Birkhäuser, Boston, 1991)
J.-P. Aubin, A.M. Bayen, P. Saint-Pierre, Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. SIAM J. Control Optim. 47(5), 2348–2380 (2008)
S. Bae, A. Kwasinski, Spatial and temporal model of electric vehicle charging demand. IEEE Trans. Smart Grid 3(1), 394–403 (2012)
E.N. Barron, R. Jensen, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Commun. Partial Differ. Equ. 15, 1713–1742 (1990)
E.S. Canepa, C.G. Claudel, Exact solutions to traffic density estimation problems involving the lighthill-whitham-richards traffic flow model using mixed integer programming, in 2012 15th International IEEE Conference on Intelligent Transportation Systems (ITSC) (IEEE, Piscataway, 2012), pp. 832–839
E.S. Canepa, C.G. Claudel, A framework for privacy and security analysis of probe-based traffic information systems, in Proceedings of the 2nd ACM International Conference on High Confidence Networked Systems (ACM, New York, 2013), pp. 25–32
E. Canepa, C.G. Claudel, A model-based framework for user privacy analysis using probe traffic data. Technical report (2017)
E. Canepa, E. Odat, A. Dehwah, M. Mousa, J. Jiang, C. Claudel, A sensor network architecture for urban traffic state estimation with mixed eulerian/lagrangian sensing based on distributed computing, in International Conference on Architecture of Computing Systems (Springer, Berlin, 2014), pp. 147–158
C.G. Claudel, A.M. Bayen, Lax-Hopf based incorporation of internal boundary conditions into Hamilton-Jacobi equation. Part I: theory. IEEE Trans. Autom. Control 55(5), 1142–1157 (2010). https://doi.org/10.1109/TAC.2010.2041976
C.G. Claudel, A.M. Bayen, Lax-Hopf based incorporation of internal boundary conditions into Hamilton-Jacobi equation. Part II: computational methods. IEEE Trans. Autom. Control 55(5), 1158–1174 (2010). https://doi.org/10.1109/TAC.2010.2045439
C.G. Claudel, A.M. Bayen, Convex formulations of data assimilation problems for a class of Hamilton-Jacobi equations. SIAM J. Control Optim. 49, 383–402 (2011)
J. Cortés, G.E. Dullerud, S. Han, J. Le Ny, S. Mitra, G.J. Pappas, Differential privacy in control and network systems, in 2016 IEEE 55th Conference on Decision and Control (CDC) (IEEE, Piscataway, 2016), pp. 4252–4272
C.F. Daganzo, A variational formulation of kinematic waves: basic theory and complex boundary conditions. Transp. Res B 39B(2), 187–196 (2005)
H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. 31(1), 257–272 (1993)
M. Gruteser, D. Grunwald, Anonymous usage of location-based services through spatial and temporal cloaking, in Proceedings of the 1st International Conference on Mobile Systems, Applications and Services (ACM, New York, 2003), pp. 31–42
K. Han, T.L. Friesz, T. Yao, A link-based mixed integer LP approach for adaptive traffic signal control (2012, Preprint). arXiv:1211.4625
B. Hoh, M. Gruteser, R. Herring, J. Ban, D. Work, J.C. Herrera, A.M. Bayen, M. Annavaram, Q. Jacobson, Virtual trip lines for distributed privacy-preserving traffic monitoring. Proceedings of the 6th International Conference on Mobile systems, Applications, and Services, MobiSys 2008, Breckenridge (2008), pp. 15–28
Z. Hou, J.-X. Xu, J. Yan, An iterative learning approach for density control of freeway traffic flow via ramp metering. Transp. Res. Part C Emerg. Technol. 16(1), 71–97 (2008)
J. Krumm, Inference attacks on location tracks, in Pervasive Computing (Springer, Berlin, 2007), pp. 127–143
J. Krumm, A survey of computational location privacy. Pers. Ubiquit. Comput. 13(6), 391–399 (2009)
C. Lee, B, Hellinga, F. Saccomanno, Evaluation of variable speed limits to improve traffic safety. Transp. Res. Part C Emerg. Technol. 14(3), 213–228 (2006)
E.J. Lefferts, F.L. Markley, M.D. Shuster, Kalman filtering for spacecraft attitude estimation. J. Guid. Control Dyn. 5(5), 417–429 (1982)
Y. Li, E. Canepa, C. Claudel, Efficient robust control of first order scalar conservation laws using semi-analytical solutions. Discrete Contin. Dyn. Syst. Ser. S 7(3), 525–542 (2014)
Y. Li, E. Canepa, C. Claudel, Optimal control of scalar conservation laws using linear/quadratic programming: application to transportation networks. IEEE Trans. Control Netw. Syst. 1(1):28–39 (2014)
M.J. Lighthill, G.B. Whitham, On kinematic waves. II. A theory of traffic flow on long crowded roads. Proc. R. Soc. Lond. 229(1178), 317–345 (1956)
X.-Y. Lu, P. Varaiya, R. Horowitz, D. Su, S. Shladover, Novel freeway traffic control with variable speed limit and coordinated ramp metering. Transp. Res. Rec. J. Transp. Res. Board 2229, 55–65 (2011)
M. Mousa, M. Abdulaal, S. Boyles, C. Claudel, Inertial measurement unit-based traffic monitoring using short range wireless sensor networks, in Transportation Research Board 94th Annual Meeting, number 15-4072 (2015)
M. Mousa, K. Sharma, C. Claudel, Automatic calibration of device attitude in inertial measurement unit based traffic probe vehicles, in 2016 15th ACM/IEEE International Conference on Information Processing in Sensor Networks (IPSN) (IEEE, Piscataway, 2016), pp. 1–2
M. Papageorgiou, H. Hadj-Salem, J.-M. Blosseville, Alinea: a local feedback control law for on-ramp metering. Transp. Res. Rec. 1320(1), 58–67 (1991)
S.T. Peddinti, N. Saxena, On the limitations of query obfuscation techniques for location privacy, in Proceedings of the 13th International Conference on Ubiquitous Computing (ACM, New York, 2011), pp. 187–196
D. Pisarski, C. Canudas-de Wit, Nash game-based distributed control design for balancing traffic density over freeway networks. IEEE Trans. Control Netw. Syst. 3(2), 149–161 (2016)
W. Premerlani, P. Bizard, Direction cosine matrix IMU: theory. DIY Drone: USA, pp. 13–15, 2009
I.S. Strub, A.M. Bayen, Weak formulation of boundary conditions for scalar conservation laws. Int. J. Robust Nonlinear Control 16(16), 733–748 (2006)
Y. Sun, D.B. Work, Scaling the Kalman filter for large-scale traffic estimation. IEEE Trans. Control Netw. Syst. (2017). http://ieeexplore.ieee.org/document/7855709/; http://dx.doi.org/10.1109/TCNS.2017.2668898
R. Wang, D.B. Work, R. Sowers, Multiple model particle filter for traffic estimation and incident detection. IEEE Trans. Intell. Transp. Syst. 17(12), 3461–3470 (2016)
D. Work, S. Blandin, O. Tossavainen, B. Piccoli, A. Bayen, A distributed highway velocity model for traffic state reconstruction. Appl. Res. Math. eXpress (ARMX) 1, 1–35 (2010)
X. Wu, S. Subramanian, R. Guha, R.G. White, J. Li, K.W. Lu, A. Bucceri, T. Zhang, Vehicular communications using DSRC: challenges, enhancements, and evolution. IEEE J. Sel. Areas Commun. 31(9), 399–408 (2013)
Acknowledgements
The authors would like to thank the Texas Department of Transportation for supporting this research under project 0-6838, Bringing Smart Transport to Texans: Ensuring the Benefits of a Connected and Autonomous Transport System in Texas.
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Lei, T., Minbaev, A., Claudel, C.G. (2019). A Privacy-Preserving Urban Traffic Estimation System. In: Ukkusuri, S., Yang, C. (eds) Transportation Analytics in the Era of Big Data. Complex Networks and Dynamic Systems, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-75862-6_4
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