Abstract
To combine mobile sources and stationary sources, a modeling approach to quantify the variability of the linear projection function using a non-linear regression method is established in this study. Weights that vary spatial-temporally are assigned to neighboring scaling factors. Together with a normalized weighted average function, the subject scaling factor is determined. The framework is applied to a case study in Hong Kong combining Global Positioning System data and the annual traffic counts from 85 fixed stations in Annual Traffic Census database. The performance of the models is assessed based on relative root mean square error and Akaike information criterion.
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Herrera J.C., Work D.B., Herring R., Ban X., Jacobson Q., Bayen A.M.: Evaluation of traffic data obtained via GPS-enabled mobile phones: The Mobile Century field experiment. Transp. Res. C Emerg. Techno. 18(4), 568–583 (2010)
Wong W., Wong S.C.: Systematic bias in transport model calibration arising from the variability of linear data projection. Transp. Res. B Methodol. 75, 1–18 (2015)
Bachmann C., Abdulhai B., Roorda M.J., Moshiri B.: A comparative assessment of multi-sensor data fusion techniques for freeway traffic speed estimation using microsimulation modeling. Transp. Res. C Emerg. Technol. 26, 33–48 (2013)
Faouzi N.-E.E., Leung H., Kurian A.: Data fusion in intelligent transportation systems: progress and challenges – A survey. Inf. Fusion. 12(1), 4–10 (2011)
Cao J., Hadiuzzaman M., Qiu T.Z., Hu D.: Real-time queue estimation model development for uninterrupted freeway flow based on shockwave analysis. Can. J. Civ. Eng. 42(3), 153–163 (2015)
Strub I.S., Bayen A.M.: Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling. Int. J. Robust Nonlinear Control. 16(16), 733–748 (2006)
Kwong K., Kavaler R., Rajagopal R., Varaiya P.: Arterial travel time estimation based on vehicle re-identification using wireless magnetic sensors. Transp. Res. C Emerg. Technol. 17(6), 586–606 (2009)
Chowdhurya D., Desaib R.C.: Steady-states and kinetics of ordering in bus-route models: connection with the Nagel-Schreckenberg model. Eur. Phys. J. B. 15, 375–384 (2000)
Ma D., Wang D., Bie Y., Jin S., Mei Z.: Identification of spillovers in urban street networks based on upstream fixed traffic data. KSCE J. Civ. Eng. 18(5), 1539–1547 (2014)
Hofleitner A., Herring R., Abbeel P., Bayen A.: Learning the dynamics of arterial traffic from probe data using a dynamic Bayesian network. IEEE Trans. Intell. Transp. Syst. 13(4), 1679–1693 (2012)
Jenelius E., Koutsopoulos H.N.: Travel time estimation for urban road networks using low frequency probe vehicle data. Transp. Res. B Methodol. 53, 64–81 (2013)
Zhan X., Hasan S., Ukkusuri S.V., Kamga C.: Urban link travel time estimation using large-scale taxi data with partial information. Transp. Res. C Emerg. Technol. 33, 37–49 (2013)
Zheng F., Van Zuylen H.: Urban link travel time estimation based on sparse probe vehicle data. Transp. Res. C Emerg. Technol. 31, 145–157 (2013)
Bhaskar A., Chung E.: Fundamental understanding on the use of Bluetooth scanner as a complementary transport data. Transp. Res. C Emerg. Technol. 37, 42–72 (2013)
Caceres N., Romero L.M., Benitez F.G., del J.M.: Traffic Flow Estimation Models Using Cellular Phone Data. IEEE Trans. Intell. Transp. Syst. 13(3), 1430–1441 (2012)
Jie L., van Zuylen H., Chunhua L., Shoufeng L.: Monitoring travel times in an urban network using video, GPS and Bluetooth. Procedia Soc. Behav. Sci. 20, 630–637 (2011)
Nanthawichit, C., T. Nakatsuji, and H. Suzuki.:Application of probe vehicle data for real-time traffic state estimation and short-term travel time prediction on a freeway. TRB 2003 Annual Meeting, 2003
Herrera J.C., Bayen A.M.: Incorporation of Lagrangian measurements in freeway traffic state estimation. Transp. Res. B Methodol. 44(4), 460–481 (2010)
Xie, C., Cheu, R., and Lee, D.: Improving arterial link travel time estimation by data fusion. TRB 2004 Annual Meeting, 2004
Yager R.R.: On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. 18(1), 183–190 (1988)
Canaud M., Nabavi A., Bécarie C., Villegas D., Faouzi N.E.E.: A realistic case study for comparison of data fusion and assimilation on an urban network – the archipel platform. Trans. Res. Procedia. 6, 28–49 (2015)
Choi K., Chung Y.: A data fusion algorithm for estimating link travel time. ITS J. 7(3–4), 235–260 (2002)
Bhaskar A., Chung E., Dumont A.-G.: Fusing loop detector and probe vehicle data to estimate travel time statistics on signalized urban networks. Comput.-Aided Civ. Infrastruct. Eng. 26(6), 433–450 (2011)
Geroliminis N., Daganzo C.F.: Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings. Transp. Res. B Methodol. 42(9), 759–770 (2008)
Transport Department, H. K. The annual traffic census 2011. Transport department, Hong Kong, Hong Kong special Adiministrative Region, 2012
Travel Characteristics Survey 2011 Final Report. Hong Kong Special Administrative Region, 2014
Akaike H.: A New Look at the Statistical Model Identification. IEEE Trans. Autom. Control. AC-19(6), 716–723 (1974)
Acknowledgments
This work was supported by a Research Postgraduate Studentship from the University of Hong Kong, and grants from the University Research Committee of the University of Hong Kong (201511159015), and Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. 717512, 17208614). We gratefully acknowledge the Transport Department of HKSAR for providing the ATC and TCS traffic information data and Motion Power Media Limited and Concord Pacific Satellite Technologies Limited for offering the GPS data.
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Meng, F., Wong, S.C., Wong, W. et al. Estimation of Scaling Factors for Traffic Counts Based on Stationary and Mobile Sources of Data. Int. J. ITS Res. 15, 180–191 (2017). https://doi.org/10.1007/s13177-016-0131-1
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DOI: https://doi.org/10.1007/s13177-016-0131-1