Lifespan Evaluation of Traffic Detector for Automated Traffic Recorders Based on Weibull Distribution
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 143, Issue 9
Abstract
An automatic traffic recorder (ATR) makes it easy to detect a vehicle’s speed and the number of axles because it produces highly precise data; thus, it can be used to obtain major traffic characteristics for several purposes such as vehicle classification. However, the failure of a piezo sensor or inductive-loop sensor often results in missing data. Moreover, there is no method available for evaluating the life of a sensor installed in a pavement. Therefore, such sensors require maintenance after a failure occurs, resulting in a large amount of missing traffic volume data. If the quantified life expectancy of a sensor could be obtained, a maintenance and rehabilitation strategy could be established and the economic feasibility could be determined. In this study, the 5-year maintenance history of a sensor newly installed in a national highway was reviewed. Normal, gamma, lognormal, and Weibull distributions were fitted to the data, and the results were compared. The Weibull distribution was used to predict the life. When the maintenance histories of piezo and inductive-loop sensors were fitted to the Weibull distribution, the scale parameters were 79.23 and 89.72 and the shape parameters were 3.28 and 2.83 for the piezo sensor and loop sensor, respectively. The mean life and median life of the piezo sensor were calculated to be 71.05 and 70.85 months, respectively. Those of the loop sensor were 79.92 and 78.82 months, respectively.
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References
Almalki, S. J., and Nadarajah, S. (2014). “Modifications of the Weibull distribution: A review.” Reliab. Eng. Syst. Saf., 124, 32–55.
ASTM. (2005). “Standard practice for installing piezoelectric highway traffic sensors.” ASTM E2415, West Conshohocken, PA.
Choi, J.-H., Lee, Y.-J., Yoon, J.-H., and Kang, S.-S. (2013). “Statistical analysis for fatigue life evaluation of vehicle muffler.” Trans. Korean Soc. Mech. Eng. A., 37(3), 365–372.
Cohen, A. C. (1965). “Maximum likelihood estimation in the Weibull distribution based on complete and censored samples.” Technometrics, 7(4), 579–588.
Delignette-Muller, M. L., and Dutang, C. (2014). “fitdistrplus: An R package for fitting distributions.” ⟨http://mirror.mdx.ac.uk/R/web/packages/fitdistrplus/vignettes/paper2JSS.pdf⟩ (Jan. 2016).
Devore, J. L. (2011). Probability and statistics for engineering and the sciences, 8th Ed., Cengage Learning, Boston.
Do, M. (2011). “Comparative analysis on mean life reliability with functionally classified pavement sections.” KSCE J. Civ. Eng., 15(2), 261–270.
Dubey, S. Y. D. (1967). “Normal and Weibull distributions.” Nav. Res. Logist. Q., 14(1), 69–79.
FHWA (Federal Highway Administration). (2013). “Traffic monitoring guide.” U.S. Dept. of Transportation, Washington, DC.
Klein, L. A., Mills, M. K., and Gibson, D. R. P. (2006). Traffic detector handbook, Vol. II, U.S. Dept. of Transportation, Washington, DC.
Kwon, T. M. (2004). “TMC traffic data automation for MnDOT’s traffic monitoring program.” ⟨http://hdl.handle.net/11299/1219⟩ (Jan. 2016).
Li, W. (2004). “Evaluating mean life of power system equipment with limited end-of-life failure data.” IEEE Trans. Power Syst., 19(1), 236–242.
Dr. Martin, P. T., Feng, Y., and Wang, X., (2003). Detector technology evaluation, Univ. of Utah Traffic Lab, Salt Lake City.
Mimbela, L., Elena, Y., and Klein, L. A. (2000). “Summary of vehicle detection and surveillance technologies used in intelligent transportation systems.” ⟨http://trid.trb.org/view.aspx?id=681316⟩ (Jan. 2016).
Montgomery, D. C. (2007). Introduction to statistical quality control, Wiley, Hoboken, NJ.
Ni, D., Leonard, J. D., Guin, A., and Feng, C. (2005). “Multiple imputation scheme for overcoming the missing values and variability issues in ITS data.” J. Transp. Eng., 931–938.
Peeta, S., and Zhang, P. (2002). “Counting device selection and reliability: Synthesis study.” Joint Transportation Research Program, Purdue Univ., West Lafayette, IN.
R [Computer software]. R Core Team, Oklahoma City, OK.
Sakin, R., and Ay, I. (2008). “Statistical analysis of bending fatigue life data using Weibull distribution in glass-fiber reinforced polyester composites.” Mater. Des., 29(6), 1170–1181.
Shirani, M., and Härkegård, G. (2011). “Fatigue life distribution and size effect in ductile cast iron for wind turbine components.” Eng. Fail. Anal., 18(1), 12–24.
Skszek, S. L. (2001). “‘State-of-the-art’ report on non-traditional traffic counting methods.” ⟨http://ntl.bts.gov/lib/18000/18900/18934/PB2002103152.pdf⟩ (Jan. 2016).
Tang, J., Zhang, G., Wang, Y., Wang, H., and Liu, F. (2015). “A hybrid approach to integrate fuzzy C-means based imputation method with genetic algorithm for missing traffic volume data estimation.” Transp. Res. Part C Emerg. Technol., 51, 29–40.
Yang, G. (2007). Life cycle reliability engineering, Wiley, Hoboken, NJ.
Zhong, M., Lingras, P., and Sharma, S. (2004). “Estimation of missing traffic counts using factor, genetic, neural, and regression techniques.” Transp. Res. Part C Emerg. Technol., 12(2), 139–166.
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©2017 American Society of Civil Engineers.
History
Received: Mar 6, 2016
Accepted: Aug 23, 2016
Published online: Jun 27, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 27, 2017
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