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Car Following Prediction Based on Support Vector Regression and Multi-adaptive Regression Spline by Considering Instantaneous Reaction Time

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Abstract

Car following modeling is one of the major issues in microscopic traffic simulation, and the accuracy and reliability of microscopic simulation models highly depend on the models. This research used a highly efficient method of regression for car following modeling such as support vector regression and compared it with multi-adaptive regression spline method as a nonparametric method. Meanwhile, the factors of “speed” and “distance to the following car” were used as the model’s inputs and it was proved that the accuracy of support vector regression model exceeded that of multi-adaptive regression spline. Driver’s reaction time is another unavoidable factor in car following modeling, which varies based on driver–vehicle features and traffic conditions. The research determines this value with respect to the time lag between the diagrams of the following and leading cars distance, the speed of the following car, and the execution of support vector regression model. The model was then implemented using the microdata of a highway traffic flow in the USA for 3 lanes. The research shows that the proposed model has a proper validity after entering driver’s instantaneous reaction time, which is based on the proximity of the results to the real condition of car following in simulation. A comparison was made between the simulations carried out using traditional models and the models proposed in this research. The results can be considered as a basis for other studies on car following modeling and microscopic traffic simulation in highway field.

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References

  • Aghabayk K, Sarvi M, Young W (2015) A state-of-the-art review of car-following models with particular considerations of heavy vehicles. Transp Rev 35(1):82–105

    Article  Google Scholar 

  • Ataei M, Osanloo M (2004) Using a combination of genetic algorithm and the grid search method to determine optimum cutoff grades of multiple metal deposits. Int J Surf Min Reclam Environ 18(1):60–78

    Article  Google Scholar 

  • Boer ER, Kenyon RV (1998) Estimation of time-varying delay time in nonstationary linear systems: an approach to monitor human operator adaptation in manual tracking tasks. IEEE Trans Syst Man Cybern Part A Syst Hum 28(1):89–99

    Article  Google Scholar 

  • Burrus CS, Gopinath RA, Guo H (1997) Introduction to wavelets and wavelet transforms. Prentice Hall, Upper Saddle River

    Google Scholar 

  • Chang K, Chon K (2005) A car-following model applied reaction times distribution and perceptual threshold. J East Asia Soc Transp Stud 6:1888–1903

    Google Scholar 

  • Chang C-C, Lin C-J (2002) Training v-support vector regression: theory and algorithms. Neural Comput 14(8):1959–1977

    Article  MATH  Google Scholar 

  • Colombaroni C, Fusco G (2014) Artificial neural network models for car following: experimental analysis and calibration issues. J Intell Transp Syst 18(1):5–16

    Article  Google Scholar 

  • Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20(3):273–297

    MATH  Google Scholar 

  • da Rocha TV, Leclercq L, Montanino M, Parzani C, Punzo V, Ciuffo B, Villegas D (2015) Does traffic-related calibration of car-following models provide accurate estimations of vehicle emissions? Transp Res Part D Transp Environ 34:267–280

    Article  Google Scholar 

  • Ding N, Zhu S, Wang H, Jiao N (2017) Following safely on curved segments: a measure with discontinuous line markings to increase the time headways. Iran J Sci Technol Trans Civ Eng 41(3):351–359

    Article  Google Scholar 

  • Elith J, Leathwick J (2007) Predicting species distributions from museum and herbarium records using multiresponse models fitted with multivariate adaptive regression splines. Divers Distrib 13(3):265–275

    Article  Google Scholar 

  • Friedman JH (1991) Multivariate adaptive regression splines. Ann Stat 19(1):1–67

    Article  MathSciNet  MATH  Google Scholar 

  • Hastie T, Tibshirani R, Friedman J, Hastie T, Friedman J, Tibshirani R (2009) The elements of statistical learning. Springer, New York

    Book  MATH  Google Scholar 

  • He Z, Zheng L, Guan W (2015) A simple nonparametric car-following model driven by field data. Transp Res Part B Methodol 80:185–201

    Article  Google Scholar 

  • Hsu C-W, Chang C-C, Lin C-J (2003) A practical guide to support vector classification. University of National Taiwan, Taipei

    Google Scholar 

  • Kalnins K, Jekabsons G, Rikards R (2009) Metamodels for optimisation of post-buckling responses in full-scale composite structures. In: Proceedings of 8th world congress on structural and multidisciplinary optimisation, Lisbon, Portugal

  • Milborrow S (2018) Notes on the earth package. http://www.milbo.org/doc/earth-notes.pdf

  • Misiti M, Misiti Y, Oppenheim G, Poggi J-M (1996) Wavelet toolbox. The MathWorks Inc., Natick

    MATH  Google Scholar 

  • Ozaki H (1993) Reaction and anticipation in the car-following behavior. In: Daganzo CE (ed) Transportation and Traffic Theory. Proceedings of the 12th International Symposium on the Theory of Traffic Flow and Transportation. Elsevier, New York, pp 349–366

    Google Scholar 

  • Poor Arab Moghadam M, Pahlavani P (2015) Moving objects trajectoty prediction based on artificial neural network approximator by considering instantaneous reaction time, case study: CAR Following. Int Arch Photogramm Remote Sens Spat Inf Sci 40(1):577

    Article  Google Scholar 

  • Poor Arab Moghadam M, Pahlavani P, Naseralavi S (2016) Prediction of car following behavior based on the instantaneous reaction time using an ANFIS-CART based model. Int J Transp Eng 4(2):109–126

    Google Scholar 

  • Punzo V, Borzacchiello MT, Ciuffo B (2011) On the assessment of vehicle trajectory data accuracy and application to the Next Generation SIMulation (NGSIM) program data. Transp Res Part C Emerg Technol 19(6):1243–1262

    Article  Google Scholar 

  • Rahman M (2013) Application of parameter estimation and calibration method for car-following models, Master of Science Thesis. Clemson University, South Carolina

  • Saifuzzaman M, Zheng Z (2014) Incorporating human-factors in car-following models: a review of recent developments and research needs. Transp Res Part C Emerg Technol 48:379–403

    Article  Google Scholar 

  • Samui P (2013) Multivariate adaptive regression spline (Mars) for prediction of elastic modulus of jointed rock mass. Geotech Geol Eng 31(1):249–253

    Article  Google Scholar 

  • Samui P, Kurup P (2012) Multivariate adaptive regression spline and least square support vector machine for prediction of undrained shear strength of clay. Int J Appl Metaheuristic Comput 3(2):33–42

    Article  Google Scholar 

  • Smola A, Vapnik V (1997) Support vector regression machines. Adv Neural Inf Process Syst 9:155–161

    Google Scholar 

  • Sun B, Wu N, Ge Y-E, Kim T, Zhang HM (2014) A new car-following model considering acceleration of lead vehicle. Transport (ahead-of-print) 1–10

  • Suykens JA, Van Gestel T, De Moor B, Vandewalle J (2002) Basic methods of least squares support vector machines. Least squares support vector machines. World Scientific, Singapore

    Book  MATH  Google Scholar 

  • Tang L, Qiu P, Schlinger CM, Yang G, Ye W (2016) Analysis of the influence of vehicle loads on deep underground excavation-supporting structures. Iran J Sci Technol Trans Civ Eng 40(3):209–218

    Article  Google Scholar 

  • Wang J, Hou R, Wang C, Shen L (2016) Improved v-support vector regression model based on variable selection and brain storm optimization for stock price forecasting. Appl Soft Comput 49:164–178

    Article  Google Scholar 

  • Wei D, Chen F, Zhang T (2010) Least square-support vector regression based car-following model with sparse sample selection. In: 2010 8th world congress on intelligent control and automation (WCICA), IEEE

  • Yang D, Jin P, Pu Y, Ran B (2013) Safe distance car-following model including backward-looking and its stability analysis. Eur Phys J B 86(3):1–11

    Article  MathSciNet  Google Scholar 

  • Zheng J, Suzuki K, Fujita M (2013) Car-following behavior with instantaneous driver–vehicle reaction delay: a neural-network-based methodology. Transp Res Part C Emerg Technol 36:339–351

    Article  Google Scholar 

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Correspondence to Parham Pahlavani.

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Pahlavani, P., Poor Arab Moghadam, M. & Bigdeli, B. Car Following Prediction Based on Support Vector Regression and Multi-adaptive Regression Spline by Considering Instantaneous Reaction Time. Iran J Sci Technol Trans Civ Eng 43 (Suppl 1), 67–79 (2019). https://doi.org/10.1007/s40996-018-0141-0

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  • DOI: https://doi.org/10.1007/s40996-018-0141-0

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