Abstract
Given the vehicle speed during actual driving, it is possible to apply an advanced energy management strategy for achieving better efficiency and less emission. We conducted a study to predict the future speed while driving of city buses, where only a few bus driving data and bus stop IDs are used without external complex traffic information. The speed prediction models were developed based on long time short memory (LSTM) and a gated recurrent unit (GRU), and a deep neural network (DNN) is also adopted for the bus stop ID processing. The performances of the models were analyzed and compared such that we found the LSTM-based model presents remarkable and practical prediction ability in accuracy and time spent. Adopting the proposed speed prediction model would make it a reality sooner, application of the optimal energy control strategy in the real world.
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- x t :
-
distance over time, m
- v t :
-
speed over time, m/s
- a t :
-
acceleration over time, m/s2
- σ :
-
sigmoid function
- tanh :
-
hyperbolic tangent function
- W 0 :
-
weight of neural network
- b 0 :
-
bias of neural network
References
Cho, K., Van Merriënboer, B., Bahdanau, D. and Bengio, Y. (2014). On the properties of neural machine translation: Encoder-decoder approaches. arXiv: 1409.1259.
Chung, J., Gulcehre, C., Cho, K. and Bengio, Y. (2014). Empirical evaluation of gated recurrent neural networks on sequence modeling. arXiv: 1412.3555.
Dey, R. and Salem, F. M. (2017). Gate-variants of gated recurrent unit (GRU) neural networks. IEEE 60th Int. Midwest Symp. Circuits and Systems (MWSCAS), Boston, MA, USA.
Gaikwad, T. D., Asher, Z. D., Liu, K., Huang, M. and Kolmanovsky, I. (2019). Vehicle velocity prediction and energy management strategy Part 2: Integration of machine learning vehicle velocity prediction with optimal energy management to improve fuel economy. SAE Paper No. 2019-01-1212.
Giles, C. L., Kuhn, G. M. and Williams, R. J. (1994). Dynamic recurrent neural networks: Theory and applications. IEEE Trans. Neural Networks 5, 2, 153–156.
Hochreiter, S. (1991). Untersuchungen zu dynamischen neuronalen Netzen. Diploma. Technische Universität Munich, München, Germany.
Hochreiter, S. and Schmidhuber, J. (1997). Long short-term memory. Neural Computation 9, 8, 1735–1780.
Huang, D., Xie, H., Ma, H. and Sun, Q. (2017). Driving cycle prediction model based on bus route features. Transportation Research Part D: Transport and Environment, 54, 99–113.
Jeong, M. H., Lee, T. Y., Jeon, S. B. and Youm, M. (2021). Highway speed prediction using gated recurrent unit neural networks. Applied Sciences 11, 7, 3059.
Jiang, B. and Fei, Y. (2016). Vehicle speed prediction by two-level data driven models in vehicular networks. IEEE Trans. Intelligent Transportation Systems 18, 7, 1793–1801.
Lemieux, J. and Ma, Y. (2015). Vehicle speed prediction using deep learning. IEEE Vehicle Power and Propulsion Conf. (VPPC), Montreal, QC, Canada.
Li, Y., Chen, M. and Zhao, W. (2019). Investigating long-term vehicle speed prediction based on BP-LSTM algorithms. IET Intelligent Transport Systems 13, 8, 1281–1290.
Liu, H., Xu, H., Yan, Y., Cai, Z., Sun, T. and Li, W. (2020). Bus arrival time prediction based on LSTM and spatial-temporal feature vector. IEEE Access, 8, 11917–11929.
Liu, K., Asher, Z., Gong, X., Huang, M. and Kolmanovsky, I. (2019). Vehicle velocity prediction and energy management strategy Part 1: Deterministic and stochastic vehicle velocity prediction using machine learning. SAE Paper No. 2019-01-1051.
Lu, Y. and Salem, F. M. (2017). Simplified gating in long short-term memory (LSTM) recurrent neural networks. IEEE 60th Int. Midwest Symp. Circuits and Systems (MWSCAS), Boston, MA, USA.
Ma, X., Tao, Z., Wang, Y., Yu, H. and Wang, Y. (2015). Long short-term memory neural network for traffic speed prediction using remote microwave sensor data. Transportation Research Part C: Emerging Technologies, 54, 187–197.
Park, J., Li, D., Murphey, Y. L., Kristinsson, J., Mcgee, R., Kuang, M. and Phillips, T. (2011). Real time vehicle speed prediction using a neural network traffic model. Int. Joint Conf. Neural Networks (IJCNN), San Jose, CA, USA.
Xiang, C., Ding, F., Wang, W. and He, W. (2017). Energy management of a dual-mode power-split hybrid electric vehicle based on velocity prediction and nonlinear model predictive control. Applied Energy, 189, 640–653.
Yan, M., Li, M., He, H. and Peng, J. (2018). Deep learning for vehicle speed prediction. Energy Procedia, 152, 618–623.
Zaremba, W., Sutskever, I. and Vinyals, O. (2014). Recurrent neural network regularization. arXiv: 1409.2329.
Acknowledgement
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (No. 2019R1A2C1090927 and No. 2021R1F1A1063048).
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Hwang, G., Hwang, Y., Shin, S. et al. Comparative Study on the Prediction of City Bus Speed Between LSTM and GRU. Int.J Automot. Technol. 23, 983–992 (2022). https://doi.org/10.1007/s12239-022-0085-z
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DOI: https://doi.org/10.1007/s12239-022-0085-z