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Study on fuel consumption in the Kerner–Klenov–Wolf three-phase cellular automaton traffic flow model

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Abstract

Based on the Kerner–Klenov–Wolf three-phase cellular automaton traffic model, we study fuel consumption of vehicles on one-way lanes under open boundary conditions. The difference in the appearance of the phase diagram is found to be related to the length of the vehicle. Phase diagram is divided into free flow, congested phase I, congested phase II and maximum current (MC) phase for the 15 cells of vehicle length and lacks the maximum current (MC) phase for 5 cells of vehicle length. By analysis of the cross-correlation between local density and flow and the spatial–temporal patterns, synchronized flow (SF) on the area upstream of the road is determined. The numerical computations for fuel consumption on free flow, congested phase I, synchronous flow (SF) and maximum current (MC) are carried out. The results indicate that the injection rate and the removal rate have great impacts on fuel consumption in the open boundary traffic system. The maximum current (MC) phase and congested phase I maximize fuel consumption. The fuel consumption of synchronized flow (SF) exceeds that of the free flow, but lower than that of the congested phase I and the maximum current (MC).

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Acknowledgments

The project supported by the National Natural Science Foundation of China (Grant Nos. 11262003 & 11672176), the Natural Science Foundation of Guangxi, China (Grant No. 2018GXNSFAA138205), Guangxi Higher Education Undergraduate Teaching Reform Project (2019JGZ102) and the high-performance computing platform of Guangxi University.

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Authors and Affiliations

  1. Institute of Physical Science and Technology, Guangxi University, Nanning, 530004, China

    Yu Xue, Xue Wang, Bing-ling Cen & Peng Zhang

  2. Center for ITS and UAV Applications Research, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Hong-di He

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  1. Yu Xue
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  2. Xue Wang
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Correspondence to Yu Xue.

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Xue, Y., Wang, X., Cen, Bl. et al. Study on fuel consumption in the Kerner–Klenov–Wolf three-phase cellular automaton traffic flow model. Nonlinear Dyn 102, 393–402 (2020). https://doi.org/10.1007/s11071-020-05947-2

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