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Based on the Fukui-Ishibashi model (FI model), the energy consumption in the mixed traffic flow is investigated via considering three factors: maximum velocity, length of vehicle, and the ratio of the mixed traffic flow. Simulations and analyses indicate that the energy consumption of the mixed traffic flow with the same length and different maximum velocities is related to the slow maximum velocity and its ratio. The slower the maximum velocity and its ratiare, the more energy will be consumed. Moreover, for the mixed traffic flow with the same maximum velocity and different lengths of vehicle, the energy consumption is related to the ratio of mixed vehicles. Longer vehicles induce more energy consumption. For a mixed traffic flow with the different maximum velocities and lengths of vehicle, its energy consumption is determined by the ratio of the mixed vehicles and delay probability p. The energy consumption of FI model drops off suddenly and trends to zero at the maximum flow rate, where there exits a maximum peak, which is significantly different from the result from the NaSch model.
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Keywords:
- traffic flow /
- cellular automaton /
- FI model /
- energy dissipation
[1] Helbing D 1997 Phys. Rev. E 55 3735
[2] Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[3] Helbing D 2001 Rev. Mod. Phys. 73 1067
[4] Nakayama Y, Sugiyama Y, Hasebe K 2002 Phys. Rev. E 65 016112
[5] Shi W, Xue Y 2007 Physica A 381 399
[6] Zhang W, Zhang W, Yang X Q 2008 Physica A 387 4657
[7] Zhang W, Zhang W, arxiv: 0904.3727v2
[8] Tian H H, Xue Y, Kang S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese)[田欢欢、 薛 郁、 康三军、 梁玉娟 2009 58 4506]
[9] Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)[王 涛、 高自友、 赵小梅 2006 55 634]
[10] Toledo B A, Cerda E, Rogan J, Munoz V, Tenreiro C, Zarama R, Valdivia J A 2007 Phys. Rev. E 75 026108
[11] Helbing D, Hennecke A, Shvetsov V and Treiber M 2001 Transp. Res. B 35 180
[12] Nagatani T 2002 Rep. Progr. Phys. 65 1331
[13] Maerivoet S, Moor B D 2005 Phys. Rep. 419 1
[14] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[15] Takayasu M, Takayasu H 1993 Fractals 1 860
[16] Benjamin S. C, Johnson N. F, Hui P. M 1996 J. Phys. A 29 3119
[17] Barlovic R, Santen L, Schadschneider A, Schreckenberg M 1998 Eur. Phys. J. B 5 793
[18] Fukui M, Ishibashi Y 1996 J. Phys. Soc. Jpn. 65 1868
[19] Wang B H, Wang L, Hui P M, Hu B 1998 20 th IUPAP Inter. Conf. on Stat. Phys. Topic 2, p145
[20] Wang B H, Kuang L Q andHui P M 1998 Acta Phys. Sin. 47 906 (in Chinese) [汪秉宏、 邝乐琪、 许伯铭 1998 47 906]
[21] Chen Y H, Xue Y 2004 Acta Phys. Sin. 53 2750 (in Chinese)[陈燕红、 薛 郁 2004 53 2750]
[22] Xue Yu, Chen Y H, Kong L J 2004 Int. J. Mod. Phys. C 15 721
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[1] Helbing D 1997 Phys. Rev. E 55 3735
[2] Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[3] Helbing D 2001 Rev. Mod. Phys. 73 1067
[4] Nakayama Y, Sugiyama Y, Hasebe K 2002 Phys. Rev. E 65 016112
[5] Shi W, Xue Y 2007 Physica A 381 399
[6] Zhang W, Zhang W, Yang X Q 2008 Physica A 387 4657
[7] Zhang W, Zhang W, arxiv: 0904.3727v2
[8] Tian H H, Xue Y, Kang S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese)[田欢欢、 薛 郁、 康三军、 梁玉娟 2009 58 4506]
[9] Wang T, Gao Z Y, Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)[王 涛、 高自友、 赵小梅 2006 55 634]
[10] Toledo B A, Cerda E, Rogan J, Munoz V, Tenreiro C, Zarama R, Valdivia J A 2007 Phys. Rev. E 75 026108
[11] Helbing D, Hennecke A, Shvetsov V and Treiber M 2001 Transp. Res. B 35 180
[12] Nagatani T 2002 Rep. Progr. Phys. 65 1331
[13] Maerivoet S, Moor B D 2005 Phys. Rep. 419 1
[14] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[15] Takayasu M, Takayasu H 1993 Fractals 1 860
[16] Benjamin S. C, Johnson N. F, Hui P. M 1996 J. Phys. A 29 3119
[17] Barlovic R, Santen L, Schadschneider A, Schreckenberg M 1998 Eur. Phys. J. B 5 793
[18] Fukui M, Ishibashi Y 1996 J. Phys. Soc. Jpn. 65 1868
[19] Wang B H, Wang L, Hui P M, Hu B 1998 20 th IUPAP Inter. Conf. on Stat. Phys. Topic 2, p145
[20] Wang B H, Kuang L Q andHui P M 1998 Acta Phys. Sin. 47 906 (in Chinese) [汪秉宏、 邝乐琪、 许伯铭 1998 47 906]
[21] Chen Y H, Xue Y 2004 Acta Phys. Sin. 53 2750 (in Chinese)[陈燕红、 薛 郁 2004 53 2750]
[22] Xue Yu, Chen Y H, Kong L J 2004 Int. J. Mod. Phys. C 15 721
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