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在NaSch模型的基础上，针对铁路线路特点提出了一种用于模拟铁路线路弯道的多列车追踪运行的元胞自动机模型. 应用该模型，进行了计算机数值模拟，研究了具有不同弯道半径、不同外轨超高和不同弯道长度的线路弯道对铁路交通流的影响. 模拟结果表明：建立的模型能够准确的反映出特殊线路交通流情况，线路弯道对列车的行车安全有较大的影响，同时再现了时走时停的交通波现象，根据仿真结果得出了随着弯道半径的增大，列车的晚点时间逐渐减少，合理选择弯道半径、外轨超高值和弯道长度，可以显著提高线路的通行能力，减低轮轨磨耗，保证列车的安全、舒适运行.所得结果对铁路线路选线设计和运营管理有一定的指导意义.According to the characteristics of railway line and NaSch model a cellular automata model for simulating multi-train tracking of railway curve is proposed. The computer numerical simulation is carried out and the influence of different curve radius, outer rail superelevation curve and curve length on railway traffic flow are studied using the propose model. Simulation results show that the model can reflect accurately traffic flow situation of the special line; and the train line curve has a great influence on the running safety and reveals the traffic wave phenomena in running and stopping. With increasing curve radius, train delay time decreases gradually according to the simulation results. Reasonable selection of curve radius, the outer rail superelevation and curve length can significantly improve the line capacity and reduce the wheel rail wear, so that these can guarantee the safety and comfort of the train running. The results have certain guiding significance for the railway line design and operational management.
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Keywords:
- traffic flow /
- cellular automata /
- railway curve /
- train
[1] Wolfram S 1983 Rev. Mod. Phys. 55 601
[2] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[3] Xue Y, Dong L Y, Dai S Q 2001 Acta Phys. Sin. 50 0445 (in Chinese) [薛郁, 董力耘, 戴世强 2001 物理学报 50 0445]
[4] Tian H H, Xue Y, Kang S J, Liang Y J 2009 Acta Phys. Sin. 58 4507 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4507]
[5] Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508
[6] Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502
[7] Zhao H T, Mao H Y 2013 Acta Phys. Sin. 62 060501
[8] Fang Y, Chen J Z 2013 Chin. Phys. B 22 108902
[9] Sun Y H, Cao C X, Xu Y, Wu C 2013 Chin. Phys. B. 22 120501
[10] Li K P, Gao Z Y, Ning B 2005 J. Comp. Phys. 209 179
[11] Li K P, Gao Z Y, Ning B 2005 Int. J. Mod. Phys. C 16 921
[12] Li F, Gao Z Y, Li K P 2007 Acta Phys. Sin. 56 3160 (in Chinese) [李峰, 高自友, 李克平 2007 物理学报 56 3160]
[13] Zhou H L, Gao Z Y, Li K P 2006 Acta Phys. Sin. 55 1707 (in Chinese) [周华亮, 高自友, 李克平 2006 物理学报 55 1707]
[14] Xun J, Ning B, Li K P 2007 Acta Phys. Sin. 56 5159 (in Chinese) [荀径, 宁滨, 李克平 2007 物理学报 56 5159]
[15] Lang Y J, Xue Y 2010 Acta Phys. Sin. 59 5326 (in Chinese) [良玉娟, 薛郁 2010 物理学报 59 5326]
[16] Zhang L D, Cao L, Zhu W X 2012 Acta Phys. Sin. 61 074501 (in Chinese) [张立东, 贾磊, 朱文兴 2012 物理学报 61 074501]
[17] Yi S R 2009 Design of Railway location (3rd Ed.) (Chengdu: Southwest Jiao Tong University Press) pp96–113 (in Chinese) [易思蓉2009 铁路选线设计(第三版)(成都: 西南交通大学出版社) 第96–113页]
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[1] Wolfram S 1983 Rev. Mod. Phys. 55 601
[2] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[3] Xue Y, Dong L Y, Dai S Q 2001 Acta Phys. Sin. 50 0445 (in Chinese) [薛郁, 董力耘, 戴世强 2001 物理学报 50 0445]
[4] Tian H H, Xue Y, Kang S J, Liang Y J 2009 Acta Phys. Sin. 58 4507 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4507]
[5] Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508
[6] Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502
[7] Zhao H T, Mao H Y 2013 Acta Phys. Sin. 62 060501
[8] Fang Y, Chen J Z 2013 Chin. Phys. B 22 108902
[9] Sun Y H, Cao C X, Xu Y, Wu C 2013 Chin. Phys. B. 22 120501
[10] Li K P, Gao Z Y, Ning B 2005 J. Comp. Phys. 209 179
[11] Li K P, Gao Z Y, Ning B 2005 Int. J. Mod. Phys. C 16 921
[12] Li F, Gao Z Y, Li K P 2007 Acta Phys. Sin. 56 3160 (in Chinese) [李峰, 高自友, 李克平 2007 物理学报 56 3160]
[13] Zhou H L, Gao Z Y, Li K P 2006 Acta Phys. Sin. 55 1707 (in Chinese) [周华亮, 高自友, 李克平 2006 物理学报 55 1707]
[14] Xun J, Ning B, Li K P 2007 Acta Phys. Sin. 56 5159 (in Chinese) [荀径, 宁滨, 李克平 2007 物理学报 56 5159]
[15] Lang Y J, Xue Y 2010 Acta Phys. Sin. 59 5326 (in Chinese) [良玉娟, 薛郁 2010 物理学报 59 5326]
[16] Zhang L D, Cao L, Zhu W X 2012 Acta Phys. Sin. 61 074501 (in Chinese) [张立东, 贾磊, 朱文兴 2012 物理学报 61 074501]
[17] Yi S R 2009 Design of Railway location (3rd Ed.) (Chengdu: Southwest Jiao Tong University Press) pp96–113 (in Chinese) [易思蓉2009 铁路选线设计(第三版)(成都: 西南交通大学出版社) 第96–113页]
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