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用燕尾突变理论来讨论交通流预测
引用本文:唐铁桥,黄海军. 用燕尾突变理论来讨论交通流预测[J]. 数学研究, 2005, 38(1): 112-116
作者姓名:唐铁桥  黄海军
作者单位:北京航空航天大学经济管理学院,北京,100083
基金项目:国家自然科学基金资助 (70 4 2 90 0 1)
摘    要:交通流本身是一个动态过程,运用尖点突变理论来分析交通流的预测时只考虑了流量和密度,而忽视了时间因素,这本身就不是很合理的.基于这个基础之上,采用燕尾突变理论来讨论交通流预测时将时间因素考虑进去,并给出一个算例表明了此方法预测的效果更符合现实。

关 键 词:燕尾奇点 突变理论 交通流 预测模型 时间因素 微分动力体系
修稿时间:2004-03-10

The Discussion of Traffic Flow Forecast by Using Swallowtail Catastrophe Theory
Tang Tieqiao,Huang Haijun. The Discussion of Traffic Flow Forecast by Using Swallowtail Catastrophe Theory[J]. Journal of Mathematical Study, 2005, 38(1): 112-116
Authors:Tang Tieqiao  Huang Haijun
Abstract:Traffic flow is a dynamic process in nature, therefo re , it is not very reasonable that flow and density of flow are only taken into ac count and that time is neglected if cusp catastrophe theory is used to analyze t raffic flow forecast. Based on it, the discussion of traffic flow forecast takes time into consideration by application of swallowtail catastrophe theory, and a numeric example is presented to show that its effect is more accord with realis m.
Keywords:swallowtail singularity  catastrophe theory  traffic flow  forecast
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