以位勢理論構建三維度車流模式之基礎研究

本研究提出一與空間及容量有關之車流模式。考慮空間與容量變數，允許此模式探討流量與容量之交互影響及車流達到穩定狀態時，流量在道路（空間）上之分布。並根據向量場理論(vector field)，說明此模式為一保守場(conservative field)，利用格林第一定理(Green's first identity)證明此模式解之存在及唯一性，且對此模式討論在混合式邊界條件下之一般解。

關鍵字

車流模式；向量場；保守場；格林定理；位勢理論

並列摘要

A novel traffic flow model based on the interrelations between spatial distributions of traffic flow and its roadway capacity is proposed herein. The model is a conservative vector field, which is proved by the vector field theory. Furthermore, the existence and the uniqueness of the solution for the model is also proved by the Green's first identity. A general analytical solution formula is discussed for a mixed type boundary value problem.

並列關鍵字

Traffic flow model ； Vector field ； Conservative field ； Green's theory ； Potential theory

參考文獻

Baker, Robert G. A.(1981).A Model of Traffic Dispersion from a Congested Road.Transportation Research, B.15(5)

Google Scholar

DuChateau, P.Zachmann, D.(1989).Applied Partial Differential Equations.New York:Harper Row, Publishers, Inc..

Google Scholar

Grossman, S. I.(1986).Calculus.Harcourt Brace Company.

Google Scholar

Hilliges, M.Weidlich, W.(1995).A Phenomenological Model for Dynamic Traffic Flow in Networks.Transportation Research, B.29(6)

Google Scholar

Hopf, L.(1948).Introduction to the Differential Equations of Physics.Dover Publications, Inc..

Google Scholar

國際替代計量

以位勢理論構建三維度車流模式之基礎研究

全文下載

主題瀏覽