具弧容量约束交通均衡流的存在性研究
Existence Research on Traffic Equilibrium Flow with Arc Capacity Constraints
摘要: 本文在概述Wardrop经典交通均衡原理及均衡流存在性基础判定方法的基础上，重点研究具弧容量约束场景下交通均衡流的存在性问题。通过将具弧容量约束的均衡条件转化为变分不等式问题，结合Fan-Browder不动点定理与紧凸集拓扑性质，证明了具弧容量约束交通均流存在性原理。
Abstract: Based on an overview of Wardrop’s classic traffic equilibrium principle and the basic determination methods for the existence of equilibrium flow, this paper focuses on studying the existence problem of traffic equilibrium flow under the scenario with arc capacity constraints. By transforming the equilibrium conditions with arc capacity constraints into a variational inequality problem, and combining the Fan-Browder fixed point theorem with the topological properties of compact convex sets, the existence principle of traffic equilibrium flow with arc capacity constraints is proved.
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