基于两阶段行程时间的交通流分配理论

针对目前静态交通流分配理论难以处理网络流量演化的问题，给出了基于交通流 反λ 基本图的流量分配新模型.通过不断求解新模型更新路段交通状态，明确了利用静态交通 流分配模型分析网络交通流演变的具体方法.假设网络路段均处于自由流状态，通过求解得到 平衡路段流量，判断是否达到临界流量.将路段流量达到临界流量的路段设定为拥挤状态，重 新求解平衡流量，判断是否仍存在达到临界流量的路段.依据上述思路，直到新的模型无解或 无新的路段达到临界流量.本文通过定义网络不同级别的拥挤瓶颈，完成对网络流量演化的分 析描述.算例验证了新模型与方法的可行性.新理论提供了分析网络交通状态演变的新思路， 拓展了静态交通流分配理论.

Traffic Assignment Theory Based on Two-stage Travel Time

To overcome the shortage of existing static traffic assignment theories with respect to dealing with the network flow evolution, a new traffic assignment model based on the inverse lambda fundamental diagram is presented. Through continuously solving the new model and renew the traffic flow states of links, the method of analyzing the evolution of network traffic flow based on the new static traffic assignment model is clarified. At first assume that all links stay at free flow state and obtain the equilibrium link flow. If some links reach critical flow, set their state to congestion and resolve the model to obtain new equilibrium flows. Following the similar way, deal with new situation until the model is infeasible or no link reaches critical flow. By defining the different levels of congestion bottlenecks, the analysis of evolution of network flow is finished. Numerical example demonstrates the feasibility of the new model and method. The new theory provides a new way to analyze network flow evolution and extends the existing static traffic assignment theories.