改进的Logit随机路径选择模型及其算法实现

Amelioration of the Logit Model and the solution of the Traffic Assignment Problem

在交通分配问题中 ,路径出行成本是与流量相关的函数 ,使用Logit随机路径选择模型进行配流计算会带来一定的误差 ,而随机均衡配流模型及算法都比较复杂 ,模型的应用受到一定的限制。因此对Logit随机路径选择模型进行了改进 ,并用逐次分配算法成功实现求解 ,还对求解结果进行了对比分析。改进后的模型同原模型相比 ,简单直观、假设合理、易于求解 ,同时考虑了出行成本与流量的关系 ,对于交通拥挤的配流问题同样适用 ,因而具有广泛的应用前景。

Resolving traffic assignment problems with a logit model will result in some error because of the correlation of the trip cost and the flux, whereas the application of the random equilibrium assignment model is confined for its complex arithmetic. An amelioration of the logit model and a step by step arithmetic are implemented. The improved model is simple, rational and easily resoluted and the relationship of the trip cost and flux is also considered, therefore, it is applicable for the congested assignment problem and possesses widely applying prosperity.