路网下的收费道路分车型费率优化双层规划模型

本文以收费道路及相邻道路组成的路网为研究对象，利用双层规划理论建立起路网下的分车型费率优化模型，上层规划表述路网管理者追求社会效益最大化的思想，并以实现道路经营者财务目标作为约束条件，下层规划采用多车型多准则交通均衡模型来预测路网下的交通流量，通过模型求解可以获得各收费路段的分车型最优收费费率以及相应的路网交通流量，文中介绍了利用遗传模拟退火混合算法对模型进行求解的步骤，最后以一个算例对模型的效果以及考虑道路使用者差异的必要性进行了验证说明。

A Study on Multi-class Toll Rate Optimal Model for Road Network

In this paper we proposed a toll rate optimal model for road network based on the bi-level programming method, the up-level program describe the objective of network management to maximum the social welfare, and restrained by proprietors’ REV, and low-level program is a multi-class multi-criterion traffic equilibrium model to forecast the traffic volume on the networks. To calculate this model the optimal charge rate of each toll road for different vehicle class and corresponding traffic assignment result can be obtained. Also, a GASA solution algorithm for the proposed model was introduced. Finally， a numerical example was also presented to illustrate the benefit of this model and the important of vehicle classification.