固定需求交通网络的一般系统最优模型与性质

Generalized system optimal model and properties in traffic networks with fixed demand

考虑用户社会经济特征和收入水平的差异性,在固定需求异质用户交通网络中,构建了一般系统最优数学规划模型并给出了一阶最优性条件,该模型适用于任何连续或有限间断点分布的用户时间价值.进一步分析了一般系统与标准系统以及多用户类系统最优模型之间的关系.研究表明:当所有用户的时间价值一致时,一般系统最优模型退化为标准系统最优模型;当用户时间价值呈阶梯分布时,一般系统最优模型与多用户类系统最优模型是等价的.

Since network users have different socio-economic characteristics and different levels of income,this paper proposes a generalized system optimal model in traffic networks with fixed demand and then explicitly derives its first-order optimality conditions. The proposed model can deal withany continuously distributed value of time（ VOT） or finite discrete VOT. The relationships among the generalized system optimal model,standard system optimal model and multi-class cost-based system optimal model are investigated. It is found that,for the fixed demand traffic networks with homogeneous users,the generalized system optimal model degenerates into a standard system optimal model,and for traffic networks with multi-class users,the generalized system optimal model and multi-classes cost-based system optimal model are equivalent.