多用户多准则固定需求随机交通均衡变分模型

A Multiclass and Multicriteria Stochastic Traffic Network Equilibrium Variational Inequality Model with Fixed Demand

运用变分不等式理论,针对非对称费用函数下准则权重与出行者类别相关的多准则路径选择问题,建立了具有固定需求量的多用户多准则随机交通均衡配流模型,分析了均衡流量的存在性和唯一性条件,由于广义路段出行成本受到路段之间流量的相互影响,可将相继平均法进行推广来求解该交通均衡的变分问题。给出了相继平均法的执行步骤和计算实例。

Based on variational inequality theory, a multiclass, multicriteria stochastic traffic network equilibrium model with fixed demand is obtained, under the assumption that the criteria weights are class-dependent and the cost functions are unsymmetrical.The qualitative analysis, such as existence and uniqueness, is studied. Since generalized road-transit-cost is affected each other by roadflow, MSA （ Method of Successive Averages） algorithm can be extended to solve the variational inequality problem of this traffic network equilibrium. The process of this algorithm and an example are put forward.