多用户多模式多准则随机用户均衡模型

摘要

在网络中存在多类用户和多种模式,每一类用户按照出行时间和出行费用2个准则共同选择模式和路径,且不同模式间阻抗的相互影响满足对称条件的前提下,建立了多用户多模式多准则的随机用户网络均衡模型,用一个等价最小凸规划公式来表示这一混合均衡状态,并证明了所构建的数学规划公式与基于Logit的随机用户均衡条件的等价性,进一步证明了模型最优解的存在性和惟一性条件.最后用一个简单算例表明了所构建的模型的正确性和可行性.%A multi-user multi-mode multi-criteria stochastic user equilibrium model is established, under the hypothesis that there are many categories of users and modes in the network, every category chooses modes and paths based on two criteria : travel time and travel cost, and different modes have symmetry effects on each other. An equivalent mathematical programming problem is used to show the mixed equilibrium status. Then the equivalence of the problem and the equilibrium conditions and the existence and uniqueness the optimum solution are proved. A simple illustration is used to prove the correctness and feasibility of the model.