引入公共因子的Loigt型随机用户均衡模型
Stochastic User Equilibrium Assignment Model Incorporating Commonality Factor
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摘要: 交通分析模型中随机分配模型对误差项的IID假设既是简化计算的原因也是导致分配结果偏离实际的根本问题. 针对独立同分布假设影响分配结果的问题,提出了一种考虑选择肢之间相互影响作用的分配模型. 该模型通过在效用函数的确定项部分引入公共因子反映选择肢之间的相似度,通过数学推导证明该模型的解与随机用户平衡的解是一致的,以及解是唯一的,并采用连续平均(MSA)算法求解该模型. 最后以北京奥运公园局部路网的VISUM模型为实验区,对比分析了该模型与传统用户均衡模型在分配结果上的差异. 结果表明该模型能够反映选择肢间的影响,使得路径流量分布更均,更接近实际情况.Abstract: In the stochastic user equilibrium assignment model of transportation analysis, the assumption of independent and identical distribution (IID) was the reason for simplifying calculation while it is the fatal weakness as well. Aimed at this problem, an assignment model considering the interaction between alternatives in the choice set was proposed. This model introduced the commonality factor into the deterministic part of the utility function to capture the degree of similarity between the alternatives. And the uniqueness and equivalence conditions of the proposed model were proved by mathematical derivation. Moreover, the model was established by the method of successive average (MSA). Finally, network in Beijing Olympic Park was chosen as the trial plot to validate this method by the platform of VISUM. The assignment results of proposed model and traditional UE model were compared. The results indicated this model makes flows distributed more evenly between paths, which might be more close to practical situation.
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