Derivation, Implementation and Examination of Logit Route Choice Model with Relative Impedance

In the paper, the modified Logit route choice models with relative impedance are presented to resolve the fixed variances problem of the traditional logit model. Therefore, the variances of perception error are relative to the route impedances. The classical variations of Logit models employing relative impedances are deduced. Three numerical tests show that the proposed models are more reasonable and robust than the traditional ones, and the modified PCL model with Probit equivalent impedances is the closest to theoretical results. The revised models have clear theoretical background, perform more rationally than traditional ones and still retain the advantage of easy computation, which makes them flexible in research and practical application.

摘要提出了一种基于相对阻抗的改进Logit模型，将判断误差的方差修正为与阻抗相关，克服了传统模型因同一分布而导致的等方差问题，并推导出基于相对阻抗的Logit模型的概率计算公式。给出了相对效用的概念在常见改进Logit独立相关性缺陷的模型中的应用，计算实例表明改进后的模型均能有效解决“长短路”问题，且物理意义明确、计算简单，具有良好的鲁棒性。