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一类弹性需求混合均衡交通分配的效率损失

余孝军 李佳

华东交通大学学报2017,Vol.34Issue(3):60-65,6.
华东交通大学学报2017,Vol.34Issue(3):60-65,6.

一类弹性需求混合均衡交通分配的效率损失

On Efficiency Loss of a Mixed Equilibrium under Elastic Demand

余孝军 1李佳1

作者信息

  • 1. 贵州财经大学数统学院,贵州 贵阳 550025
  • 折叠

摘要

Abstract

The mixed equilibrium traffic assignment is caused by the route choice principle of different users in transportation network. Selfish users always choose paths with minimum actual travel cost while altruistic users choose paths with minimum perceived travel cost which is a linear combination of the actual and marginal travel costs. Firstly, a variational inequality model to depict the mixed traffic assignment with selfish and altruistic users under elastic demand was developed. Secondly, the upper bound of this mixed equilibrium traffic assign-ment with polynomial cost function was derived by the nonlinear programming method and the relation between the upper bound and the network parameters was obtained. The results showed that the upper bound of efficiency loss is independent with network topology but relates to the degree of the link travel cost functions and the maxi-mum and minimum altruism coefficient.

关键词

自私用户/利他用户/弹性需求/变分不等式/效率损失

Key words

selfish user/altruistic user/elastic demand/variational inequality/efficiency loss

分类

交通工程

引用本文复制引用

余孝军,李佳..一类弹性需求混合均衡交通分配的效率损失[J].华东交通大学学报,2017,34(3):60-65,6.

基金项目

国家自然科学基金项目(71161005) (71161005)

贵州省教育厅"125"重大科技专项项目(黔教合重大专项字[2012]011号) (黔教合重大专项字[2012]011号)

华东交通大学学报

OACSTPCD

1005-0523

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