Efficiency Loss of Mixed Equilibrium Associated with Altruistic Users and Logit-based Stochastic Users in Transportation Network
Efficiency Loss of Mixed Equilibrium Associated with Altruistic Users and Logit-based Stochastic Users in Transportation Network
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DOI：
10.7307/ptt.v26i1.718
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发表时间：
2014-02
影响因子：
1
通讯作者：
Xiao-Jun Yu;Chun-Hua Fang
中科院分区：
文献类型：
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作者：
Xiao-Jun Yu;Chun-Hua Fang
研究了两类用户的混合均衡效率损失问题。第一类用户是利他型用户（altruistic user， AU），他们具有相同的利他系数，并试图将自己的感知成本最小化，该感知成本假设为自私成分和利他成分的线性组合。第二类用户是基于logit的随机用户（LSU），他们根据基于logit的随机用户均衡（SUE）原理选择路径。采用变分不等式（VI）模型，对非盟和LSU的混合路径选择行为进行了分析。对两类用户造成的效率损失进行了解析推导，并讨论了效率损失与某些网络参数的关系。数值试验验证了我们的分析结果。我们的结果以已有文献中的结果为特例。
The efficiency loss of mixed equilibrium associated with two categories of users is investigated in this paper. The first category of users are altruistic users (AU) who have the same altruism coefficient and try to minimize their own perceived cost that assumed to be a linear combination of selfish component and altruistic component. The second category of users are Logit-based stochastic users (LSU) who choose the route according to the Logit-based stochastic user equilibrium (SUE) principle. The variational inequality (VI) model is used to formulate the mixed route choice behaviours associated with AU and LSU. The efficiency loss caused by the two categories of users is analytically derived and the relations to some network parameters are discussed. The numerical tests validate our analytical results. Our result takes the results in the existing literature as its special cases.