Preliminary communication

Efficiency Loss of Mixed Equilibrium Associated with Altruistic Users and Logit-based Stochastic Users in Transportation Network

Xiao-Jun Yu ; Guizhou University of Finance and Economics, Guiyang，Guizhou 550004, China
Chun-Hua Fang ; Hunan Institute of Science and Technology, xueyang, Hunan 414006, China

Abstract

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.

Keywords

efficiency loss; mixed equilibrium; variational inequality; system optimum; demand ratio

Hrčak ID:

124148

URI

https://hrcak.srce.hr/124148

Publication date:

28.2.2014.

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