Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory

This paper applies the reference-dependent utility theory (RDUT) to model traveler's route choice behaviors under travel time variability and develops a user equilibrium (UE) model based on RDUT for stochastic traffic networks. The proposed model explicitly considers both the absolute utility (...

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Main Authors: Wei Wang, Xiujuan Liu, Lili Ding, Ge Gao, Hui Zhang
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8633825/
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author Wei Wang
Xiujuan Liu
Lili Ding
Ge Gao
Hui Zhang
author_facet Wei Wang
Xiujuan Liu
Lili Ding
Ge Gao
Hui Zhang
author_sort Wei Wang
collection DOAJ
description This paper applies the reference-dependent utility theory (RDUT) to model traveler's route choice behaviors under travel time variability and develops a user equilibrium (UE) model based on RDUT for stochastic traffic networks. The proposed model explicitly considers both the absolute utility (or consumption utility) and the relative utility (or gain-loss utility) in the travelers' path choice decision procedure. The former is determined by the stochastic path travel time while the latter is measured by the actual path travel time relative to a reference time point. Subsequently, the RDUT-based UE model, which can be equivalently formulated as a variational inequality problem and solved by a heuristic algorithm, is employed to explore how risk aversion and reference-dependent preference jointly determine network equilibrium patterns. Both the features and applicability of the proposed RDUT-UE model and the designed solution algorithm are demonstrated in two numerical examples. This paper further establishes an RDUT-based dynamic traffic system which incorporates commuters' learning, choosing, and renewing process in dynamic path choices and captures the day-to-day dynamic traffic flows. Another numerical example is presented to show how the dynamic traffic system evolves to the UE status.
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spelling doaj.art-ecc886f3f82f4050b0b9d4ddfb2fe6db2022-12-21T23:02:36ZengIEEEIEEE Access2169-35362019-01-017198661988010.1109/ACCESS.2019.28968798633825Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility TheoryWei Wang0Xiujuan Liu1Lili Ding2https://orcid.org/0000-0003-1915-1127Ge Gao3Hui Zhang4School of Economics, Ocean University of China, Qingdao, ChinaSchool of Economics, Ocean University of China, Qingdao, ChinaSchool of Economics, Ocean University of China, Qingdao, ChinaCollege of Transportation, Shandong University of Science and Technology, Qingdao, ChinaSchool of Transportation Engineering, Shandong Jianzhu University, Jinan, ChinaThis paper applies the reference-dependent utility theory (RDUT) to model traveler's route choice behaviors under travel time variability and develops a user equilibrium (UE) model based on RDUT for stochastic traffic networks. The proposed model explicitly considers both the absolute utility (or consumption utility) and the relative utility (or gain-loss utility) in the travelers' path choice decision procedure. The former is determined by the stochastic path travel time while the latter is measured by the actual path travel time relative to a reference time point. Subsequently, the RDUT-based UE model, which can be equivalently formulated as a variational inequality problem and solved by a heuristic algorithm, is employed to explore how risk aversion and reference-dependent preference jointly determine network equilibrium patterns. Both the features and applicability of the proposed RDUT-UE model and the designed solution algorithm are demonstrated in two numerical examples. This paper further establishes an RDUT-based dynamic traffic system which incorporates commuters' learning, choosing, and renewing process in dynamic path choices and captures the day-to-day dynamic traffic flows. Another numerical example is presented to show how the dynamic traffic system evolves to the UE status.https://ieeexplore.ieee.org/document/8633825/Reference-dependent utility theoryuser equilibriumabsolute utilityrelative utilitysystem evolution
spellingShingle Wei Wang
Xiujuan Liu
Lili Ding
Ge Gao
Hui Zhang
Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
IEEE Access
Reference-dependent utility theory
user equilibrium
absolute utility
relative utility
system evolution
title Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
title_full Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
title_fullStr Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
title_full_unstemmed Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
title_short Stochastic Network User Equilibrium and Traffic System Evolution Based on Reference-Dependent Utility Theory
title_sort stochastic network user equilibrium and traffic system evolution based on reference dependent utility theory
topic Reference-dependent utility theory
user equilibrium
absolute utility
relative utility
system evolution
url https://ieeexplore.ieee.org/document/8633825/
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AT xiujuanliu stochasticnetworkuserequilibriumandtrafficsystemevolutionbasedonreferencedependentutilitytheory
AT liliding stochasticnetworkuserequilibriumandtrafficsystemevolutionbasedonreferencedependentutilitytheory
AT gegao stochasticnetworkuserequilibriumandtrafficsystemevolutionbasedonreferencedependentutilitytheory
AT huizhang stochasticnetworkuserequilibriumandtrafficsystemevolutionbasedonreferencedependentutilitytheory