A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit | Zendy

Dongmei Yan | Zendy; Yang Yang | Zendy

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A Stochastic User Equilibrium Formulation for the Cumulative Prospect Theory-Based Cross-Nested Logit

Author(s) -

Dongmei Yan,

Yang Yang

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/9929015

Subject(s) - cumulative prospect theory , equivalence (formal languages) , nested logit , logit , path (computing) , computer science , mathematical optimization , value (mathematics) , logistic regression , mathematics , econometrics , statistics , expected utility hypothesis , discrete mathematics , programming language

The cumulative prospect theory provides a better description for route choice behavior of the travelers in an uncertain road network environment. In this study, we proposed a multiclass cumulative prospect value- (CPV-) based cross-nested logit (CNL) stochastic user equilibrium (SUE) model. For this model, an equivalent variational inequality (VI) model is provided, and the existence and equivalence of the model solutions are also proved. The method of successive averages (MSA), method of successive weighted averages (MSWA), and self-regulated averaging (SRA) method are designed and compared. In addition, the proposed multiclass CPV-based CNL SUE model is also compared with the multiclass utility value- (UV-) based CNL SUE model. The results show that the path flow assigned by the multiclass CPV-based CNL SUE model is more consistent with the actual situation. The impact of different model parameters on the cumulative prospect value (CPV) is investigated.

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