Abstract
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.
Highlights
Traffic assignment is a foundational problem in transportation research
Stochastic user equilibrium (SUE) model is an important method of traffic assignment. e route choice model is the key of the SUE model. e multinomial logit (MNL) model is typically used in the route choice model due to its simple mathematical structure
There is no research on embedding the cumulative prospect theory into the crossnested logit (CNL) model framework in the SUE modeling process. us, the objective of this study is to propose a multiclass cumulative prospect value (CPV-) based CNL SUE model through using CPV replacing utility value (UV) as path performance. e equivalent variational inequality (VI) model and associated solution algorithm are provided. e Nguyen–Dupuis network is selected to compare the path flow assigned by the multiclass cumulative prospect value- (CPV-)based CNL SUE model and the multiclass utility value- (UV-)based CNL SUE model. e computational efficiency of the three algorithms, i.e., the method of successive averages (MSA) [17], the method of successive weighted averages (MSWA) [18], and the self-regulated averages (SRA) [19], are compared
Summary
Traffic assignment is a foundational problem in transportation research. Stochastic user equilibrium (SUE) model is an important method of traffic assignment. e route choice model is the key of the SUE model. e multinomial logit (MNL) model is typically used in the route choice model due to its simple mathematical structure. The MNL model has the property of independence of irrelevant alternatives (IIA) [1], that is, it does not consider the similarities between different paths To this end, the crossnested logit (CNL) model is developed to deal with this problem [2]. The SUE model based on the CNL route choice has been studied. Du et al [5] developed a path-based traffic assignment algorithm to solve the CNL SUE model by using the Barzilai–Borwein (BB) step size. There is no research on embedding the cumulative prospect theory into the CNL model framework in the SUE modeling process. Us, the objective of this study is to propose a multiclass cumulative prospect value (CPV-) based CNL SUE model through using CPV replacing utility value (UV) as path performance.
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