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

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Dongmei Yan ◽  
Yang Yang
Keyword(s):  
Prospect Theory ◽  
User Equilibrium ◽  
Cumulative Prospect Theory ◽  
Model Parameters ◽  
Nested Logit ◽  
Stochastic User Equilibrium ◽  
Weighted Averages ◽  
Route Choice Behavior ◽  
Method Of Successive Averages ◽  
The Impact

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.

scholarly journals A Multiclass Cumulative Prospect Theory-Based Stochastic User Equilibrium Model with Path Constraints in Degradable Transport Networks

2021 ◽  
Vol 33 (5) ◽  
pp. 775-787
Author(s):  
Dongmei Yan ◽  
Jianhua Guo
Keyword(s):  
Prospect Theory ◽  
Expected Utility Theory ◽  
User Equilibrium ◽  
Cumulative Prospect Theory ◽  
Stochastic User Equilibrium ◽  
Multiple User ◽  
Range Anxiety ◽  
Method Of Successive Averages ◽  
Stochastic Travel Times ◽  
Distance Limit

The limited driving range and the unavailability or insufficiency of battery charging/swapping stations cause the so-called range anxiety issue for traffic assignment involving battery electric vehicle (BEV) users. In addition, expected utility theory-based stochastic user equilibrium (EUT-SUE) model generates the perfectly rational issue when the travellers make route choice decisions. To tackle these two problems, this article improves the cumulative prospect theory-based stochastic user equilibrium (CPT-SUE) model in a degradable transport network through incorporating the constraints of multiple user classes and distance limit. In this degradable network, the travellers experience stochastic travel times due to network link capacity degradations. For this improved CPT-SUE model, the equivalent variational inequality (VI) model and associated method of successive averages (MSA) based solution are provided. The improved CPT-SUE model is tested and compared with the EUT-SUE model with distance limit, with results showing that the improved CPT-SUE model can handle jointly the range anxiety issue and the perfectly rational issue.

scholarly journals Research on Decision-Making Behavior of Discretionary Lane-Changing Based on Cumulative Prospect Theory

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Xueqin Long ◽  
Liancai Zhang ◽  
Shanshan Liu ◽  
Jianjun Wang
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Real Data ◽  
Cumulative Prospect Theory ◽  
Reference Points ◽  
Model Parameters ◽  
Lane Changing ◽  
Actual Observation ◽  
The Difference ◽  
Lane Keeping

In this paper, the decision-making model of discretionary lane-changing is established using cumulative prospect theory (CPT). Through analyzing the vehicles’ dynamic running states, safety spacing calculating approaches for discretionary lane-changing and lane-keeping have been put forward firstly. Then, based on CPT, a lane-changing decision model with accelerating space as its utility is proposed by estimating the difference between actual spacings and the safety spacings for discretionary lane-changing as well as lane-keeping. In order to calculate the utility of discretionary lane-changing, dynamic reference points and a parameter representing driver’s risk preference are introduced into the model. With the real data collected from an urban expressway, the distribution of discretionary lane-changing duration is analyzed, and the model parameters are also calibrated. Furthermore, the applicability of the model is evaluated by comparing with the actual observation and random unity model. Finally, the sensitivity analysis of the model is carried out, that is, assessing the influence degree of each variable on the decision result. The study reveals that the CPT-based model can describe discretionary lane-changing behavior more accurately, which consider drivers’ risk-aversion during decision-making.

Stochastic Traffic Assignment Model Based on Travel Time Reliability

2011 ◽  
Vol 130-134 ◽  
pp. 3716-3720
Author(s):  
Yi Ran Cheng ◽  
Yin Han ◽  
Xin Kai Jiang ◽  
Jia Lei Gu
Keyword(s):  
Travel Time ◽  
Equilibrium Model ◽  
Choice Behavior ◽  
Transportation Networks ◽  
Route Choice ◽  
User Equilibrium ◽  
Travel Time Reliability ◽  
Stochastic User Equilibrium ◽  
Model Based ◽  
Route Choice Behavior

Considering the un-deterministic transportation networks, the paper proposes the change of the route choice decisions under the stochastic transportation networks. The route choice behavior is described as a choice for a time shortest route which is subject to a time-reliability level. The paper also considered this new route choice behavior in the stochastic user equilibrium model, and proposed stochastic user equilibrium model based on the optimized reliability travel time route choice behavior in the stochastic networks. The equivalence and uniqueness of the solution of the model are demonstrated. Numerical results of a small network show that the proposed model can reflect the real traveler’s route choice behavior in stochastic transportation networks.

A Congestion Bottleneck Analysis Model for Tourist Block Street Network

2020 ◽  
pp. 2050054
Author(s):  
Xiaoqin Dong ◽  
Xianbin Sun ◽  
Jiangquan He ◽  
Xiaofeng Yan
Keyword(s):  
Large Degree ◽  
User Equilibrium ◽  
Path Selection ◽  
Tourism Industry ◽  
Stochastic User Equilibrium ◽  
Analysis Model ◽  
Effective Prevention ◽  
The Road ◽  
Route Choice Behavior ◽  
Bottleneck Analysis

The development of the tourism industry has led to increased pressure of people flow in tourist blocks. Therefore, it is critical to ease the traffic pressure in these blocks. This paper aims to identify the bottleneck links of street networks in tourist blocks to achieve the effective prevention of congestion accidents. A logit stochastic user equilibrium model combined with spatial syntax is presented to study the travelers’ route choice behavior. The nonlinear Bureau of Public Roads function is applied to calculate the time impedance of each street. A case analysis of the Chongqing Ciqikou tourist block shows that the bottleneck link has the features of high integration and a large degree of negative time impedance evolution. The research’s results are more consistent with practical circumstances because the influence of the road network topological structure on pedestrian path selection has been considered.

scholarly journals The impact of CAP policy in farmer's behavior – A modeling approach using the Cumulative Prospect Theory

2012 ◽  
Vol 34 (1) ◽  
pp. 81-98 ◽  
Author(s):  
Luís Alberto Godinho Coelho ◽  
Cesaltina Maria Pacheco Pires ◽  
Andreia Teixeira Dionísio ◽  
Amílcar Joaquim da Conceição Serrão
Keyword(s):  
Prospect Theory ◽  
Cumulative Prospect Theory ◽  
Modeling Approach ◽  
The Impact
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