A Cumulative Prospect Theory-Based Network Equilibrium Model Considering Travelers’ Heterogeneous Reference Points

CICTP 2016 ◽  
2016 ◽  
Author(s):  
Zhi-Ting Liu ◽  
Li-Jun Tian
2021 ◽  
pp. 1-18
Author(s):  
Jie Xu ◽  
Jian Lv ◽  
Hong-Tai Yang ◽  
Yan-Lai Li

The video conferencing software is regarded as a significant tool for social distancing and getting incorporations up and going. Due to the indeterminacy of epidemic evolution and the multiple criteria, this paper proposes a video conferencing software selection method based on hybrid multi-criteria decision making (HMCDM) under risk and cumulative prospect theory (CPT), in which the criteria values are expressed in various mathematical forms (e.g., real numbers, interval numbers, and linguistic terms) and can be changed with natural states of the epidemic. Initially, the detailed description of video conferencing software selection problem under an epidemic are given. Subsequently, a whole procedure for video conferencing software selection is conducted, the approaches for processing and normalizing the multi-format evaluation values are presented. Furthermore, the expectations provided by DMs under different natural states of the epidemic are considered as the corresponding reference points (RP). Based on this, the matrix of gains and losses is constructed. Then, the prospect values of all criteria and the perceived probabilities of natural states are calculated according to the value function and the weighting function in CPT respectively. Finally, the proposed method is illustrated by an empirical case study, and the comparison analysis and the sensitivity analysis for the loss aversion parameter are conducted to prove the effectiveness and robustness. The results show that considering the psychological characteristics of DMs in selection decision is beneficial to avoid the unacceptable and potential loss risks. This study could provide a useful guideline for managers who intend to select appropriate video conferencing software.


2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Xueqin Long ◽  
Liancai Zhang ◽  
Shanshan Liu ◽  
Jianjun Wang

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.


Author(s):  
Junxiang Xu ◽  
Jingni Guo ◽  
Jin Zhang ◽  
Weihua Liu ◽  
Hui Ma

Aiming at the problem where the dynamic adjustment of reference points under the impact of decision makers’ emotions may lead to different decision-making results, this research proposes a multi-stage emergency decision-making method with the emotion updating mechanism of decision makers. The method of setting dynamic reference points under the influence of decision-makers' emotions is given in this study, and the scenario value of each stage of emergency is calculated by using cumulative prospect theory, so as to describe the emotion renewal mechanism of decision-makers. The scenario weights of each stage are calculated, and the prospect values of alternatives at each stage are calculated according to the prospect value, input costs and start-up time values of the alternatives. Furthermore, by giving a calculation method of the weight of each stage, the overall values of the alternatives are calculated and the ranking of the alternatives is given. Taking Sichuan Tibet emergency rescue in China as an case analysis, the scientific rationality of the theory proposed in this paper is verified.


2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Xueqin Long ◽  
Chenxi Hou ◽  
Shanshan Liu ◽  
Yuejiao Wang

Aiming at the influence of information, we investigate and analyze the sequential route choice behavior under dynamic reference points based on cumulative prospect theory in this paper. An experiment platform collecting the sequential route choices based on C/S structure is designed and four types of information are released to participants, respectively. Real-time travel time prediction methods are then proposed for travelers’ decision-making. Using nonlinear regression method, the parameters of the value function and weight function of cumulative prospect theory are estimated under different types of information, respectively. It is found that travelers’ behavior showed obvious characteristic of risk pursuit under the circumstance where real-time travel time information is released. Instead, when they have access to descriptive information, they tend to be more conservative.


2020 ◽  
pp. 1-15
Author(s):  
Junxiang Xu ◽  
Jingni Guo ◽  
Jin Zhang ◽  
Weihua Liu ◽  
Hui Ma

In order to study the influence of travelers’ self-adaptive adjustment behavior on transportation network under the assumption of bounded rationality, using cellular automaton to discretize the selection model under the analytic paradigm in the existing research, abstract each cell into a traveler, and describe the traveler characteristics with finite rationality characteristics through the travel risk attitude and travel generalized cost budget. Cellular automata and cumulative prospect theory is used to establish the travel route choice model, giving the dynamic evolution process of different reference points for travelers and taking the actual regional transportation network of Sichuan Tibet region in China as the study object, analyzes the impact of bounded rational travel behavior on route choice. The model and algorithm proposed in our study can not only guide the transportation organization of Sichuan Tibet region, but also provide theoretical support for the implementation of regional transportation planning and traffic control scheme in the future.


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