A general dynamic spatial price network equilibrium model with gains and losses

Networks ◽  
1989 ◽  
Vol 19 (7) ◽  
pp. 751-769 ◽  
Author(s):  
Anna Nagurney ◽  
Jay Aronson
Keyword(s):  
Equilibrium Model ◽  
Network Equilibrium ◽  
Spatial Price ◽  
Gains And Losses ◽  
General Dynamic

Generalized Wardrop Principle and Its Application in Regional Transportation

2008 ◽  
Vol 2085 (1) ◽  
pp. 49-56 ◽  
Author(s):  
Shengxue He ◽  
Bingquan Fan
Keyword(s):  
Network Optimization ◽  
Equilibrium Model ◽  
Transportation Network ◽  
Transportation Cost ◽  
Projection Algorithm ◽  
Network Equilibrium ◽  
Price Equilibrium ◽  
Spatial Price Equilibrium ◽  
Spatial Price ◽  
Wardrop Principle

Regional transportation can be regarded as a complex system consisting of many subsystems. If it is assumed that the decisions of others are known, one of the subsystems, such as a manufacturer, will make decisions from the viewpoint of individual optimal. But among these subsystems, there are noncooperative interactions. The first Wardrop principle can be used to explain the interplay between the subsystems and the second Wardrop principle to explain the internal decision making of one subsystem. To capture the feature of hierarchical behavior, classical Wardrop principles need to be generalized. The new behavior principle is named the generalized Wardrop principle. With the substitution of actual path sets for the simple links in a spatial price equilibrium network and constructing the generalized transportation cost functions, the regional transportation network equilibrium model is formulated. The new model combines the spatial price equilibrium model with the network optimization model. It can be explained by the generalized Wardrop principle and reflects the multicommodity, multimodal characteristics of regional transportation. The modified projection algorithm is used to solve the model. One numerical example is given to show the efficiency of the algorithm.

scholarly journals A regret-based route choice model with asymmetric preference in a stochastic network

2018 ◽  
Vol 10 (8) ◽  
pp. 168781401879323
Author(s):  
Lei Zhao ◽  
Hongzhi Guan ◽  
Xinjie Zhang ◽  
Xiongbin Wu
Keyword(s):  
Loss Aversion ◽  
Equilibrium Model ◽  
Choice Model ◽  
User Equilibrium ◽  
Stochastic User Equilibrium ◽  
Regret Minimization ◽  
Route Network ◽  
Travel Decision ◽  
Gains And Losses ◽  
Random Regret Minimization

In this study, a stochastic user equilibrium model on the modified random regret minimization is proposed by incorporating the asymmetric preference for gains and losses to describe its effects on the regret degree of travelers. Travelers are considered to be capable of perceiving the gains and losses of attributes separately when comparing between the alternatives. Compared to the stochastic user equilibrium model on the random regret minimization model, the potential difference of emotion experienced induced by the loss and gain in the equal size is jointly caused by the taste parameter and loss aversion of travelers in the proposed model. And travelers always tend to use the routes with the minimum perceived regret in the travel decision processes. In addition, the variational inequality problem of the stochastic user equilibrium model on the modified random regret minimization model is given, and the characteristics of its solution are discussed. A route-based solution algorithm is used to resolve the problem. Numerical results given by a three-route network show that the loss aversion produces a great impact on travelers’ choice decisions and the model can more flexibly capture the choice behavior than the existing models.

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