Continuous Network Design Based on the Paired Combinatorial Logit Sto- chastic User Equilibrium Model
نویسندگان
چکیده
In order to design the traffic network more accurately, the bi-level programming model for the continuous network design problem based on the paired combinatorial Logit stochastic user equilibrium model is proposed in this study. In the model, the paired combinatorial Logit stochastic user equilibrium model which is used to characterize the route choice behaviors of the users is adopted in the lower level model, and the minimum summation of the system total costs and investment amounts is used in the upper objective function. The route-based self-regulated averaging (SRA) algorithm is designed to solve the stochastic user equilibrium model and the genetic algorithm (GA) is designed to get the optimal solution of the upper objective function. The effectiveness of the proposed combining algorithm which contains GA and SRA is verified by using a simple numerical example. The solutions of the bi-level models which use the paired combinatorial Logit stochastic user equilibrium model in the lower level model with different demand levels are compared. Finally, the impact of the dispersion coefficient parameter which influences the decision results of the network design problem is analyzed.
منابع مشابه
Computation and application of the paired combinatorial logit stochastic user equilibrium problem
The paired combinatorial logit (PCL) model is one of the recent extended logit models adapted to resolve the overlapping problem in the route choice problem, while keeping the analytical tractability of the logit choice probability function. However, the development of efficient algorithms for solving the PCL model under congested and realistic networks is quite challenging, since it has large-...
متن کاملOn Calibration and Application of Logit-Based Stochastic Traffic Assignment Models
There is a growing recognition that discrete choice models are capable of providing a more realistic picture of route choice behavior. In particular, influential factors other than travel time that are found to affect the choice of route trigger the application of random utility models in the route choice literature. This paper focuses on path-based, logit-type stochastic route choice models, i...
متن کاملNetwork capacity with probit-based stochastic user equilibrium problem
Among different stochastic user equilibrium (SUE) traffic assignment models, the Logit-based stochastic user equilibrium (SUE) is extensively investigated by researchers. It is constantly formulated as the low-level problem to describe the drivers' route choice behavior in bi-level problems such as network design, toll optimization et al. The Probit-based SUE model receives far less attention c...
متن کاملA continuous network design model in stochastic user equilibrium based on sensitivity analysis
The continuous network design problem (CNDP) is known to be difficult to solve due to the property of non-convexity and nonlinearity. Such kind of CNDP can be formulated as a bi-level programme, which may be classified into Stackelberg approach and Nash one according to the relationship between the upper level and the lower level parts. This paper formulates the CNDP for road expansion based on...
متن کاملFeasible and Descent Direction Method for Continuous Equilibrium Network Design Problem
In this study, we firstly express the stochastic user equilibrium traffic assignment problem in asymmetric traffic network as variation inequality model and then formulate ntinuous network design problem as mathematical program with equilibrium constraints. When path flow travel cost function is continuous, differentiable and strong monotone, the solution of variational inequality follows logit...
متن کامل