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Abstract
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Article Information:
Feasible and Descent Direction Method for Continuous Equilibrium Network Design Problem
Aihua Luo, Zhengshun Ruan, Chongchao Huang and Hua Chen
Corresponding Author: Hua Chen
Submitted: May 04, 2012
Accepted: June 08, 2012
Published: November 15, 2012 |
Abstract:
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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
assignment principle and is unique. So mathematical program with equilibrium constraints can be written
as an implicit optimization problem and the gradient of objective function is received by sensitivity
analysis. A feasible and descent direction method is addressed where the direction can be computed with
the sign of gradient and the step size can be calculated by operation of comparison. Finally, numerical
experiments are conducted and calculation results show high efficiency of the proposed method in solving
asymmetric equilibrium network design problem.
Key words: Continuous network design, feasible and descent direction method, stochastic user equilibrium, , , ,
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Cite this Reference:
Aihua Luo, Zhengshun Ruan, Chongchao Huang and Hua Chen, . Feasible and Descent Direction Method for Continuous Equilibrium Network Design Problem. Research Journal of Applied Sciences, Engineering and Technology, (22): 4819-4824.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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