Capacitated Network Traffic Assignment using Lagrange Neural Networks

Authors : Hasan Dalman

Pages : 81-87

Doi:10.36222/ejt.1320824

View : 93 | Download : 109

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :In this study, we utilize a neural network methodology to obtain user equilibrium for network traffic assignment problems with capacity constraints. The optimization problem associated with network traffic assignment is first transformed into a Lagrange problem. By considering the gradient method, a system of differential equations is obtained. Subsequently, the system of differential equations is solved using the Runge-Kutta method. The effectiveness of the proposed neural network approach is demonstrated through a numerical example.
Keywords : Nonlinear Optimization, Neural Dynamics, Traffic assignment, Neural Networks