Capacitated Network Traffic Assignment using Lagrange Neural Networks

Year 2023, Volume: 13 Issue: 2, 81 - 87, 31.12.2023

Hasan Dalman

https://doi.org/10.36222/ejt.1320824

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

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