Capacitated Network Traffic Assignment using Lagrange Neural Networks

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European Journal of Technique
Volume:13 Issue:2
Capacitated Network Traffic Assignment using Lagrange Neural Networks

Capacitated Network Traffic Assignment using Lagrange Neural Networks

Pages : 81-87

View : 100 | Download : 116

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

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