This study considers a nonlinear optimization problem used to achieve user equilibrium in the network traffic assignment problem. By providing the Karush Kuhn Tucker conditions of this optimization problem, it is converted into a system of differential equations using the Lagrange function. This system is then redefined as a Lagrange neural network, which is proven to be asymptotically and lyapunov stable. Finally, a numerical method are used to demonstrate that the results obtained from this neural network are a solution to the optimization problem and converge to user equilibrium.
Network traffic assignment graph theory dynamical systems lagrange neural network
Birincil Dil | İngilizce |
---|---|
Konular | Uygulamalı Matematik |
Bölüm | Makale |
Yazarlar | |
Yayımlanma Tarihi | 29 Aralık 2023 |
Gönderilme Tarihi | 28 Mart 2023 |
Kabul Tarihi | 18 Ekim 2023 |
Yayımlandığı Sayı | Yıl 2023 |
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.