# A Finsler Geometrical Programming for the Nonlinear Complementarity Problem of Traffic Equilibrium

arXiv: https://arxiv.org/abs/2109.01256 · HTML: https://mlsanity.com/paper/2109.01256/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 3 Sep 2021.

## Built on by (most cited first, 2 of 2)

- [Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations](https://mlsanity.com/paper/2605.02279/) (2026)
- [A Finslerian Approach for Embedding Directed Data](https://mlsanity.com/paper/2609.37649/) (2026)

## Abstract (arXiv)

This work is a geometrical approach to the optimization problem motivated by transportation system management. First, an attempt has been made to furnish a comprehensive account of geometric programming based on the elementary Finsler geometry in I!!Rn. Then, a Finslerian dynamical model for the nonlinear complementarity problem of traffic equilibrium is presented that may be applied for different equilibrium problems.