A Finsler Geometrical Programming Approach to the Nonlinear Complementarity Problem of Traffic Equilibrium

Abstract

AbstractWe consider a geometrical approach to the optimisation problems motivated by transportation system management. Here, we provide a comprehensive account of geometric programming based on the elementary Finsler geometry in $${\mathbb {R}}^n$$ R n . Then, we present a Finslerian dynamical model for the nonlinear complementarity problem of traffic equilibrium that can be applied to a variety of equilibrium problems.