Analysis of tariff policy of a railway cargo transportation

TL;DR

This paper models railway cargo transportation as a competitive equilibrium, reducing the problem to dual convex optimization problems and interpreting optimal policies via Lagrange multipliers.

Contribution

It introduces a novel approach linking equilibrium analysis with convex optimization and Lagrange multipliers in railway cargo transportation.

Findings

Equilibrium characterized by dual convex optimization problems

Optimal traffic policies derived from Lagrange multipliers

Framework applicable to competitive railway cargo markets

Abstract

We describe a competetive equillibrium in a railway cargo transportation model. We reduce the problem of finding this equillibrium to the solution of to mutually dual convex optimization problems. According to L.V. Kantorvich we interpret an optimal traffic policy for the model in terms of Lagrange multipliers.