M. P. Vashchenko, Ya. S. Pronin, A. A. Shananin, “A mathematical model of the economics of railway cargo transportation”, Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 4,Pages <nobr>44

A mathematical model of the economics of railway cargo transportation

M. P. Vashchenko^a, Ya. S. Pronin^b, A. A. Shananin^b

^a Dorodnitsyn Computing Centre of the Russian Academy of Sciences
^b Moscow Institute of Physics and Technology (State University)

Abstract: The transportation mathematical programming problem is modified for the analysis of the economics of railway cargo transportation in modern Russia. A variation principle in the form of a pair of mutually dual convex programming problems is constructed, and a competitive equilibrium in the railway transportation model is found from this principle. An approach to the analysis of imperfect competition, distribution of the intermediary's profit, and the role of communication constraints in a transportation network is proposed.

Keywords: public goods, cargo transportation model, communication constrains, Fenchel theorem, Legendre–Young–Fenchel transform, competitive equilibrium.

UDC: 519.87

Received: 09.07.2014