Interregional Transportation Modeling for the Far East of Russia Macro-region

The paper describes two mathematical models of trade flows among the territories of a region or country. First model uses the approach of modeling the complex communication system to determine the most probable values of trade flows in a case of incomplete information about the system. Second one is based on multi-commodity network flow equilibrium approach. Transport costs between the territories are modeled within the framework of gravity model. The payment for transportation depends on the distance between the regions, this distance is estimated as the shortest way length in a given transport network or geographical distance. The mathematical formulation of the problems belongs to the class of convex mathematical programming problems and assumes the numerical solution of nonlinear optimization problem with linear constraints. The paper demonstrates the simulation of interregional freight traffic of the Russian Far East region.