MATHEMATICAL MODELING OF CARGO FLOW DISTRIBUTIONIN A REGIONAL MULTIMODAL TRANSPORTATION SYSTEM

Abstract

An integrated approach is proposed in the study of rational schemes for the distribution of cargo flows at a regional transport loop for multimodal transportation, considered within the framework of an oligopolistic market. A technique has been developed for the parallel application of two approaches, differing in their mathematical nature, to the issues of increasing the economic efficiency of these transportations. The results obtained by the previously developed method of economic and geographical delimitationof «influence areas» of loading stations serve as a justification for the correctness of the results obtained by using an algorithm based on the Pareto optimization of the freighttransportation process. Rational variants for organizing the freight transportation, taking into account time and cost indicators, have been obtained. The system of analytical calculations is used as a software tool to obtain a mathematically sound and transport–logistic diversified model of a regional oligopolistic freight market.

Keywords

• multimodal freight transportation
• oligopolistic market
• method of economic–geographical delimitation
• cartesian ovals
• distribution of cargoflows
• pareto optimization
• multi-agent