Modeling of the Rail Freight Traffic by the Method of Economic-Geographical Delimitation in the Region of the South-Easter Coast of the Baltic Sea

Abstract

The results of further research on the creation of a mathematical model of railway freight traffic carried out in a regional transport and technological system are presented. The proposed logistic approach is applied to the issues of optimizing the management of transportation directed to ports located on the southeast coast of the Baltic Sea. Built on the basis of a comprehensive assessment of the transport infrastructure of the region under consideration and the performance of the operating company, the mathematical model provides ample opportunities to address issues of regulating of transportation. The method of economic and geographical delimitation of the «influence areas» of loading stations is significantly developed both in terms of using the geometric properties of higher order algebraic curves and in terms of a deeper approach to studying the transportation process. The results of the research can serve as one of the basis for improving the economic efficiency of the functioning of international transport corridors in the framework of multimodal transport.

Mathematical methods in studying the territorial oligopolistic market of freight transportation

“…The issues of studying the efficiency of multimodal cargo transportation, including transshipment in seaports, have been the subject of many recent studies (see, for example, [1][2][3][4][5][6][7][8][9][10]). The globalization of transport processes, accompanied by pervasive digitalization, as well as differences in the goals and objectives of the participants in these processes, lead to the need for a deeper and more comprehensive study of them.…”

“…In [6], a general approach was developed in the study of the oligopolistic market of cargo transportation, in which an economic-geographical model is built for the transport area under consideration, which makes it possible to identify the «influence areas» of loading stations. The resulting territorial picture of the delimitation of cargo flows in the region makes it possible to formulate recommendations when choosing rational distributions of these flows to the unloading stations.…”

“…This paper develops an approach to the study of the efficiency of the freight transport process, which combines two methods of different mathematical nature, mentioned in the above review. The first method [6], based on the principles of analytical geometry, allows you to build an economic-geographic model of the oligopolistic territorial transportation market for the considered transport loop. The application of the second method [7] consists in solving a multicriteria transport problem posed for the considered transport and technological system in the form of an integer programming problem.…”

“…In this case, the initial numerical data are used, which characterize the traffic flow of grain cargo between loading stations and unloading stations, presented above in table 1. Based on the expressions found for the cost of transportation, we further apply the method of economic-geographical differentiation of the «influence areas» of loading stations, developed in [6].…”

“…Found specific expressions of dependence are given in table 2. Note that the linear form of the considered dependence is manifested for various cargoes and ranges of their transportation [6], that is, it has a very stable character. Let us pay attention to the fact that, as in a number of previously considered situations, the difference between loading stations is manifested not only in the cost of initial and final operations, but also in the cost of motion operations.…”