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Study of flow dynamics in the model of cargo transportation organization along a circular chain of stations
 
PIIS042473880013024-5-1
DOI10.31857/S042473880013024-5
Publication type Article
Status Published
Authors
Nerses Khachatryan 
Occupation: Deputy Director for Research, Central Economics and Mathematics Institute RAS
Affiliation: Central Economics and Mathematics Institute, Russian Academy of Sciences
Address: Moscow, Russian Federation
Levon Beklaryan
Affiliation: Central Economics and Mathematics Institute, Russian Academy of Sciences
Address: Russian Federation, Moscow
Journal nameEkonomika i matematicheskie metody
EditionVolume 57 Issue 1
Pages83-91
Abstract

 

The article is devoted to the construction and study of a model for organizing railway cargo transportation along a circular chain of stations. Each station is characterized by a certain number of roads, each of which can be involved at any time, as well as the efficiency of their use. Cargo traffic is carried out using two technologies. The first technology is based on the interaction of neighboring stations and sets the intensity of the flow between them, depending on the ratio of free roads on them and the normative coefficient characterizing the capacity of railway tracks (sections of the railway line between stations) and the technical characteristics of the railway rolling stock engaged in transportation. It is supplemented by a second technology, the task of which is to make full use of the capacity of stations, which is expressed in the amount of cargo transported per unit of time, depending on the congestion of stations and the efficiency of roads use. Such a model is described by a system of differential equations with discontinuous right-hand sides. The analytical solution of such a system is extremely difficult, therefore, it was investigated numerically. The results of a numerical study of this system are presented, the main purpose of which is to determine the dynamics of freight traffic, and also study its dependence on the model parameters characterizing the capacity of the stations and railway tracks, as well as the workload of the stations in the initial time.

 

 

Keywordsorganization of railway cargo transportation, freight traffic intensity, differential equations, numerical solution, stationary flow
AcknowledgmentThis study was supported by the Russian Foundation for Basic Research within Projects №19-01-00147 и №19-010-00958
Received25.03.2021
Publication date29.03.2021
Number of characters24824
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