STUDY OF FLOW DYNAMICS IN THE MODEL OF
CARGO TRANSPORTATION ORGANIZATION
BETWEEN NODE STATIONS

Abstract

This article presents a model of the organization of railway cargo transportation on a section of the railway network between two node stations. All stations have the same characteristics, such as the number of roads on them, the efficiency of their use, as well as the capacity. The latter characteristic is defined as the maximum amount of transported cargo per unit of time, depending on the load of the stations, i.e. on the number of involved roads. Using a a system of differential equations with discontinuous right parts, the intensity of cargo flow is set, which depends on the intensity of the supply of goods to the initial nodal station and the rules for moving goods from one station to another. A numerical realization of this system is carried out, with the help of which the dynamics of the load of stations and the flow arising in the system of cargo transportation are investigated.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 5
Year: 2020

DOI: 10.12732/ijam.v33i5.14

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