MODEL FOR ORGANIZATION CARGO TRANSPORTATION
AT RESOURCE RESTRICTIONS
Levon A. Beklaryan1, Nerses K. Khachatryan2, Andranik S. Akopov3
1Central Economics and Mathematics Institute
of Russian Academy of Sciences
Nakhimovsky Prospect, 47, 117418 - Moscow, RUSSIA
2Plekhanov Russian University of Economics
Stremyanny lane, 36, 117997 - Moscow, RUSSIA
3Plekhanov Russian University of Economics
Stremyanny lane, 36, 117997 - Moscow, RUSSIA

Abstract

The model for organizing railway transportation on a long stretch of road between two node stations connected by a large number of intermediate stations is investigated. It allows to predict dynamics of load of the stations and flows arising in transport network at the set procedure of the movement of freight traffic. Such model is given by a system of differential equations with discontinuous right parts and satisfying the conditions setting resource restrictions. The numerical realization of this system is carried out. Depending on the ratio of the intensity of sending goods to the initial node station and the intensity of the distribution of goods from the final node station, three types of solutions of a given system are identified.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 4
Year: 2019

DOI: 10.12732/ijam.v32i4.7

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