Model for Organization Cargo Transportation at Resource Restrictions

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.

Reduction of dimension in the problem of optimal management of a freight cars fleet using unmanned locomotives

“…(1, 1), (2, 2), (3,3), (3,4), (4,5), (1,6), (2,7), (3,8), (4,9), (5,10), (1,11), (2,12), (3,13), (4,14), (5,15).…”

“…The second group, in particular, is represented by the tasks of forming the timetable of freight trains, as well as the tasks of forming freight flows [5,6]. One of the approaches to the formation of cargo traffic is presented in the works of Khachatryan and Beklaryan [7][8][9][10][11][12][13][14][15][16]. These articles present macroscopic dynamic models in which the process of organizing railway freight transportation is the formation of freight traffic based on the interaction of neighboring stations.…”

Modeling the Process of Cargo Transportation Between Node Stations

“…In the papers(see [11], [12], [13], [14], [15]) a model of the organization of cargo transportation on an extended route between two node stations is investigated. It is assumed that there is a special area between the two neighboring stations where part of the cargo can be temporarily stored in case of high load of stations.…”

Study of Flow Dynamics in the Model of Cargo Transportation Organization Between Node Stations

“…This article presents a macroscopic dynamic model describing the movement of railway transport between two node stations. The main difference from similar models (see [18], [19], [20], [21], [22]) is the rejection of the assumption that there are special roads between stations for temporary storage of part of the cargo in case of high load of stations, as well as modification of the station capacity setting. To the initial node station cargo it is received with some intensity within its capacity.…”