THE PROBLEM OF THE RATIONAL USE OF THE RAILWAY NETWORK

Abstract

The purpose of this work is the development of mathematical models and computational methods for the rational distribution of passenger and freight trains on the network of railways on the basis of vector optimization in order to meet the demand for passengers and consignors, depending on the train-km mileage, travel time , Mechanical work on their movement. The main objective of the study is to rationally distribute the size of the Passau-Cairo and freight trains on the railway network on the basis of vector optimization in order to meet the demand of passengers and consignors, depending on the train-km mileage, the time of train movement, and the mechanical work on their movement. The object of the study is a network of a railway test site with peaks at technical stations. The subject of the study is the distribution of passenger and freight trains on the railway network, taking into account limitations on the processing capacity of technical stations and the carrying capacity of the distances. The scientific novelty consists in proposing a new method for rational distribution of passenger and freight trains on the railway network based on vector optimization. The necessary conditions have been obtained to solve the problem of rational distribution of the sizes of passenger and freight trains on the railway network. Practical significance. As a result of the proposed approach, an economical and mathematical variant of the rational distribution of passenger and freight trains on the railway network was developed on the basis of vector optimization in order to meet the demand of passengers and consignors, depending on train-km mileage, train travel time, Movement.