Abstract

A system of functional relationships between speed, traffic safety and costs, based on a set of criteria describing transportation quality is presented. The overall technological costs of transportation can be determined, when the costs of using road, rail and sea transport are calculated. For this purpose, a case study of creating a mathematical model for choosing the optimal route, taking into account time, costs and safety of transportation, is considered. The model evaluates the time of freight loading and storage at terminals. The total time of transportation, loading and storage differs for particular routes, depending on route structure and terminal operation. Freight safety is calculated in terms of insurance payments, depending on the type of goods, route and time of transportation. The model may be used for calculating any route, when applying the data on particular parks of vehicles.

Highlights

  • It is hardly possible to carry goods quickly, safely and at low cost to any place in the world by using only one transport facility

  • Rational functional relationships should be established between various means of transport, taking into account the volume and safety of goods as well as time and cost of transportation

  • The present paper aims to create and analyse a mathematical-economic model for choosing rational routes of freight transportation, using road, railway and water transport and taking into account the particular parks of various transport facilities

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Summary

Introduction

It is hardly possible to carry goods quickly, safely and at low cost to any place in the world by using only one transport facility. All means of transport (i.e. road, railroad and water transport) should be integrated into a single system of transportation. For this purpose, rational functional relationships should be established between various means of transport, taking into account the volume and safety of goods as well as time and cost of transportation. The present paper aims to create and analyse a mathematical-economic model for choosing rational routes of freight transportation, using road (automobile), railway and water transport and taking into account the particular parks of various transport facilities

Functional relationships between the main parameters of transportation
The relationship to determining costs of freight transportation by rail
Calculating overall technological costs of transportation
Determining the efficiency function
A case study of the model application
The values of the quantities estimated in the case study
General solution of the mathematical model
Conclusions
Full Text
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