Abstract

One of the problems of modernizing multimodal transportation of goods in post-Soviet countries is the optimization of the transport supply chain. This requires, in particular, a software package that is to be adapted to local conditions, to the expanded set of risks and the need, in general, to perform optimization on the base of fuzzy data. When choosing the objective function, it is necessary to take into account not only the cost of the specific option of route, the time of transportation, but also the degree of reliability of both the contractors and the infrastructure. For creating a mathematical model were used graph theory and fuzzy logic. Separate types of transport are considered as directed graphs. The set of directed graphs of modes of transport is a multidimensional graph, under the presence of connecting arcs between their nodes. These nodes represent the points of transshipment. The software package assesses the reliability of each section of the supply chain. The developed software package using the proposed mathematical model will allow improving multimodal transportation of goods.

Highlights

  • Ukraine is rapidly integrating into the world economy

  • The purpose of this work was to develop such a mathematical model of software packages of SPDR multimodal transport, which would meet the modern requirements of multimodal transportation in Eastern European countries, in particular, in Ukraine

  • A mathematical model of SPDR for multimodal transport is suggested for countries with a high level of logistics losses, with a set of risks of cargo transportation, much larger than in developed countries

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Summary

Introduction

Ukraine is rapidly integrating into the world economy. Geographic location of the country, proximity to European transport corridors makes it a promising transport hub. For qualitative planning and forecasting of the risks of multimodal transportation, there was a need to develop software and a mathematical core that would be adapted to the realities of the Ukrainian transportation system. The planning and forecasting of transport risks have been long and widely used by various countries throughout the world [1, 2, 3, 4] These functions are included into application packages. In Ukraine, computerized decision support systems (SPDRs) were introduced into practical operation for the transportation of goods, their transshipment, the choice of the most efficient routes [5, 6]. The purpose of this work was to develop such a mathematical model of software packages of SPDR multimodal transport, which would meet the modern requirements of multimodal transportation in Eastern European countries, in particular, in Ukraine

The mathematical modeling of multimodal transportation
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