An optimal two-stage distribution of material flow at the fuel and energy complex enterprises

Borys Blyuss,Larysa Koriashkina,Serhii Dziuba,Svitlana Us,Serhii Minieiev,A Bulat,V Heyets,Y Kryzhanivskyi,B Liu,O Voloshyn

doi:10.1051/e3sconf/201910900008

Abstract

The two-stage distributing of material flows in the transport-logistics system of fuel and energy complex is considered. The structural elements of such system are mines (centers of the first stage), extracting coal from various mineral deposits in a certain area, and enterprises that consume or process coal (centers of the second stage). A presented method for solving this problem is based on elements of the theory of continuous linear problems of optimal set partitioning, duality theory, and methods for solving linear programming problems of transport type. The optimal solution of the two-stage location-allocation problem is obtained in an analytical form, which contains parameters that are the optimal solution of the auxiliary finite-dimensional optimization problem with a non-differentiable objective function. Therefore, the part of numerical algorithm is non-differentiable optimization method – modification of Shor’s r-algorithm. The results of computational experiments solving model problems confirm the correctness of the presented method and algorithm. It is demonstrated the synergistic effect obtained from formulation of continuous problems of optimal partitioning sets with additional constraints. It is showed, how important to take into account the multi-stage distributing of raw materials when it is necessary to locate new transport-logistics system objects in a given territory.

Highlights

Sustainable development of the fuel and energy complex (FEC) of the country is the most important component of the national energy security and the long-term prospect of Ukraine’s economic growth
The research addresses an urgent problem related to the optimal organization of two-stage processes for the distribution of material flows in the transport and logistics system, the structural elements of which are mines that produce coal in a certain area and enterprises that consume or recycle this resource
The total amount of costs associated with the management of material and connected service and financial flows throughout the logistics chain, starting from the moment of inception of the flow until it arrives at the final consumer, was considered

Summary

Introduction

Sustainable development of the fuel and energy complex (FEC) of the country is the most important component of the national energy security and the long-term prospect of Ukraine’s economic growth. In the development of the productive forces of the country, the fuel and energy complex plays an ever-increasing role, which is caused, on the one hand, by global trends, and on the other, by the energy capacity of the national economy and the limited energy resources of the region. The extraction of potential benefits from the development of fuel resources is possible only if there is a longterm, responsible approach to the development of the mining industry

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Conclusion