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

Blyuss, Borys; Koriashkina, Larysa; Us, S. A.; Minieiev, Serhii; Dziuba, Serhii

doi:10.1051/e3sconf/201910900008

Cited by 2 publications

(6 citation statements)

References 4 publications

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“…Since the paper is the consistent continuation of the scientific studies represented in [1], we are not going to focus on scientific publications dealing with the problems of optimization of supply volumes and development of the mechanisms to reduce total costs for stocks preservation at mining enterprises. Consider only the papers involving up-to-date GIS-technologies to solve similar problems.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The required and sufficient conditions of optimality for continuous problem of optimal set partitioning with additional connections of ( 1)-( 5) type are obtained in [1] in the assumption that function ρ(x) ≥ 0 for almost all x ϵ Ω, and balance conditions are met:…”

Section: Algorithm Of the Problem Solutionmentioning

confidence: 99%

“…Select the initial exploratory step h0 > 0, assume that B0 = I3N is square matrix of 3N × 3N dimension and define u (1) = u (0) -h0g (u (0) ).…”

Section: Stepmentioning

confidence: 99%

“…Previously, paper [1] considered a two-stage process of material flow allocation in transportation and logistic system, which structural elements were represented by mines (firststage centres) extracting coal being continuously distributed within a certain area, and enterprises consuming or processing that coal (second-stage centres). In this context, it was stipulated that a specific mining territory (zone) was allocated to each mine.…”

Section: Introductionmentioning

confidence: 99%

“…Owing to the formulation and solution of the corresponding continuous problems of optimal set partitioning with the additional connections (OSPAC), it is possible to reduce transportation costs at fuel and energy complex enterprises involved in coal mining within the specified territory and coal transportation to the warehouses of the corresponding mines with further product supply to the end users [1].…”

Section: Introductionmentioning

confidence: 99%

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Solution of the problem to optimize two-stage allocation of the material flows

Bulat¹,

Dziuba²,

Minieiev³

et al. 2020

Min. miner. depos.

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Purpose is to elaborate innovative and computationally efficient algorithm to solve a problem of two-stage allocation of the resource occupying continuously the specified area as well as to demonstrate the behaviour of the corresponding software developed with the application of advanced geoinformation resources. Methods. The paper involves mathematical models of continuous problems of optimal set partitioning with additional connections to describe two-stage problems of the material resource location-allocation. Methodological approach to the solution of such problems is based on the idea of their reducing to the problem of infinite-dimensional mathematical programming for which it is possible to obtain optimal solution in the analytical form with the help of the duality theory apparatus. Findings. Mathematical and algorithmic apparatus to solve continuous problems applied for the fuel and energy complex enterprises has been developed making it possible to obtain partitioning of the deposit area into the zones, which are allocated to the first-stage enterprises exclusively. The algorithm operation is demonstrated in terms of the model problem solution. It has been defined that the benefit of such an approach is in the reducing of the infinite-dimensional programming problem to the problem of finite-dimensional nonsmoth optimization since the obtained computational formulas contain the parameters which determination requires solving the auxiliary problem of the nondifferentiable function optimization. Originality. Contrary to the previously developed one, the proposed algorithm does not stipulate solution of the linear programming problem of transport type at each step of the iteration process. Such a problem is solved only once to find the volumes of product transportation between the first-stage and second-stage enterprises after defining all the optimal solution components. Practical implications. Software implementation of the algorithm on the basis of the advanced geoinformation technologies and resources, in terms of the solution of raw material flow allocation, makes it possible to reduce total costs for the management of material flows and their accompanying service flows throughout the whole logistic chain beginning from the flow origin up to its arrival to the end user.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Algorithm Of the Problem Solutionmentioning

confidence: 99%

“…Select the initial exploratory step h0 > 0, assume that B0 = I3N is square matrix of 3N × 3N dimension and define u (1) = u (0) -h0g (u (0) ).…”

Section: Stepmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Solution of the problem to optimize two-stage allocation of the material flows

Bulat¹,

Dziuba²,

Minieiev³

et al. 2020

Min. miner. depos.

Self Cite

View full text Add to dashboard Cite

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The choice of mining development strategy based on the improved Bayes criterion

et al. 2020

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The choice of mining development strategies is based on the main indicators of mining and geological conditions that characterize mineral deposits. The purpose of the research is to argue the application of the improved Bayes criterion when choosing rational mining development strategies by taking into account the complex mining and geological conditions. The methodology of decision-making in terms of managing geotechnical systems depends on whether or not the probabilities of the conditions and dynamics of the parameters of rocks and soils are known during the development of mineral deposits, as well as the construction of infrastructure facilities. If the probabilities are unknown, then there is the problem of making decisions in the conditions of uncertainty of the initial data to assess the efficiency of the mining enterprises. And if the probabilities are known, then we are dealing with the task of making decisions in conditions of risk and assess the safety of mining operations. The improvement of the Bayes criterion enables us to determine, with an acceptable range of changes in efficiency, a strategy which provides more likely an increase in economic efficiency compared to a strategy selected using the traditional Bayes criterion.

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

Cited by 2 publications

References 4 publications

Solution of the problem to optimize two-stage allocation of the material flows

Solution of the problem to optimize two-stage allocation of the material flows

The choice of mining development strategy based on the improved Bayes criterion

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