Algorithmizing the methods of basis matrices in the study of balace intersectoral ecological and economic models
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 3, Issue 4
Abstract
<p>Ecological-economic models (such as Leontiev-Ford) play a special role in solving the fundamental problems of long-term planning, taking into account the factor of environmental management. On their basis, the task of justifying the magnitude of the costs of environmental protection can be implemented, considering the socio-economic effect and their distribution in the territorial-industry context.</p><p>Based on the proposed balance model, typical generalizations («extensions») of the model are highlighted, which, in general, increase its dimension, but do not «fall out» of the linear class. In particular, the issues of analyzing the impact on changes in the volume of gross sectoral issues as a result of changes in structural industry proportions are studied, corresponding to changes in the technological structure of the functioning of the ecological-economic system in the sectoral context.</p><p>In order to solve the problem, it was developed to use the algorithms of basis matrix method, which are equipped with the technology for determining solutions of the system of matrix linear equations in accordance with the changes and generalize the model. At the same time, changes may be experienced by individual elements or a group of elements, one or a group of rows (columns), in blocks of matrix submatrices. The proposed algorithms are implemented for the case of changes in the matrix of constraints of the original system without recalculation (again).</p><p>We considered various variants of changes in the model and their influence on the new solution in case of «perturbation» in submatrices of the constraint matrix (group of elements forming a block) of the model. In particular, the variant with the «inclusion («exclusion») of new blocks of submatrices, that is an increase (or decrease) in the dimension of the original constraint matrix of mathematical model. Such models are provided by a linear system, in particular, a system of linear algebraic equations (SLAE).</p><p>Such an approach makes it possible to carry out directional changes in the model in order to achieve the desired proportions of the «useful» and «harmful» component in the production structure (as a solution to the problem).</p>Further development of the proposed theory makes it possible to proceed to the study of aggregation issues of the balance scheme «input-output», determining a specific corridor of permissible changes in order to achieve a target reference point for the volume of sectoral output.
Authors and Affiliations
Volodymyr Kudin, Andriy Onyshchenko, Igor Onyshchenko
Keywords
Related Articles
- EP ID EP666403
- DOI 10.15587/1729-4061.2019.170516
- Views 57
- Downloads 0
Recurrent network as a tool for calibration in automated systems and interactive simulators
<p>We have constructed a method for the auto-calibration and correction of values of the vector of magnetic induction, which is suitable for use under conditions of limited computational resources in microcontrollers and...
Development of information technology of term extraction from documents in natural language
<p class="KeywordsCxSpFirst">It is shown that domain dictionaries are widely used at various stages of design and operation of software products. The process of dictionary development, especially term extraction, is very...
Comprehensive approach to modeling dynamic processes in the system of underground rail electric traction
<p>An analysis of tasks on improving energy efficiency of electric traction systems reveals the need for the introduction of new technologies, namely modern rolling stock with a traction asynchronous electric drive, as w...
Hydrothermal mode of the flowthrough reservoircooler with respect to its morphometric changes
<p>We carried out hydrothermal investigations of the flow-through reservoir-cooler with running water of the thermal power plant. The purpose of the study was to investigate a degree of silting of the flow-through reserv...
Design of the conceptual implementation of an apparatus with the induced heat and mass transfer for vaporization and rectification
<p>The need to find solutions to problems on the efficient use of energy resources has been substantiated, under conditions for meeting the requirements to the environmental sustainability of production in the process of...