RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

  • ISSN (Print) 0424-7388
  • ISSN (Online) 3034-6177

SOME MODELS OF OPTIMAL PLANNING BASED ON THE SCHEME OF INTERSECTORAL BALANCE

PII
S042473880000621-2-1
DOI
10.7868/S0000621-2-1
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 3 / Issue 4
Pages
539-549
Abstract

The consideration of mathematical models of the national economy using the intersectoral balance occupies a significant place in the works of Soviet mathematical economists. And this is not accidental, because for a socialist planned economy, the task of balanced economic development rises to full growth at all levels of planning. In this regard, the mathematical study of the simplest models and algorithms for their solution is of interest.

In this paper, we first present some mathematical questions related to the solution of the problems that arise in this case. The results obtained are of a fairly general independent nature and are allocated in a separate section. Complete proofs of the theorems (very simple) are given in the appendix placed at the end of the article, the application of these results to economic and mathematical models is demonstrated in section 2 by examples of linear static models; the first example is purely illustrative, and the second is more serious and can be used as the basis for some real models. Section 3 presents a nonlinear model of long-term planning proposed by V. A. Volkonsky. The development of the algorithm applied to this model and numerical calculations are carried out jointly with A. O. Taitsukov.
Keywords
Date of publication
01.07.1967
Year of publication
1967
Number of purchasers
0
Views
667

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At the Ministry of Education and Science of the Russian Federation

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Scientific Electronic Library