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SOME MODELS OF OPTIMAL PLANNING BASED ON THE SCHEME OF INTERSECTORAL BALANCE
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SOME MODELS OF OPTIMAL PLANNING BASED ON THE SCHEME OF INTERSECTORAL BALANCE
Annotation
PII
S042473880000621-2-1
Publication type
Article
Status
Published
Authors
Vitaly Belenky 
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.
Date of publication
01.07.1967
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References



Additional sources and materials

1. D. B. Yudin, E. G. Holstein. On one method of quantitative analysis of simplified economic models, In the sat. Application of mathematics in economic research. vol. 2. M., Sotsekgiz, 1961.
2. S. Karlin. Mathematical methods in Game theory, programming and economics. Moscow, Mir, 1964.
3. E. B. Yershov. Solution of a generalized static model of intersectoral balance. Materials for the conference on the experience and prospects of using mathematical methods and computers in planning. Novosibirsk, 1962 (rotaprint of the Gosplan Research Institute).
4. E. B. Ershov. Mathematical methods in a static model of intersectoral balance. In the collection Methods of planning intersectoral proportions. M., Economics, 1965.
5. Yu. N. Gavrilets, B. N. Mikhalevsky, Yu. R. Leibkind. A linear model of optimal growth of a planned economy. In Sat. Application of mathematics in economic research. vol. 3. M., Mysl, 1965.
6. A. Taitsukov. Thesis, Moscow State University, mech. - mat. faculty, Department of Computational Mathematics, 1966.

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