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Tr. Inst. Mat., 2007, Volume 15, Number 2, Pages 15–26 (Mi timb93)  

This article is cited in 1 scientific paper (total in 1 paper)

The open Leontiev–Ford model

P. P. Zabreiko

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: This article deals with an open Leontiev–Ford model that describes a linear economics. It is assumed that this economics produces $m$ commodities and $n$ damages; under these assumptions the model is a underdetermined linear system of $m+n$ equations with $m+2n$ unknowns. The results of the article are the producity criterium, theorems about conditions under which the system can compensate the whole damage and theorems about conditions under which the final damage consists of a given part of the whole damage and so on. Formally, these results are theorems about the existence (for the system under consideration) of nonnegative solutions with special properties.

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Document Type: Article
UDC: 517.948:330.105
Received: 12.10.2006

Citation: P. P. Zabreiko, “The open Leontiev–Ford model”, Tr. Inst. Mat., 15:2 (2007), 15–26

Citation in format AMSBIB
\Bibitem{Zab07}
\by P.~P.~Zabreiko
\paper The open Leontiev--Ford model
\jour Tr. Inst. Mat.
\yr 2007
\vol 15
\issue 2
\pages 15--26
\mathnet{http://mi.mathnet.ru/timb93}


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    This publication is cited in the following articles:
    1. P. P. Zabreiko, A. N. Tanygina, “Opisanie reshenii otkrytoi modeli Leonteva–Forda v idealnykh prostranstvakh”, Tr. In-ta matem., 16:2 (2008), 37–48  mathnet  zmath
  • Труды Института математики
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