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A Dynamic Input-Output Model Solution withConsumption 被引量:4

A Dynamic Input-Output Model Solution with Consumption
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摘要 In this paper we research into the solution to the homogeneous input-output modelwith consumption of forward delay in which the lag is one production cycle. If supposing X(1) is anoutput vector of the first product.ion cyele, S(t) is the consumption vector of the t-th production cyele,W(t) = (A + B)(-1)S(t), Xi, is the right characteristic vector of(I - A)(-1) (A + B). In this paper we confirm that the necessary and sufficient conditions for economicbalanced development are for every ,where A, is the characteristic value of (I - A)(-1) (A + B) which correlates to Xi. is the economicincreasing ratio of the t-th production cycle, S is a vector subset. In this paper we research into the solution to the homogeneous input-output modelwith consumption of forward delay in which the lag is one production cycle. If supposing X(1) is anoutput vector of the first product.ion cyele, S(t) is the consumption vector of the t-th production cyele,W(t) = (A + B)(-1)S(t), Xi, is the right characteristic vector of(I - A)(-1) (A + B). In this paper we confirm that the necessary and sufficient conditions for economicbalanced development are for every ,where A, is the characteristic value of (I - A)(-1) (A + B) which correlates to Xi. is the economicincreasing ratio of the t-th production cycle, S is a vector subset.
出处 《Systems Science and Systems Engineering》 CSCD 1999年第2期140-150,共11页 系统科学与系统工程学报(英文版)
关键词 consumptioll vector output vector economic increasing ratio maximum characteristicValue consumptioll vector, output vector economic increasing ratio, maximum characteristicValue
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