用产品工艺假定推算两大部类构成的充要条件
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引用本文:陶 为 群.用产品工艺假定推算两大部类构成的充要条件[J].经济数学,2019,(3):57-63
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作者单位
陶 为 群 (中国人民银行 南京分行江苏南京 210004) 
中文摘要:依据投入产出表使用产品工艺假定推算社会再生产的两大部类构成,比使用产业部门工艺假定推算更符合马克思政治经济学原理.使用产品工艺假定推算在数学上可以归结为一个带非负约束的二次规划问题.运用参数线性规划方法能够证明这样的推算存在一个充分必要条件.这一充分必要条件对于通常使用产品工艺假定与产业部门工艺假定的组合进行推算,也有作用.
中文关键词:政治经济学  两大部类构成  产品工艺假定  充要条件  参数线性规划
 
On the Sufficient and Necessary Condition for Calculation of the Components of the two Categories by Using the Product Process Assumption
Abstract:According to the input-output table, it is more consistent with economic theorythat calculating the components of the social two categories by using the product process assumption than by using the industrial sector process assumption. The calculating by using the product process assumption can be mathematically reduced to a quadratic programming problem with non-negative constraints. Parametric linear programming method can used to prove that there is a sufficient and necessary condition for such calculation. This sufficient and necessary condition is also useful for the usual calculation of the components of the two by use of the combination of the product process assumptions and the industry sector process assumptions, that is the mixed process assumption.
keywords:Political economy  The components of the two categories  The product process assumption  Sufficient and necessary condition  Parametric linear programming
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