• 论文 •

### 生产力布局的若干经济数学模型

1. 中国科学院系统科学研究所
• 出版日期:1981-01-15 发布日期:1981-01-15

### SOME MATHEMATICAL ECONOMIC MODELS FORALLOCATION OF PRODUCTIVE FORCES

Chen Si-kang

1. Institute of Systems Science, Academia Sinica
• Online:1981-01-15 Published:1981-01-15

Abstract: In this article we discuss the problems of allocation of production forces using themethods of system sciences. The article is divided into six parts. Part I covers economiccriterion and principles for the allocation of productive forces. The economic criterionis to minimize the total production and shipping cost as well as the occupied capitalstock which is calculated in the consumption place of each product.In part II we try to formulate allocation model of productive forces-production sitenear consumption place (model 1). It ia a linear programming model. In this modelthere are sis sets of constraints.1. The received amount of certain product in each consumption place is equal toits required amount.2. The amount shipped from each production site is equal to its amount of pro-duction.3. The amount of production in each production site cannot exceed the productivecapacity.4. The productive capacity constructed in each production site cannot exceed thelimit.5. The total amount of capital required to construct the productive capacity inall production sites cannot exceed the fixed amount.6. Nonnegativity of variables.The objective function of this problem is to minimize the total production cost andshipping cost multiplied by recovered period of capital plus occupied capital stock.This model can be solved by simple method. In this part we show the necessary-condition to obtain the optimum solution of this problem.In part III we try to formulate the allocation! model of productive forces-pro-duction site near material base (model 2).In part IV are concerned with the allocation model of productive forces - pro-duction site near consumption place and material base (model 3).In part V we discuss the allocation model of productive forces when the enterprisesare grouped according to size, e.g., large, medium and small (model 4). Each one hasdifferent production cost and different investment per unit of product.