This paper examines the nature of production function and derives its mathematical description similar to Cobb-Douglas form. Defining pareto optimality production state and reducing multiple outputs to a single output...This paper examines the nature of production function and derives its mathematical description similar to Cobb-Douglas form. Defining pareto optimality production state and reducing multiple outputs to a single output, we present Data Envelopment Analysis (DEA) models, which have, in effect, extended the definition for decision making unit (DMU) from cross-section to timeseries so as to determine production function satisfying maximal output and minimal inputs under the condition of pareto optimality. By means of production function determined in this paper we can further obtain such important information in the context of technical progress as index of the level of disembodied type technology and so on. In addition, a case study shows the contributive consequent of this work.展开更多
文摘This paper examines the nature of production function and derives its mathematical description similar to Cobb-Douglas form. Defining pareto optimality production state and reducing multiple outputs to a single output, we present Data Envelopment Analysis (DEA) models, which have, in effect, extended the definition for decision making unit (DMU) from cross-section to timeseries so as to determine production function satisfying maximal output and minimal inputs under the condition of pareto optimality. By means of production function determined in this paper we can further obtain such important information in the context of technical progress as index of the level of disembodied type technology and so on. In addition, a case study shows the contributive consequent of this work.
