The Application of Pareto-Efficiency to DEA Model
Jun Zhang
Abstract
Jun Zhang
Abstract
This paper develops a multiple objective programming model (MOPM) whose objective function is the ratio of DMU's inputs to outputs, and some theorems about the relationship between the pareto efficiency of MOPM and DEA efficiency have been proved. Based on the theorems, more simple DEA model could be used to evaluate DMUs and the computing load could be reduced largely.
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This paper develops a multiple objective programming model (MOPM) whose objective function is the ratio of DMU's inputs to outputs, and some theorems about the relationship between the pareto efficiency of MOPM and DEA efficiency have been proved. Based on the theorems, more simple DEA model could be used to evaluate DMUs and the computing load could be reduced largely.
Key concepts: Pareto principle, Pareto efficiency, Pareto optimal, Simple (philosophy), Mathematical optimization, Function (biology), Mathematics, Computer science