Network data envelopment analysis efficiency measure to matrix-type organization with an application in input-output tables

Abstract

This paper defines the production possibility set and constructs the multiple objective programming for matrix-type organization on the basis of the Charnes, Cooper and Rhodes (CCR) model. Then the efficiency score of the complex system can be calculated through solving the multiple objective programming. Compared with the traditional data envelopment analysis (DEA) model shows the new model can overcome the drawbacks of the traditional DEA model which ignore the internal structures of decision making units. Using data in input-output table, the new model is tested and the results show that the new model can also evaluate divisional efficiencies, which can help decision maker’s to detect the sub-processes needed to be evaluated.   Key words: Data envelopment analysis, matrix-type organization, multiple objective program, network data envelopment analysis (DEA), subsystem efficiency, input-output table.