Efficiency Measurement of Multiple Components units in Data Envelopment Analysis Using Common Set of Weights

The current paper presents a mathematical programming model for use to the measure of eciency where multiple performance measures are needed to examine the performance and productivity changes. In many applications of data envelopment analysis (DEA), the existing models are designed to obtain a single eciency measure. However, in many real situations, the units under consideration may perform several dierent functions or can be separated into dierent components. In these cases, some inputs are often shared among those components and all components are involved in producing some outputs and all components have exclusive inputs and outputs. Therefore, measuring the eciency of each component and measuring the aggregated effeciency of each unit are important. In this paper, car factoriesʹ eciency is analyzed using data from 19 car factories in Iran. First, a DEA-effeciency analysis of multi-component DMUs, which proposed by Cook et al is presented and then by using a "common set of weights (csw)", a new model is proposed to measure the effeciency of each component and aggregated effeciency of units. One of the most important advantages of this model is that by solving only one linear programming problem all effeciency measures may be obtained. Secondly, by grouping the branches according to their organizational designation, their effeciency is measured