Effciency 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 ofeciency where multiple performance measures are needed to examine the performanceand productivity changes. in many applications of data envelopment analysis (dea),the existing models are designed to obtain a single efficiency measure. however, in manyreal situations, the units under consideration may perform several different functions orcan be separated into dierent components. in these cases, some inputs are often sharedamong those components and all components are involved in producing some outputs andall components have exclusive inputs and outputs. therefore, measuring the efficiency ofeach component and measuring the aggregated efficiency of each unit are important. inthis paper, car factories' efficiency is analyzed using data from 19 car factories in iran.first, a dea-efficiency analysis of multi-component dmus, which proposed by cook et alis presented and then by using a common set of weights (csw), a new model is proposedto measure the effciency of each component and aggregated efficiency of units. one of themost important advantages of this model is that by solving only one linear programmingproblem all eciency measures may be obtained. secondly, by grouping the branchesaccording to their organizational designation, their efficiency is measured.