Determining the Production Possibility Set for Ratio Data: A Novel Hybrid DEA-R Approach

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Springer Science and Business Media Deutschland GmbH

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In some organizations, performance evaluation is measured using ratios such as the ratio of outputs to inputs or vice versa (leverage ratio and quick ratio). While a handful of papers have been published on the DEA-R research stream, thus far the role of each input in terms of the production of each output has been neglected. Therefore, this chapter revisits the axiomatic structure that underlies DEA and Ratio Analysis (RA) models in terms of their resulting Production Possibility Set (PPS) and develops a novel hybrid DEA-RA approach capable of measuring the share of each index (i.e. input/output or output/input ratios) in the overall efficiency measure. As a consequence of this novel perspective on efficiency decomposition, weight restrictions for each specific input can be determined in accordance with its share in producing a given output. A case study on an auto spare-parts company is presented to illustrate the applicability of the new DEA-RA approach, while providing means for a robustness analysis with previous DEA-R models. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.


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Analysis Approach, Analysis Models, Axiomatics, Input-Output, Organization Performance, Overall Efficiency, Performances Evaluation, Production Possibility Set, Ratio Analysis, Ratio Data


Studies in Big Data

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