×

A comparative analysis of the DEA-CCR model and the VIKOR method. (English) Zbl 1183.90250

Data envelopment analysis (DEA) is an operations research technique for measuring the performance of decision-making units (DMUs), with multiple no commensurable inputs and outputs. DEA introduces a model for determination of weights that maximize efficiency of the DMUs. The primary focus of the DEA model is to compare decision-making units (alternatives) in terms of their efficiency in converting inputs into outputs. Among the numerous approaches of available decision making processes, the authors describe and compare two widely used ones: VIKOR and CCR-DEA. The multicriteria decision making (MCDM) method VIKOR uses a common set of weights expressing a decision maker’s preferences. In contrast, the CCR model of DEA provides an efficiency measure that does not rely on the application of a common weighting of the inputs and outputs. The DEA-CCR model could be applied to screen alternatives in a multiple objective sense without DM’s preference among criteria. A comparison of DEA and MCDM shows that DEA resembles MCDM, but the results differ. An approach which uses DEA to determine a common set of weights to be used within the VIKOR method is presented in this paper. However, such common set of weights has no relation with the preference of decision maker who is competent to assess the relative importance of the criteria. Thus, DEA could be a preprocess in MCDM, providing screening of alternatives, particularly when the decision maker is not able to express preferences at the beginning of system design or planning. An application of DEA and MCDM is illustrated by an example of hydropower system planning.

MSC:

90B50 Management decision making, including multiple objectives
62C25 Compound decision problems in statistical decision theory
PDFBibTeX XMLCite
Full Text: DOI