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Generalized Data Envelopment Analysis And Its Application

In: New Frontiers Of Decision Making For The Information Technology Era

Author

Listed:
  • Hirotaka NAKAYAMA

    (Department of Applied Mathematics, Konan University, 8-9-1 Okamoto, Higashinada, Kobe 658-8501, Japan)

  • Tetsuzo TANINO

    (Department of Electronics and Information Systems, Osaka University, 2-1 Yamada-oka, Suita, Osaka 565-0871, Japan)

  • Yeboon YUN

    (Department of Electronics and Information Systems, Osaka University, 2-1 Yamada-oka, Suita, Osaka 565-0871, Japan)

Abstract

Data envelopment analysis (DEA) is a method to calculate a relative efficiency for each decision making unit on the observed data, and a number of DEA models have been studied, for example, the CCR model, the BCC model and the FDH model. This paper suggest a model called GDEA (generalized DEA) model, which can treat the above stated DEA models in a unified way. In addition, by establishing the theoretical properties on relationships among the GDEA model and those DEA models, we prove that the GDEA model make it possible to calculate the efficiency of decision making unit incorporating various preference structures of decision makers. Finally, we try to apply a method using GDEA in order to generate Pareto optimal solutions to multi-objective optimization problems and show the effectiveness of the proposed method through illustrative examples.

Suggested Citation

  • Hirotaka NAKAYAMA & Tetsuzo TANINO & Yeboon YUN, 2000. "Generalized Data Envelopment Analysis And Its Application," World Scientific Book Chapters, in: Yong Shi & Milan Zeleny (ed.), New Frontiers Of Decision Making For The Information Technology Era, chapter 13, pages 227-248, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812792907_0013
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