GENERALIZED DATA ENVELOPMENT ANALYSIS AND ITS APPLICATION

Hirotaka Nakayama, Tetsuzo Tanino and Yeboon Yun
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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

Chapter 13 in New Frontiers of Decision Making for the Information Technology Era, 2000, pp 227-248 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractData 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.

Keywords: Multiple Criteria; Decision Making; Decision Support Systems; Tradeoff Analysis; System Engineering; Linear Programming (search for similar items in EconPapers)
Date: 2000
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