Abstract
Data envelopment analysis (DEA) is a mathematical programming approach to assess relative efficiency of a group of decision-making units. In view of the defects of existing models in evaluating efficiency of the system with P independent subsystems, Yang et al. [10] introduced YMK model with the assumption that decision-making unit (DMU) is independent of each other. But in some production systems, decision-making units usually have some relationships in this way or that. In this paper, DEA model is given by assuming that DMUs can cooperate with others in its subgroups. Some property and the efficiency relationship of the whole system and its subsystems are given.
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Yongrui Duan received her master's degree from Shanxi University and is now studying in Shanghai Jiao Tong University for Ph. D. Her research interests focus on Optimization, Decision-making Analysis, Cybernetics and Functional differential equation.
Peng Tian received his Ph. D from Northeast University and mow is a professor in Shanghai Jiao Tong University. His research interests focus on Optimazation and Supply chain management et al.
Weiping Zhang received her master's degree from Chongqing University and is now studying in Shanghai Jiao Tong University for Ph. D. His research interests focus on Micro system optimization and design et al.
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Duan, Y., Tian, P. & Zhang, W. DTZ model with independent subsystems. JAMC 14, 173–183 (2004). https://doi.org/10.1007/BF02936106
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DOI: https://doi.org/10.1007/BF02936106