Abstract
Performance evaluation is an importance issue in supply chain management. Yang et al. (Ann. Oper. Res. 38(6):195–211, 2011) defined two types of supply chain production possibility sets and proved the equivalence between them. Based on the sub-perfect CRS production possibility set, they proposed a supply chain DEA model to appraise the overall technical efficiency of supply chains. The relationship among efficiency scores of the proposed model, CCR models of system and subsystems are discussed. However, we find that the equivalence between the two types of supply chain production possibility sets is not correct. The proofs of their three theorems are all problematic. In this paper, we correct some results and give three new proofs.
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Research supported by the National Natural Science Foundation of China (No. 70901024), Chinese Postdoctoral Science Foundation, Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0916) and China National Funds for Distinguished Young Scientists (No. 70825006).
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Zhou, Z., Wang, M., Ding, H. et al. Further study of production possibility set and performance evaluation model in supply chain DEA. Ann Oper Res 206, 585–592 (2013). https://doi.org/10.1007/s10479-013-1365-9
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DOI: https://doi.org/10.1007/s10479-013-1365-9