Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (3): 131-139.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.016

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The production possibility set and frontier  for the two-stage additive DEA model

WANG Xiaomin1,*   

  1. 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2015-05-31 Online:2015-09-15 Published:2015-09-15

Abstract:

 This paper mainly focuses on the production possibility set and the production frontier for the two-stage additive DEA model. Based on the special status of the intermediate measures in the two-stage model, the production possibility set with a pair of intermediate measures and its axiom system are established. Then the production frontier is defined, which is proved to be equivalent to DEA efficiency. A multiobjective programming model is constructed to prove the equivalence of Pareto efficiency and DEA efficiency at last.

Key words: data envelopment analysis, two-stage additive model, intermediate measures, production possibility set, productionfrontier, DEA efficient